Time-reparametrization invariances, multithermalization and the Parisi scheme
Statistical Mechanics
2022-09-23 v5 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The Parisi scheme for equilibrium and the corresponding slow dynamics with multithermalization - same temperature common to all observables, different temperatures only possible at widely separated timescales -- imply one another. Consistency requires that two systems brought into infinitesimal coupling be able to rearrange their timescales in order that all their temperatures match: this time reorganisation is only possible because the systems have a set of time-reparametrization invariances, that are thus seen to be an essential component of the scenario.
Cite
@article{arxiv.2101.12702,
title = {Time-reparametrization invariances, multithermalization and the Parisi scheme},
author = {Jorge Kurchan},
journal= {arXiv preprint arXiv:2101.12702},
year = {2022}
}