Dynamical freezing of relaxation to equilibrium

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

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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.
Original languageEnglish
Article number084102
Number of pages6
JournalPhysical Review Letters
Volume122
Issue number8
DOIs
Publication statusPublished - 1 Mar 2019

Keywords

  • thermalization
  • DNLS
  • energy
  • discrete nonlinear Schrödinger model

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    Iubini, S., Chirondojan, L. F., Oppo, G-L., Politi, A., & Politi, P. (2019). Dynamical freezing of relaxation to equilibrium. Physical Review Letters, 122(8), [084102]. https://doi.org/10.1103/PhysRevLett.122.084102