English

Coarsening dynamics in a simplified DNLS model

Statistical Mechanics 2014-04-24 v2

Abstract

We investigate the coarsening evolution occurring in a simplified stochastic model of the Discrete NonLinear Schr\"odinger (DNLS) equation in the so-called negative-temperature region. We provide an explanation of the coarsening exponent n=1/3n=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.

Keywords

Cite

@article{arxiv.1308.4870,
  title  = {Coarsening dynamics in a simplified DNLS model},
  author = {Stefano Iubini and Antonio Politi and Paolo Politi},
  journal= {arXiv preprint arXiv:1308.4870},
  year   = {2014}
}
R2 v1 2026-06-22T01:13:25.149Z