Surprises from quenches in long-range-interacting systems: temperature inversion and cooling

What happens when one of the parameters governing the dynamics of a long-range interacting system of particles in thermal equilibrium is abruptly changed (quenched) to a different value? While a short-range system, under the same conditions, will relax in time to a new thermal equilibrium with a uni...

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Main Authors: Shamik Gupta, Lapo Casetti
Format: Article
Language:English
Published: IOP Publishing 2016-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/18/10/103051
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author Shamik Gupta
Lapo Casetti
author_facet Shamik Gupta
Lapo Casetti
author_sort Shamik Gupta
collection DOAJ
description What happens when one of the parameters governing the dynamics of a long-range interacting system of particles in thermal equilibrium is abruptly changed (quenched) to a different value? While a short-range system, under the same conditions, will relax in time to a new thermal equilibrium with a uniform temperature across the system, a long-range system shows a fast relaxation to a non-equilibrium quasistationary state (QSS). The lifetime of such an off-equilibrium state diverges with the system size, and the temperature is non-uniform across the system. Quite surprisingly, the density profile in the QSS obtained after the quench is anticorrelated with the temperature profile in space, thus exhibiting the phenomenon of temperature inversion : denser regions are colder than sparser ones. We illustrate with extensive molecular dynamics simulations the ubiquity of this scenario in a prototypical long-range interacting system subject to a variety of quenching protocols, and in a model that mimics an experimental setup of atoms interacting with light in an optical cavity. We further demonstrate how a procedure of iterative quenching combined with filtering out the high-energy particles in the system may be employed to cool the system. Temperature inversion is observed in nature in some astrophysical settings; our results imply that such a phenomenon should be observable, and could even be exploitable to advantage, also in controlled laboratory experiments.
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spelling doaj.art-6fc5b7e8b92f443fa76b9846888468562023-08-08T14:22:29ZengIOP PublishingNew Journal of Physics1367-26302016-01-01181010305110.1088/1367-2630/18/10/103051Surprises from quenches in long-range-interacting systems: temperature inversion and coolingShamik Gupta0Lapo Casetti1Max-Planck-Institut für Physik Komplexer Systeme, Nöthnitzer Straße 38, D-01187 Dresden, GermanyDipartimento di Fisica e Astronomia and CSDC, Università di Firenze, and INFN , sezione di Firenze, via G. Sansone 1, I-50019 Sesto Fiorentino, Italy; INAF-Osservatorio Astrofisico di Arcetri, Largo E. Fermi 5, I-50125 Firenze, ItalyWhat happens when one of the parameters governing the dynamics of a long-range interacting system of particles in thermal equilibrium is abruptly changed (quenched) to a different value? While a short-range system, under the same conditions, will relax in time to a new thermal equilibrium with a uniform temperature across the system, a long-range system shows a fast relaxation to a non-equilibrium quasistationary state (QSS). The lifetime of such an off-equilibrium state diverges with the system size, and the temperature is non-uniform across the system. Quite surprisingly, the density profile in the QSS obtained after the quench is anticorrelated with the temperature profile in space, thus exhibiting the phenomenon of temperature inversion : denser regions are colder than sparser ones. We illustrate with extensive molecular dynamics simulations the ubiquity of this scenario in a prototypical long-range interacting system subject to a variety of quenching protocols, and in a model that mimics an experimental setup of atoms interacting with light in an optical cavity. We further demonstrate how a procedure of iterative quenching combined with filtering out the high-energy particles in the system may be employed to cool the system. Temperature inversion is observed in nature in some astrophysical settings; our results imply that such a phenomenon should be observable, and could even be exploitable to advantage, also in controlled laboratory experiments.https://doi.org/10.1088/1367-2630/18/10/103051long-range interactionsquenchingVlasov equationquasi-stationary statestemperature inversion05.70.Ln
spellingShingle Shamik Gupta
Lapo Casetti
Surprises from quenches in long-range-interacting systems: temperature inversion and cooling
New Journal of Physics
long-range interactions
quenching
Vlasov equation
quasi-stationary states
temperature inversion
05.70.Ln
title Surprises from quenches in long-range-interacting systems: temperature inversion and cooling
title_full Surprises from quenches in long-range-interacting systems: temperature inversion and cooling
title_fullStr Surprises from quenches in long-range-interacting systems: temperature inversion and cooling
title_full_unstemmed Surprises from quenches in long-range-interacting systems: temperature inversion and cooling
title_short Surprises from quenches in long-range-interacting systems: temperature inversion and cooling
title_sort surprises from quenches in long range interacting systems temperature inversion and cooling
topic long-range interactions
quenching
Vlasov equation
quasi-stationary states
temperature inversion
05.70.Ln
url https://doi.org/10.1088/1367-2630/18/10/103051
work_keys_str_mv AT shamikgupta surprisesfromquenchesinlongrangeinteractingsystemstemperatureinversionandcooling
AT lapocasetti surprisesfromquenchesinlongrangeinteractingsystemstemperatureinversionandcooling