School and intensive course Constructions of nonequilibrium statistical mechanics

Constructions of nonequilibrium statistical mechanics

School supported the  ESF programme Random Geometry of Large Interacting
Systems and Statistical Physics
Intensive course of Christian Maes  supported by the EU project  Studia
Zamawiane

Wednesday, 14:15 - 15:45

Kazimierz Sobczyk (IPPT and MIMUW)

SYSTEMS WITH INCOMPLETE INFORMATION: INFERENCE VIA MAXIMUM ENTROPY METHOD

This lecture consists of two parts. The first one is concerned
with reconstruction of unknown probability distribution for the basic
characteristics of random polycrystalline microstructures. The method is
inspired by the Gibbsian ensemble method known in classical statistical
physics/mechanics. Among all possible distributions of microstructural
features we are looking for the distributions which are compatible  with
the available  macroscopic information. The method of maximum
informational entropy is used.

In the second part of the lecture it will be shown how the idea of maximum
entropy principle can be extended to stochastic dynamical systems
(described by stochastic differential equations). Assuming that the
available (incomplete) information about the system response is given by
equations for statistical moments the approximate probability density of
the solution is derived via maximization of  entropy. Specific examples
will be shown to illustrate the goodness of the method.

16:15 - 17:45

Christian Maes (K.U. Leuven)
Constructions of Non-Equilibrium Statistical Mechanics


Thursday, 14 April

14:00 - 14:35  Alberto Salazar Martínez (K.U. Leuven)
Fluctuation theorem for currents and the spinning Lorentz gas

14:40 - 15:15 Renato Soares dos Santos (Leiden University)
Mixing conditions for random walks in dynamic random environments

15:20 - 15:55  Florian Völlering (Leiden University)
Concentration inequalities for Markov processes

16:15 - 17:45 Christian Maes (K.U.Leuven)
Constructions of Non-Equilibrium Statistical Mechanics