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Coarsening Dynamics in a Simplified DNLS Model |
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| Authors: | Stefano Iubini Antonio Politi Paolo Politi |
| Institution: | 1. Dipartimento di Fisica e Astronomia, CSDC, Università di Firenze, via G. Sansone 1, Sesto Fiorentino, 50019, Italy 3. Istituto dei Sistemi Complessi, Consiglio Nazionale delle Ricerche, via Madonna del Piano 10, Sesto Fiorentino, 50019, Italy 4. INFN Sezione di Firenze, via G. Sansone 1, Sesto Fiorentino, 50019, Italy 2. Institute for Complex Systems and Mathematical Biology, SUPA, University of Aberdeen, Aberdeen, AB24 3UE, UK |
| 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. |
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