Stationarization and Multithermalization in spin glasses

Contucci, Pierluigi; Corberi, Federico; Kurchan, Jorge; Mingione, Emanuele

doi:10.21468/SciPostPhys.10.5.113

SciPost Physics

Stationarization and Multithermalization in spin glasses

Pierluigi Contucci, Federico Corberi, Jorge Kurchan, Emanuele Mingione

SciPost Phys. 10, 113 (2021) · published 26 May 2021

doi: 10.21468/SciPostPhys.10.5.113
pdf
Submissions/Reports

Abstract

We develop further the study of a system in contact with a multibath having different temperatures at widely separated timescales. We consider those systems that do not thermalize in finite times when in contact with an ordinary bath but may do so in contact with a multibath. Thermodynamic integration is possible, thus allowing one to recover the stationary distribution on the basis of measurements performed in a `multi-reversible' transformation. We show that following such a protocol the system is at each step described by a generalization of the Boltzmann-Gibbs distribution, that has been studied in the past. Guerra's bound interpolation scheme for spin-glasses is closely related to this: by translating it into a dynamical setting, we show how it may actually be implemented in practice. The phase diagram plane of temperature vs "number of replicas", long studied in spin-glasses, in our approach becomes simply that of the two temperatures the system is in contact with. We suggest that this representation may be used to directly compare phenomenological and mean-field inspired models.Finally, we show how an approximate out of equilibrium probability distribution may be inferred experimentally on the basis of measurements along an almost reversible transformation.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.10.5.113
TI  - Stationarization and Multithermalization in spin glasses
PY  - 2021/05/26
UR  - https://www.scipost.org/SciPostPhys.10.5.113
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 10
IS  - 5
SP  - 113
A1  - Contucci, Pierluigi
AU  - Corberi, Federico
AU  - Kurchan, Jorge
AU  - Mingione, Emanuele
AB  - We develop further the study of a system in contact with a multibath having different temperatures at widely separated timescales. We consider those systems that do not thermalize in finite times when in contact with an ordinary bath but may do so in contact with a multibath. Thermodynamic integration is possible, thus allowing one to recover the stationary distribution on the basis of measurements performed in a `multi-reversible' transformation. We show that following such a protocol the system is at each step described by a generalization of the Boltzmann-Gibbs distribution, that has been studied in the past. Guerra's bound interpolation scheme for spin-glasses is closely related to this: by translating it into a dynamical setting, we show how it may actually be implemented in practice. The phase diagram plane of temperature vs "number of replicas", long studied in spin-glasses, in our approach becomes simply that of the two temperatures the system is in contact with. We suggest that this representation may be used to directly compare phenomenological and mean-field inspired models.Finally, we show how an approximate out of equilibrium probability distribution may be inferred experimentally on the basis of measurements along an almost reversible transformation.
ER  -

@Article{10.21468/SciPostPhys.10.5.113,
	title={{Stationarization and Multithermalization in spin glasses}},
	author={Pierluigi Contucci and Federico Corberi and Jorge Kurchan and Emanuele Mingione},
	journal={SciPost Phys.},
	volume={10},
	pages={113},
	year={2021},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.10.5.113},
	url={https://scipost.org/10.21468/SciPostPhys.10.5.113},
}

Cited by 5

Authors / Affiliations: mappings to Contributors and Organizations

See all Organizations.

Funder for the research work leading to this publication

Simons Foundation