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Alexander Unzicker is a theoretical physicist, historian, and author whose award-winning work focuses on the great unanswered questions of physics. He's also the host of Unzicker's Real Physics ( @TheMachian ) where he explores the path forward after a century of particle madness. We talk variable speed of light, the veil of differential geometry, why unification is so difficult, the bright line between mathematics and reality, and much, much more. Support the channel and Dr. Unzicker by buying one of his books: https://amzn.to/3KfcMbL Support the scientific revolution by joining our Patreon: https://bit.ly/3lcAasB Check out our @MaterialAtomics animation of Spin 1/2: https://youtu.be/CWjGO8sukpA Let us know what you think in the comments or on our Discord: https://discord.gg/MJzKT8CQub (00:00:00) Go! (00:05:03) Variable Speed of Light (00:18:27) Einstein, Eddington & Differential Geometry (00:26:41) Refraction (00:41:28) Vacuum Energy & the Mathematical Universe (00:50:47) Size of the Universe (00:59:54) Einstein & Feynman (01:08:56) Simplification & Intuition (01:18:08) Renormalization (01:28:25) The Big Picture (01:34:59) Unification and the Large Number Hypothesis (01:50:15) Unsolved Problems (01:56:44) Incompleteness & Boundary Conditions (02:04:21) Quaternions & the Gods of Modernity (02:10:54) Closing Thoughts #physics #atomic #quantum Check our short-films channel, @DemystifySci: https://www.youtube.com/c/DemystifyingScience AND our material science investigations of atomics, @MaterialAtomics https://www.youtube.com/@MaterialAtomics Join our mailing list https://bit.ly/3v3kz2S PODCAST INFO: Anastasia completed her PhD studying bioelectricity at Columbia University. When not talking to brilliant people or making movies, she spends her time painting, reading, and guiding backcountry excursions. Michael Shilo also did his PhD at Columbia studying the elastic properties of molecular water. When he's not in the film studio, he's exploring sound in music. They are both freelance professors at various universities. - Blog: http://DemystifySci.com/blog - RSS: https://anchor.fm/s/2be66934/podcast/rss - Donate: https://bit.ly/3wkPqaD - Swag: https://bit.ly/2PXdC2y SOCIAL: - Discord: https://discord.gg/MJzKT8CQub - Facebook: https://www.facebook.com/groups/DemystifySci - Instagram: https://www.instagram.com/DemystifySci/ - Twitter: https://twitter.com/DemystifySci MUSIC: -Shilo Delay: https://g.co/kgs/oty671
In this week's episode I walk through the process we've used to guide our family conversations about finding that "family land" for the long haul. Finding land with family can be a dicey endeavor - it requires honesty, real listening and everyone coming with the goal of understanding one another. If you come to a family land search with the idea of convincing everyone to see things your way, it's going to cause lots of drama and potentially damage some of the most valuable relationships in your life. I'll take you through the three main parts of our family's process: Developing individual Quality of Life Statements - a clear one paragraph description of how each individual wants their life to be based on what they value most. This is step 2 from the Minimum Holistic Goal Creation Course. Setting individual Boundary Conditions for beginning your geographic search - start with the two essential lists of boundary criteria; Must Haves and Deal Breakers. Get clear on what you must have and what you will not accept and, most importantly, WHY. Criteria Categories include Natural Resources, Climate, Legal, Taxes, Community/Cultural Amenities, Sound...and whatever else you need to speak! Share it with your people - THis is where the rubber meets the road - actually communicating your desired Quality of Life and Boundary Conditions. We developed a protocol we call "Stick Conversations" to make sure everyone got to say their piece in a way that helped everyone else understand, while minimizing opportunities for hurt feelings, project, judgement etc. I hope this episode will help you have similar conversations with your family, or any group of people near and dear to you, so that all are better off for having had them. Done right, even when points of conflict are unearthed, sharing this introspective work with your inner circle can bring everyone closer together. Getting started designing your homestead? START HERE: Enroll in the Minimum Holistic Goal Creation Mini-Course today for free. This is the ONE THING that will make everything else easier or unnecessary on your homesteading journey! 100% Free Upon completing this course you will have a crystal clear idea of who and what resources you have to work with, your desired Quality of Life that your homestead has to provide for, and what you will need to produce and the conditions required to sustain that production to meet your Quality of Life needs. Music by Alex Grohl
EDUCATIONPh.D., Yale University, Physics, 1968M.S., Yale University, Physics, 1964B.S., Worcester Polytechnic Institute, Physics, 1963RESEARCH AREASTheoretical General Relativity and CosmologyGeometrical Methods in PhysicsSELECTED PUBLICATIONSRobert H. Gowdy (2014) Gowdy Spacetimes. Scholarpedia, 9(3):31673.Gowdy, R. H, B. Douglas Edmonds: “Cylindrical Waves in Expanding Universes: Models for Compact Sources,”Physical Review 75. 084011, 2007Gowdy, R. H.: “Vacuum Spacetimes with Two-parameter Spacelike Isometry Groups and Compact Invariant Hypersurfaces: Topologies and Boundary Conditions,” Annals of Physics (N.Y.) 83, pp 203-241, 1974.PROFESSIONAL APPOINTMENTSChair of VCU Physics Department – 1991-92, 1998-2006, 2013 – presentAssociate Chair of VCU Physics Department – 1989-91Chair of VCU Physics Department – 1983-89Acting chair of VCU Physics Department – 1982-83, 2011-2013Virginia Commonwealth University Associate Professor 1982-presentVirginia Commonwealth University Assistant Professor – 1978-82University of Maryland Physics Assistant Professor – 1972-78University of Maryland Senior Postdoctoral Fellow – 1970-72Atomic Energy Commission Yale Postdoctoral Fellow – 1968-70
The talks will focus on half-BPS boundary conditions for 3d N=2 gauge theories that preserve 2d N=(0,2) supersymmetry. I will review (and extend) the classification of such boundary conditions and the BPS local operators living on them, which form chiral algebras. I define a half-index that counts boundary local operators, or equivalently computes a character of the boundary chiral algebra. With the help of the half-index and some physical intuition, I will identify the action on boundary conditions of some basic dualities, including ``mirror symmetries'' and level-rank dualities. This in turn leads to a definition of duality interfaces. (Work in progress with D. Gaiotto and N. Paquette.)
The talks will focus on half-BPS boundary conditions for 3d N=2 gauge theories that preserve 2d N=(0,2) supersymmetry. I will review (and extend) the classification of such boundary conditions and the BPS local operators living on them, which form chiral algebras. I define a half-index that counts boundary local operators, or equivalently computes a character of the boundary chiral algebra. With the help of the half-index and some physical intuition, I will identify the action on boundary conditions of some basic dualities, including ``mirror symmetries'' and level-rank dualities. This in turn leads to a definition of duality interfaces. (Work in progress with D. Gaiotto and N. Paquette.)
Link to bioRxiv paper: http://biorxiv.org/cgi/content/short/2020.07.02.183608v1?rss=1 Authors: Ladron-de-Guevara, A., Shang, J. K., Nedergaard, M., Kelley, D. H. Abstract: Cerebrospinal fluid (CSF) flows through the perivascular spaces surrounding cerebral arteries. Revealing the mechanisms driving its flow would bring improved understanding of brain waste transport and insights for disorders including Alzheimer's disease, stroke, and traumatic brain injury. In vivo CSF velocity measurements in mice have been used to argue that flow is driven primarily by the pulsatile motion of artery walls~--- perivascular pumping. However, fluid dynamics theory and simulation have predicted that perivascular pumping produces flows differing from in vivo observations starkly, particularly in the phase and relative amplitude of flow oscillation. Here we show that coupling theoretical and simulated flows to realistic end boundary conditions, using resistance and compliance values measured in mice, results in velocities that match observations closely in phase, relative amplitude of oscillation, and mean flow speed. This new, quantitative agreement among theory, simulation, and in vivo measurement further supports the idea that perivascular pumping is a primary CSF driver in physiological conditions. Copy rights belong to original authors. Visit the link for more info
Boundary conditions are the conditions that must be met in order for a decision to be considered successful. Peter Drucker - The Effective Executive Brought to you by FortyFour-Three. Your project done on time. Tools, services and resources for everyday people who are responsible for projects that will change the world. www.FortyFour-Three.com
Neil deGrasse Tyson and comic co-host Paul Mecurio answer a grab bag full of fan-submitted Cosmic Queries on the Big Bang, the boundaries of the universe, space tourism, Star Trek, dark matter, neutrinos, communicating with extraterrestrial life, and much more. Thanks to this week’s Patrons for supporting us: Valentín Elizalde, Tyler Ford, Ted Shevlin. NOTE: StarTalk+ Patrons and All-Access subscribers can watch or listen to this entire episode commercial-free here: https://www.startalkradio.net/show/cosmic-curiosities-with-paul-mecurio/ Photo Credit: V. Springel, Max Planck Institut für Astrophysik, Garching bei München.
How are we conditioned to respond which holds us back from setting boundaries. AND - can you tell when you've set a boundary only to find it was a fortress of protection instead?
A Taste - "Boy, I thought things were bad in the 90s when I ran away to France." We have for your listening pleasure Episode 311 of "Troubadours and Raconteurs with E.W. Conundrum Demure." Episode 311 features a fun conversation with Artist, Global Hobo and our Resident Cultural Critic- JQ. JQ and I discuss Life in the South of France, Measures of Austerity, John C. Calhoun's Norway Rats, Behavioral Sink, the Beautiful Ones, the Creative Class, Worldwide Urbanization, Europe from Space, Happy Endings, God, Faith, Childish Optimism, the Hard Problem of Consciousness, Happy Endings, the Soul, Knowing When Justice Has Occurred, Success... Episode 311 also includes an EW Essay titled "Cocoon." We share a piece by Franz Kafka titled "The Wall" and an excerpt from an essay titled "Boundary Conditions" by Francisco Cantu'. We have an Ew poem called "Success." Our music this go round is provided by these wonderful artists: Django Reinhardt, Stephan Grapelli, Lily Allen & Mick Jones, Nirvana, Fran Ray & JQ, Mickey Leigh, Susto, Branford Marsalis and Terrence Blanchard. Commercial Free, Small Batch Radio Crafted In the Endless Mountains of Pennsylvania... Heard All Over The World. Tell your Friends and Neighbors...
Today we are joined by Dr Rebecca Jones from the University of Reading. Rebecca is the author of 'Boundary conditions of workplace coaching outcomes'. Join us to discover more about the the role of coaching in the workplace. What is O*NET? What is blended coaching and how has this changed the coaching industry? In this episode, Rebecca answers all of these questions and more.We will also gain further insights into 'Boundary conditions of workplace coaching outcomes', its impacts and the motivation behind Rebecca's work.In today's episode, we discuss:Rebecca describes her professional and academic background. [01:15]We are guided through 'Boundary conditions of workplace coaching outcomes'. [03:15]What is O*NET? [07:57]How could the study of different working cultures alter the findings from this paper? [15:49]Rebecca talks us through the potential impacts of this piece. [22:13]Finally, Rebecca gives us her one piece of advice for anyone undertaking a PhD. [32:10]Read the article here!You can follow Rebecca on Twitter here and listen to her podcast in this link; https://apple.co/2GqgXk1This podcast is brought to you by RESEARCHER, the free app that makes it easy for academics and scientists to stay on top of new research in their area. Download it for free on iOS, Android or find us on your browser at www.researcher-app.com See acast.com/privacy for privacy and opt-out information.
In this episode, I discuss one of my own studies that explores the conditions under which coaching is most impactful. In this episode I summarise the key findings which includes a comparison of external and internal coaches, the format of coach and the role of coachee job complexity and translate how you can utilise the findings from this study into practice. The study I am discussing in this episode is Jones, R. J., Woods, S. A., & Zhou, Y. (2018). Boundary conditions of workplace coaching outcomes. Journal of Managerial Psychology, 33(7/8), 475-496. You can access the original article here: https://www.emeraldinsight.com/doi/abs/10.1108/JMP-11-2017-0390 If you enjoy the show then don't forget to subscribe and please leave a rating. Also tell your friends - the best publicity is word of mouth. You can tell the world you have listened to The Coaching Academic podcast via Twitter here: http://www.rebeccajjones.co.uk/coaching_academic/share
Gene Day & Melissa Vaught are partners in running & life. They have a blog called Boundary Conditions where they review trails and races. They create amazing synergy as they work on their running goals together, the next challenge being their first even 50k trail race. Click here for their blog Click here for their twitter Click here for their IG If you would like to visit our website go to www.everydayrunninglegends.com If you would like to follow us on twitter go to https://twitter.com/ERLpodcast To follow us on insta go to https://www.instagram.com/erlpodcast/ We also have our own facebook group to interact with past guests and input for future episode. Click on https://www.facebook.com/groups/247962752500993/
Special Podcast Episode 10 “The Electric Utility Industry’s Golden Age of Innovation: Now” Innovation Interviews with Eight CEOs After a bit of a hiatus, we are back. I can assure we have been busy on your behalf in the interim. We are delighted to announce that we formed two companies under Leadership Lyceum’s brand: Lyceum Leadership Consulting which provides executive and board of director’s search, board effectiveness review, and an array of services for successor development and board-readiness. And Lyceum Leadership Productions which brings you this podcast. We will be expanding the programming of the episodes this summer so please subscribe through iTunes and give us feedback. Tell us about leadership situations that you are interested in us exploring. Please visit our website www.LeadershipLyceum.com for all of our archived media and offerings. Welcome to this Special Episode of the Leadership Lyceum: A CEO’s Virtual Mentor focused on innovation in an industry that many of us take for granted. We take an in-depth look at innovation in the electric utility industry. It’s the Leadership Lyceum’s opening act to Edison Electric Institute’s annual industry convention that starts this weekend, June 11th in Boston. In this Episode, we take a look back at last year’s convention in Chicago, where we conducted 10 interviews that included 8 CEOs from the electric industry covering all points along the electricity value chain from generation to transmission to distribution to the customer meter and beyond. We also have the perspective of a President of a venture capital-backed, technology provider to the industry; as well as the critical viewpoints of the regulator -- with the President of the National Association of Regulatory Utility Commissioners (or NARUC). By way of context for our broad listenership, Edison Electric Institute (or EEI), is the association that represents all U.S. investor-owned electric companies. EEI provides public policy leadership, strategic business intelligence, and essential conferences and forums for the industry. As a bit of an appeal to our broad listenership --- why should you care about this industry? Well its impact and influence is far-reaching and profound. The member companies of EEI provide electricity for 220 million Americans, operate in all 50 states and the District of Columbia --- and directly and indirectly employ more than one million workers. Our esteemed guests are all listed on the back of the album cover and on our website with links to their bios. As a reminder, we conducted these interviews in June of 2016. Our guests are as follows: Nick Akins, CEO of AEP in Columbus, OH; at the time, the outgoing Chairman of EEI. https://www.aep.com/about/leadership/profile.aspx?id=Akins Tom Fanning, CEO of Southern Company in Atlanta; at the time, the incoming Chairman of EEI. http://www.southerncompany.com/about-us/leadership/ceo.html Warner Baxter, CEO of Ameren Corporation in St Louis. https://www.ameren.com/about/warner-baxter Pedro Pizarro, CEO of Edison International; at the time, the President of Edison subsidiary Southern California Edison. https://www.edison.com/home/investors/corporate-governance/meet-our-board-of-directors/pedro-j-pizarro.html Jim Piro, CEO of Portland General Electric in Portland, OR http://investors.portlandgeneral.com/management.cfm Ralph Izzo, CEO of PSEG, in Newark, NJ; https://www.pseg.com/family/leadership/ceo.jsp Steve Berberich, CEO of California ISO; the ISO is one of the world’s largest transmission organizations, managing the electric grid and wholesale power markets for 30 million Californians. https://www.caiso.com/about/Pages/OurLeadership/StephenBerberich.aspx Tony Earley, Executive Chair of the Board of PG&E Corporation in San Francisco; at the time, was Chairman, CEO and President of PG&E http://www.pgecorp.com/aboutus/our_team/TEarley.shtml Alex Laskey, Co-Founder and President of Opower; Alex sold his company to Oracle while we were at the convention in June 2016 https://www.ted.com/speakers/alex_laskey Travis Kavulla, Commissioner, Montana Public Service Commission; and at the time, was serving a term as President of National Association of Regulatory Utility Commissioners (or NARUC) http://psc.mt.gov/commissioners/District1/ Just prior to our interviews last year, Neil Irwin, senior economics correspondent for The New York Times (https://www.nytimes.com/by/neil-irwin) gave us inspiration in his walk down the memory lane of innovation in his May 15, 2016 “The Upshot” column titled “Tracking Down the Golden Age of Innovation”. https://www.nytimes.com/2016/05/15/upshot/what-was-the-greatest-era-for-american-innovation-a-brief-guided-tour.html?smprod=nytcore-iphone&smid=nytcore-iphone-share Twitter: https://twitter.com/Neil_Irwin He posited in that article that a better way to understand the significance of technological change may be to come as close as we can to actually walking through those time periods, from the end of the Civil War to present, and understand the way we lived, ate, traveled and clothed and entertained ourselves. Through our conversation with these industry leaders, we will attempt to walk you through our current age of innovation in the electric power industry. Segment 1: Opening Statements – The Structure of the Industry. Travis Kavulla, President of NARUC and Commissioner of the Montana PSC. Steve Berberich, CEO of California ISO, managing the transmission grid across the state of California. Tony Earley, CEO of PG&E in San Francisco. Ralph Izzo, CEO of PSEG in Newark. Nick Akins, CEO of AEP in Columbus Steve Berberich, CEO of California ISO Segment 2: Interoperability, Data, and the Customer Steve Berberich, CEO of California ISO He expounds on the subject of interoperability of complex components of the electricity value chain. Nick Akins, CEO of AEP in Columbus Nick transitions into how technology has enabled customer relationships. Advanced Metering triggered proximity to the customer. Tony Earley, CEO of PG&E in San Francisco. Alex Laskey, President of Opower Pedro Pizarro, CEO of Edison International Segment 3: Boundary Conditions and how utilities are defining the boundaries of their service. Warner Baxter, CEO of Ameren in St Louis Pedro Pizarro, CEO of Edison International Steve Berberich, CEO of California ISO Travis Kavulla, President of NARUC and Commissioner of the Montana PSC. Nick Akins, CEO of AEP in Columbus Ralph Izzo, CEO of PSEG in Newark. Tom Fanning, CEO of Southern Company in Atlanta Tony Earley, CEO of PG&E in San Francisco. Segment 4: Collaboration with Disruptors and how utilities are partnering with the technologists on innovation and solutions. Warner Baxter, CEO of Ameren in St Louis Jim Piro, CEO of Portland General Electric Segment 5: Regulatory Barriers and Enablers to innovation. Travis Kavulla, President of NARUC and Commissioner of the Montana PSC. Pedro Pizarro, CEO of Edison International Alex Laskey, President of Opower Segment 6: Are We Pushing Hard Enough to Innovate? Travis Kavulla, President of NARUC and Commissioner of the Montana PSC. Nick Akins, CEO of AEP in Columbus Jim Piro, CEO of Portland General Electric Tom Fanning, CEO of Southern Company in Atlanta Segment 7: Parting Thoughts and Advice to Stakeholders. It’s fitting that our three guests with the parting words are those who have transitioned since my interview with them last year. One through sale of company, one through executive retirement, and the other through expiration of term of service. Tony Earley, CEO of PG&E in San Francisco - who has now turned the leadership of PG&E over to his successor Geisha Williams. Alex Laskey, President of Opower Travis Kavulla, President of NARUC and Commissioner of the Montana PSC in the anchor position with advice on the posture and approach of stakeholders to foster innovation from the regulatory point of view. Our Parting Thoughts I can’t think of a more fitting way to close this retrospective than drawing from the opening of Neil Irwin’s NYT article that I mentioned at the outset of this episode. Are you a skeptical economist who believes that we’re in a depressing era in which innovation has slowed and living standards are barely rising? Or are you a techno-optimist who believes that that our era, in which digital technology is transforming the underpinnings of human existence, is the golden age of innovation? Thanks for joining us. We can’t improve without your feedback – write us through our website www.LeadershipLyceum.com and subscribe on iTunes. See you next time. Informative and Helpful Links Edison Electric Institute (EEI): http://www.eei.org/ Ameren Corporation: https://www.ameren.com/ American Electric Power: https://www.aep.com/ California ISO: http://www.caiso.com/ Edison International: http://www.edison.com/ Pacific Gas & Electric: https://www.pge.com/ Portland General Electric: https://www.portlandgeneral.com/ Public Service Enterprise Group: https://www.pseg.com/ Southern Company: http://www.southerncompany.com/ Oracle and Opower: https://www.oracle.com/corporate/acquisitions/opower/index.html Montana PSC: http://psc.mt.gov/ National Association of Regulatory Utility Commissioners (NARUC): https://www.naruc.org/ New York Times: https://www.nytimes.com/by/neil-irwin Program Guide: Special Episode 10 “The Electric Utility Industry’s Golden Age of Innovation: Now” Innovation Interviews with Eight CEOs 0:30 Introduction to the Lyceum Leadership Consulting and Lyceum Leadership Productions 1:15 Introduction to “Innovation in the Electric Industry” through 10 interviews including 8 CEOs 4:05 Segment 1: Opening Statements – The Structure of the Industry 11:43 Break 1 11:57 Segment 2: Interoperability, Data, and the Customer 26:02 Break 2 26:24 Segment 3: Boundary Conditions - how utilities are defining the boundaries of their service. 36:50 Break 3 37:03 Segment 4: Collaboration with Disruptors 39:32 Break 4 39:49 Segment 5: Regulatory Barriers and Enablers 45:16 Break 5 45:31 Segment 6: Are We Pushing Hard Enough to Innovate? 51:12 Break 6 51:34 Segment 7: Parting Thoughts and Advice to Stakeholders 57:04 Lyceum’s Parting Thoughts 57:37 End of Episode Subscribe to the Podcast at: iTunes or SoundCloud Follow Leadership Lyceum on: www.LeadershipLyceum.com LinkedIn Twitter Instagram Facebook Email us: info@LeadershipLyceum.com Please subscribe to the Leadership Lyceum at iTunes which will enable future content to come to you automatically. Rate us and spread the word among your fellow executives and board colleagues. Your host Thomas B. Linquist is the Founder and Managing Partner of Lyceum Leadership Consulting and Lyceum Leadership Productions. Over his 15 years in management and leadership consulting he has served a wide array of industrial clients. This includes leadership assessment and search for chief executive officers, chief financial officers, chief operating officers and boards of directors. He holds an MBA from the University of Chicago and over his 25-year career has served in a variety of roles: as an engineer with Shell Oil Company, a banker with ABN AMRO Bank, and as treasurer was the youngest corporate officer in the 150+ year history at Peoples Energy Company in Chicago. He is an expert on hiring and promotion decisions and leadership development. Over the course of his search career, he has interviewed thousands of leaders. Please subscribe to the Leadership Lyceum in the podcast section at iTunes which will enable future content to come to you automatically. Rate us and spread the word among your fellow executives and board colleagues. Copyright 2017 by The Leadership Lyceum LLC
Laplace transform is used to solve a second example of a 2nd order, constant coefficient ODE with boundary conditions.
Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler
A second order equation can change from two initial conditions to boundary conditions at two points.
Medizinische Fakultät - Digitale Hochschulschriften der LMU - Teil 17/19
Wed, 17 Dec 2014 12:00:00 +0100 https://edoc.ub.uni-muenchen.de/19023/ https://edoc.ub.uni-muenchen.de/19023/1/Kaisarly_Dalia.pdf Kaisarly, Dalia Adel Mahmoud
Henrot, A (Université de Lorraine) Thursday 13 March 2014, 15:15-16:15
Laplace transforms are used to solve a pair of linear, 1st order ODE's with boundary conditions. Cramer's rule is used along the way.
Bandle, C (Universität Basel) Wednesday 05 March 2014, 14:00-15:00
Warnick, C (Pacific Institute for the Mathematical Sciences) Tuesday 08 October 2013, 10:30-11:30
Aeppli, G (University College London) Monday 16 September 2013, 16:15-17:00
We solve a 2nd order, constant coefficient, non-homogeneous ODE with boundary conditions at t = 0 for y and y'.
[Audio] Nanoelectronic Modeling: From Quantum Mechanics and Atoms to Realistic Devices
One of the key insights gained during the NEMO1D project was the development of new boundary conditions that enabled the modeling of realistically extended Resonant Tunneling Diodes (RTDs). The new boundary conditions are based on the partitioning of the device into emitter and collector reservoirs which are assumed to be in local equilibrium with a local quasi Fermi level and a central non-equilibrium region. In the reservoirs the electrostatic potential generally varies spatially due to non-uniform doping and possibly heterostructures. The introduction of an empirical scattering relaxation rate in the reservoirs enabled the modeling of phase-breaking and relaxation in the equilibrium reservoirs and the elimination of un-realistically narrow resonance states. With these new boundary conditions one can reduce dramatically the spatial region in which the non-equilibrium problem is being computed. This allowed for the efficient simulation of scattering effects inside the central RTD under non-equilibrium conditions at low temperature, and avoided the need to compute explicitly the computation of the equilibrating scattering in the high electron density contacts.The presentation closes with the challenge that the boundary conditions alone are not sufficient to completely explain the valley current of resonant tunneling diodes. It leads into the discussion of incoherent scattering inside the central RTD for the next lecture.Learning Objectives:Comprehension of the major concept of device partition into reservoirs and central non-equilibrium regionConprehension of the associated reduction in computational cost due to device partitioningComprehension of the physical effects of relaxation in the reservoirs and the broadening of the resonance states
[Audio] Nanoelectronic Modeling: From Quantum Mechanics and Atoms to Realistic Devices
One of the key insights gained during the NEMO1D project was the development of new boundary conditions that enabled the modeling of realistically extended Resonant Tunneling Diodes (RTDs). The new boundary conditions are based on the partitioning of the device into emitter and collector reservoirs which are assumed to be in local equilibrium with a local quasi Fermi level and a central non-equilibrium region. In the reservoirs the electrostatic potential generally varies spatially due to non-uniform doping and possibly heterostructures. The introduction of an empirical scattering relaxation rate in the reservoirs enabled the modeling of phase-breaking and relaxation in the equilibrium reservoirs and the elimination of un-realistically narrow resonance states. With these new boundary conditions one can reduce dramatically the spatial region in which the non-equilibrium problem is being computed. This allowed for the efficient simulation of scattering effects inside the central RTD under non-equilibrium conditions at low temperature, and avoided the need to compute explicitly the computation of the equilibrating scattering in the high electron density contacts.The presentation closes with the challenge that the boundary conditions alone are not sufficient to completely explain the valley current of resonant tunneling diodes. It leads into the discussion of incoherent scattering inside the central RTD for the next lecture.Learning Objectives:Comprehension of the major concept of device partition into reservoirs and central non-equilibrium regionConprehension of the associated reduction in computational cost due to device partitioningComprehension of the physical effects of relaxation in the reservoirs and the broadening of the resonance states
The third step is to consider the wheel hub's boundary conditions and how these interact with the external stresses on the wheel hub.
The engine and the other components attached to the tub set relatively straightforward boundary conditions.
Transcript -- The engine and the other components attached to the tub set relatively straightforward boundary conditions.
Transcript -- The third step is to consider the wheel hub's boundary conditions and how these interact with the external stresses on the wheel hub.
The engine and the other components attached to the tub set relatively straightforward boundary conditions.
Transcript -- The third step is to consider the wheel hub's boundary conditions and how these interact with the external stresses on the wheel hub.
The third step is to consider the wheel hub's boundary conditions and how these interact with the external stresses on the wheel hub.
Transcript -- The engine and the other components attached to the tub set relatively straightforward boundary conditions.
Bolte, J (Ulm) Monday 02 April 2007, 10:00-11:00 Quantum Graphs, their Spectra and Applications
Razumov, A, Stroganov, Y (Institute for High Energy Physics) Tuesday 22 April 2008, 09:00-10:00 Statistical-Mechanics and Quantum-Field Theory Methods in Combinatorial Enumeration
As a model for multiscale systems under random influences on physical boundary, a stochastic partial differential equation under a fast random dynamical boundary condition is investigated. An effective equation is derived and justified by reducing the random dynamical boundary condition to a usual random boundary condition. The effective system is still a stochastic partial differential equation, but is more tractable. Furthermore, the quantitative comparison between the solution of the original stochastic system and the effective solution is provided by estimating deviations. Jinqiao DUAN. Illinois Institute of Technology. Document associé : support de présentation : http://epi.univ-paris1.fr/servlet/com.univ.collaboratif.utils.LectureFichiergw?CODE_FICHIER=1182790011791 (pdf) Bande son disponible au format mp3 Durée : 42 mn