Seminar: Large Deviations



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


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.


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


More literature on statistical mechanics will be provided soon.

  1. Stefan Adams et al.: Large deviations and gradient flows. Phil. Trans. R. Soc. A, 371 (2005), p. 20120341, 2013.
  2. Nicolas Dirr, Vaios Laschos, and Johannes Zimmer: Upscaling from particle models to entropic gradient flows. J. Math. Phys., 53 (6), p. 063704, 2012.
  3. Tony, Lelièvre, Mathias Rousset, and Gabriel Stoltz: Free Energy Computations: A Mathematical Perspective. Imperial College Press, World Scientific, 2010.
  4. Mark Peletier. Variational Modelling: Energies, gradient flows, and large deviations. Preprint, arXiv:1402.1990, 2014.
  5. Hugo Touchette. The large deviation approach to statistical mechanics. Physics Reports 478 (1), p. 1-69, 2009. arXiv:0804.0327
  6. Mark E. Tuckerman: Statistical Mechanics: Theory and Molecular Simulation. Oxford University Press, 2010.


Prof. Dr. Ralf Kornhuber kornhube{at}math.fu-berlin.des Arnimallee 6, Raum 130
Prof. Dr. Carsten Gräser Arnimallee 6, Room 121