Coarsening Dynamics in a Simplified DNLS Model

Stefano Iubini*, Antonio Politi, Paolo Politi

*Corresponding author for this work

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

We investigate the coarsening evolution occurring in a simplified stochastic model of the Discrete NonLinear Schrödinger (DNLS) equation in the so-called negative-temperature region. We provide an explanation of the coarsening exponent n=1/3, by invoking an analogy with a suitable exclusion process. In spite of the equivalence with the exponent observed in other known universality classes, this model is certainly different, in that it refers to a dynamics with two conservation laws.

Original languageEnglish
Pages (from-to)1057-1073
Number of pages17
JournalJournal of Statistical Physics
Volume154
Issue number4
Early online date11 Dec 2013
DOIs
Publication statusPublished - Feb 2014

Fingerprint

Coarsening
Discrete Model
Nonlinear Model
Exponent
exponents
Exclusion Process
Discrete Equations
conservation laws
exclusion
Conservation Laws
Universality
nonlinear equations
Stochastic Model
equivalence
Analogy
Nonlinear Equations
Equivalence
temperature
Model
Class

Keywords

  • Breathers
  • Coarsening
  • Exclusion processes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Coarsening Dynamics in a Simplified DNLS Model. / Iubini, Stefano; Politi, Antonio; Politi, Paolo.

In: Journal of Statistical Physics, Vol. 154, No. 4, 02.2014, p. 1057-1073.

Research output: Contribution to journalArticle

Iubini, Stefano ; Politi, Antonio ; Politi, Paolo. / Coarsening Dynamics in a Simplified DNLS Model. In: Journal of Statistical Physics. 2014 ; Vol. 154, No. 4. pp. 1057-1073.
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