4 papers
Derivation of the Boltzmann equation from hard-sphere dynamics (after Y. Deng, Z. Hani, and X. Ma)
Thierry Bodineau, Isabelle Gallagher, Laure Saint-Raymond +1
Consider a microscopic system of hard spheres that are initially independent (modulo the exclusion condition on particle positions) and identically distributed in $\mathbb{R}^3…
A perturbative approach to the macroscopic fluctuation theory
Thierry Bodineau, Bernard Derrida
In this paper, we study the stationary states of diffusive dynamics driven out of equilibrium by reservoirs. For a small forcing, the system remains close to equilibrium and the la…
Large deviations for out of equilibrium correlations in the symmetric simple exclusion process
Thierry Bodineau, Benoit Dagallier
For finite size Markov chains, the Donsker-Varadhan theory fully describes the large deviations of the time averaged empirical measure. We are interested in the extension of the Do…
Stochastic dynamics and the Polchinski equation: an introduction
Roland Bauerschmidt, Thierry Bodineau, Benoit Dagallier
This introduction surveys a renormalisation group perspective on log-Sobolev inequalities and related properties of stochastic dynamics. We also explain the relationship of this ap…