Diffusive scaling in energy ginzburg-Landau dynamics
Statistical Mechanics
2015-09-22 v1 Mathematical Physics
math.MP
Probability
Abstract
Ginzburg-Landau energy models arise as autonomous sto-chastic dynamics for the energies in coupled systems after a weak coupling limit (cf. [3, 6]). We prove here that, under certain conditions, the energy fluctuations of these stochastic dynamics are driven by the heat equation, under a diffusive space time scaling.
Keywords
Cite
@article{arxiv.1509.06116,
title = {Diffusive scaling in energy ginzburg-Landau dynamics},
author = {Carlangelo Liverani and Stefano Olla and Makiko Sasada},
journal= {arXiv preprint arXiv:1509.06116},
year = {2015}
}
Comments
Preliminary Draft