Français
Classical and quantum particles coupled to a vibrational environment
Virtualconference
Authors : Goudon, Thierry (Author of the conference)
CIRM (Publisher )
35Q40 - PDEs in connection with quantum mechanics
35Q51 - Soliton-like equations
35Q55 - NLS-like equations (nonlinear Schrödinger)
Additional resources :
https://www.cirm-math.fr/RepOrga/2355/Slides/slide_Thierry_GOUDON.pdf
CIRM (Publisher )
Loading the player...
|
Abstract :
It is possible to model dissipation effects subjected by a particle by interactions between the particle and its environment. This seminal idea dates back to Caldeira-Leggett in the '80ies. The specific case of a particle interacting with vibrational degrees of freedom has been thoroughsly investigated by S. De Bièvre and his collaborators. We will go back to these issues in the framework of kinetic equations, and also consider quantum versions of the problem based on couplings with the Schrödinger equation. We are particularly interested in stability issues. We will describe ; through rigorous statements and numerical experiments, analogies and differences with the case of a single classical particle and with the standard coupling with the Poisson equation.
MSC Codes : 35Q40 - PDEs in connection with quantum mechanics
35Q51 - Soliton-like equations
35Q55 - NLS-like equations (nonlinear Schrödinger)
Additional resources :
https://www.cirm-math.fr/RepOrga/2355/Slides/slide_Thierry_GOUDON.pdf
|
Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 09/04/2021 Conference Date : 25/03/2021 Subseries : Research talks arXiv category : Analysis of PDEs ; Mathematical Physics Mathematical Area(s) : Analysis and its Applications ; Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 00:32:38 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2021-03-25_Goudon.mp4 
|
Information on the Event
Event Title : Jean Morlet Chair 2021- Conference: Kinetic Equations: From Modeling Computation to Analysis / Chaire Jean-Morlet 2021 - Conférence : Equations cinétiques : Modélisation, Simulation et AnalyseEvent Organizers : Bostan, Mihaï ; Jin, Shi ; Mehrenberger, Michel ; Montibeller, Celine Dates : 22/03/2021 - 26/03/2021 Event Year : 2021 Event URL : https://www.chairejeanmorlet.com/2355.html
Citation Data
DOI : 10.24350/CIRM.V.19734003Cite this video as: Goudon, Thierry (2021). Classical and quantum particles coupled to a vibrational environment. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19734003 URI : http://dx.doi.org/10.24350/CIRM.V.19734003 |
See Also
- [Virtualconference] Model predictive and random batch methods for a guiding problem / Author of the conference Zuazua, Enrique.
- [Virtualconference] A De Giorgi argument for $L^{\infty}$ solution to the Boltzmann equation without angular cutoff / Author of the conference Yang, Tong.
- [Virtualconference] An asymptotic preserving method for Levy Fokker Planck equation with fractional diffusion limit / Author of the conference Wang, Li.
- [Virtualconference] Bacterial movement by run and tumble: models, patterns, pathways, scales / Author of the conference Perthame, Benoît.
- [Virtualconference] Quantitative De Giorgi methods in kinetic theory / Author of the conference Mouhot, Clément.
- [Virtualconference] Stable and unstable steady states for the HMF model / Author of the conference Mehats, Florian.
- [Virtualconference] Highly-oscillatory evolution equations: averaging and numerics / Author of the conference Lemou, Mohammed.
- [Virtualconference] An inverse problem for a model of cell motion and chemotaxis / Author of the conference Klingenberg, Christian.
- [Virtualconference] Mean-field-type limits of interacting particle systems for multiple species / Author of the conference Juengel, Ansgar.
- [Virtualconference] Large stochastic systems of interacting particles / Author of the conference Jabin, Pierre-Emmanuel.
- [Virtualconference] A new stability and convergence proof of the Fourier-Galerkin spectral method for the spatially homogeneous Boltzmann equation / Author of the conference Hu, Jingwei.
- [Virtualconference] Stabilization of random kinetic equations / Author of the conference Herty, Michael.
- [Virtualconference] Partial regularity in time for the Landau equation with Coulomb interaction / Author of the conference Golse, François.
- [Virtualconference] Dynamical low-rank approximation for radiation transport / Author of the conference Frank, Martin.
- [Virtualconference] Large time asymptotics for evolution equations with mean field couplings / Author of the conference Dolbeault, Jean.
- [Virtualconference] Quasilinear approximation of Vlasov and Liouville equations / Author of the conference Bardos, Claude.
- [Virtualconference] Collective dynamics of quantized vortices in superfluidity and superconductivity / Author of the conference Bao, Weizhu.
- [Virtualconference] Modal based hypocoercivity methods on the torus and the real line with application to Goldstein-Taylor models / Author of the conference Arnold, Anton.
Bibliography
