Seminar: Large Deviations
News
Dates
| Introduction of topics |
Thu 2017-10-26, 12:15 - 13:45 |
Arnimallee 6, SR 031 |
| Seminar talks |
Thu 12:15 - 13:45 |
Arnimallee 6, SR 031 |
Description
This seminar is intended to provide an introduction to mathematical modelling
concepts for diffusing particles. We will concentrate on a mathematical
understanding of basic notions of statistical mechanics, e.g., free energies,
in terms of gradient flows and large deviations.
If time permits, we will also consider particular applications like, e.g.,
continuous asymptotic limits of discrete particle systems.
Talks
| Date |
Title |
Speaker |
| 2017-10-26 |
Introduction |
|
| 2018-01-11 |
Microscopic Descriptions: Hamiltonian Systems |
R. Kornhuber |
| 2018-01-18 |
Macroscopic Descriptions: Thermodynamics |
C. Gräser |
| 2018-01-25 |
Macroscopic Quantities by Averaging I: Abstract Framework |
S. Saydan |
| 2018-02-01 |
Macroscopic Quantities by Averaging II: Canonical Ensemble |
Wang Y. |
| 2018-02-08 |
Calculation of Free Energies I: Overview |
Ding Y. |
| 2018-02-15 |
Calculation of Free Energies II: Langevin Dynamics |
tba |
Organizational Matters
- Each participant prepares a talk.
- In addition, every participant prepares a handout, preferably using LaTeX.
Literature
More literature on statistical mechanics will be provided soon.
- Stefan Adams et al.: Large deviations and gradient flows. Phil. Trans. R. Soc. A, 371 (2005), p. 20120341, 2013.
- Nicolas Dirr, Vaios Laschos, and Johannes Zimmer: Upscaling from particle models to entropic gradient flows. J. Math. Phys., 53 (6), p. 063704, 2012.
- Tony, Lelièvre, Mathias Rousset, and Gabriel Stoltz: Free Energy Computations: A Mathematical Perspective. Imperial College Press, World Scientific, 2010.
- Mark Peletier. Variational Modelling: Energies, gradient flows, and large deviations. Preprint, arXiv:1402.1990, 2014.
- Hugo Touchette. The large deviation approach to statistical mechanics. Physics Reports 478 (1), p. 1-69, 2009. arXiv:0804.0327
- Mark E. Tuckerman: Statistical Mechanics: Theory and Molecular Simulation. Oxford University Press, 2010.