Dynamical freezing of relaxation to equilibrium

Stefano Iubini, Liviu Florin Chirondojan, Gian-Luca Oppo, Antonio Politi, Paolo Politi

Research output: Contribution to journalLetter

1 Citation (Scopus)

Abstract

We provide evidence of an extremely slow thermalization occurring in the discrete nonlinear Schrödinger model. At variance with many similar processes encountered in statistical mechanics— typically ascribed to the presence of (free) energy barriers—here the slowness has a purely dynamical origin: it is due to the presence of an adiabatic invariant, which freezes the dynamics of a tall breather. Consequently, relaxation proceeds via rare events, where energy is suddenly released towards the background. We conjecture that this exponentially slow relaxation is a key ingredient contributing to the nonergodic behavior recently observed in the negative-temperature region of the discrete nonlinear Schrödinger equation.
LanguageEnglish
Article number084102
Number of pages6
JournalPhysical Review Letters
Volume122
Issue number8
DOIs
Publication statusPublished - 1 Mar 2019

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freezing
statistical mechanics
ingredients
nonlinear equations
free energy
temperature
energy

Keywords

  • thermalization
  • DNLS
  • energy
  • discrete nonlinear Schrödinger model

Cite this

Iubini, Stefano ; Chirondojan, Liviu Florin ; Oppo, Gian-Luca ; Politi, Antonio ; Politi, Paolo. / Dynamical freezing of relaxation to equilibrium. In: Physical Review Letters. 2019 ; Vol. 122, No. 8.
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abstract = "We provide evidence of an extremely slow thermalization occurring in the discrete nonlinear Schr{\"o}dinger model. At variance with many similar processes encountered in statistical mechanics— typically ascribed to the presence of (free) energy barriers—here the slowness has a purely dynamical origin: it is due to the presence of an adiabatic invariant, which freezes the dynamics of a tall breather. Consequently, relaxation proceeds via rare events, where energy is suddenly released towards the background. We conjecture that this exponentially slow relaxation is a key ingredient contributing to the nonergodic behavior recently observed in the negative-temperature region of the discrete nonlinear Schr{\"o}dinger equation.",
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Dynamical freezing of relaxation to equilibrium. / Iubini, Stefano; Chirondojan, Liviu Florin; Oppo, Gian-Luca; Politi, Antonio; Politi, Paolo.

In: Physical Review Letters, Vol. 122, No. 8, 084102, 01.03.2019.

Research output: Contribution to journalLetter

TY - JOUR

T1 - Dynamical freezing of relaxation to equilibrium

AU - Iubini, Stefano

AU - Chirondojan, Liviu Florin

AU - Oppo, Gian-Luca

AU - Politi, Antonio

AU - Politi, Paolo

PY - 2019/3/1

Y1 - 2019/3/1

N2 - We provide evidence of an extremely slow thermalization occurring in the discrete nonlinear Schrödinger model. At variance with many similar processes encountered in statistical mechanics— typically ascribed to the presence of (free) energy barriers—here the slowness has a purely dynamical origin: it is due to the presence of an adiabatic invariant, which freezes the dynamics of a tall breather. Consequently, relaxation proceeds via rare events, where energy is suddenly released towards the background. We conjecture that this exponentially slow relaxation is a key ingredient contributing to the nonergodic behavior recently observed in the negative-temperature region of the discrete nonlinear Schrödinger equation.

AB - We provide evidence of an extremely slow thermalization occurring in the discrete nonlinear Schrödinger model. At variance with many similar processes encountered in statistical mechanics— typically ascribed to the presence of (free) energy barriers—here the slowness has a purely dynamical origin: it is due to the presence of an adiabatic invariant, which freezes the dynamics of a tall breather. Consequently, relaxation proceeds via rare events, where energy is suddenly released towards the background. We conjecture that this exponentially slow relaxation is a key ingredient contributing to the nonergodic behavior recently observed in the negative-temperature region of the discrete nonlinear Schrödinger equation.

KW - thermalization

KW - DNLS

KW - energy

KW - discrete nonlinear Schrödinger model

UR - https://journals.aps.org/prl/

U2 - 10.1103/PhysRevLett.122.084102

DO - 10.1103/PhysRevLett.122.084102

M3 - Letter

VL - 122

JO - Physical Review Letters

T2 - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

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ER -