Helffer-Sjostrand representation for conservative dynamics
T. Bodineau, B. Graham
TL;DR
This paper explores a mathematical representation to analyze how correlations in certain physical systems decay over time under specific conservative dynamics, providing insights into relaxation processes.
Contribution
It introduces a Helffer-Sjostrand representation tailored for conservative Ginzburg-Landau dynamics in Gibbs measures with convex interactions.
Findings
Derived bounds on relaxation rates to equilibrium.
Established a new analytical framework for correlation decay.
Provided mathematical tools for studying conservative stochastic systems.
Abstract
We consider a Helffer-Sjostrand representation for the correlations in canonical Gibbs measures with convex interactions under conservative Ginzburg-Landau dynamics. We investigate the rate of relaxation to equilibrium.
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Taxonomy
TopicsQuantum chaos and dynamical systems · Model Reduction and Neural Networks