Seminar: Large Deviations
News
Dates
Introduction of topics 
Thu 20171026, 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 
20171026 
Introduction 

20180111 
Microscopic Descriptions: Hamiltonian Systems 
R. Kornhuber 
20180118 
Macroscopic Descriptions: Thermodynamics 
C. Gräser 
20180125 
Macroscopic Quantities by Averaging I: Abstract Framework 
S. Saydan 
20180201 
Macroscopic Quantities by Averaging II: Canonical Ensemble 
Wang Y. 
20180208 
Calculation of Free Energies I: Overview 
Ding Y. 
20180215 
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. 169, 2009. arXiv:0804.0327
 Mark E. Tuckerman: Statistical Mechanics: Theory and Molecular Simulation. Oxford University Press, 2010.