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Time-reparametrization invariances, multithermalization and the Parisi\n scheme

2021/01/29 by Jorge Kurchan, Kurchan, Jorge
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2101.12702

openalex publication_date 2021/01/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Parisi scheme for equilibrium and the corresponding slow dynamics with\nmultithermalization - same temperature common to all observables, different\ntemperatures only possible at widely separated timescales -- imply one another.\nConsistency requires that two systems brought into infinitesimal coupling be\nable to rearrange their timescales in order that all their temperatures match:\nthis time reorganisation is only possible because the systems have a set of\ntime-reparametrization invariances, that are thus seen to be an essential\ncomponent of the scenario.\n

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