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Time-reparametrization invariances, multithermalization and the Parisi scheme

by Jorge Kurchan

Submission summary

As Contributors: Jorge Kurchan
Arxiv Link: https://arxiv.org/abs/2101.12702v4 (pdf)
Date accepted: 2022-10-04
Date submitted: 2022-09-07 11:02
Submitted by: Kurchan, Jorge
Submitted to: SciPost Physics
Academic field: Physics
Specialties:
  • Statistical and Soft Matter Physics
Approach: Theoretical

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.

Current status:
Publication decision taken: accept

Editorial decision: For Journal SciPost Physics Core: Publish
(status: Editorial decision fixed and (if required) accepted by authors)



List of changes

All typos corrected. Clarifications requested added.

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