Coarsening Dynamics in a Simplified DNLS Model

Stefano Iubini; Antonio Politi; Paolo Politi

doi:10.1007/s10955-013-0896-4

Coarsening Dynamics in a Simplified DNLS Model

Stefano Iubini^*, Antonio Politi, Paolo Politi

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

21 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 language	English
Pages (from-to)	1057-1073
Number of pages	17
Journal	Journal of Statistical Physics
Volume	154
Issue number	4
Early online date	11 Dec 2013
DOIs	https://doi.org/10.1007/s10955-013-0896-4
Publication status	Published - Feb 2014

Keywords

Breathers
Coarsening
Exclusion processes

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abstract = "We investigate the coarsening evolution occurring in a simplified stochastic model of the Discrete NonLinear Schr{\"o}dinger (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.",

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AB - 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.

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KW - Exclusion processes

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Coarsening Dynamics in a Simplified DNLS Model

Abstract

Keywords

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