Coarsening Dynamics in a Simplified DNLS Model

Stefano Iubini, Antonio Politi, Paolo Politi
2013 Journal of statistical physics  
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.
doi:10.1007/s10955-013-0896-4 fatcat:qhocidxtjjcxdl5ttbi67v3c6i