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Time-reparametrization invariances, multithermalization and the Parisi scheme

Jorge Kurchan

SciPost Phys. Core 6, 001 (2023) · published 17 January 2023


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.

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