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Time-reparametrization invariances, multithermalization and the Parisi scheme
by Jorge Kurchan
Submission summary
| Authors (as registered SciPost users): | Jorge Kurchan |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2101.12702v4 (pdf) |
| Date accepted: | Oct. 4, 2022 |
| Date submitted: | Sept. 7, 2022, 11:02 a.m. |
| Submitted by: | Jorge Kurchan |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| 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.
List of changes
Current status:
Editorial decision:
For Journal SciPost Physics Core: Publish
(status: Editorial decision fixed and (if required) accepted by authors)