Negative Temperature States in the Discrete Nonlinear Schroedinger Equation

Details Negative Temperature States in the Discrete Nonlinear Schroedinger Equation Negative Temperature States in the Discrete Nonlinear Schroedinger Equation

2012-03-19

arxiv.org/abs/1203.4162v1

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, 5 figures

Scientific paper

We explore the statistical behavior of the discrete nonlinear Schroedinger equation. We find a parameter region where the system evolves towards a state characterized by a finite density of breathers and a negative temperature. Such a state is metastable but the convergence to equilibrium occurs on astronomical time scales and becomes increasingly slower as a result of a coarsening processes. Stationary negative-temperature states can be experimentally generated via boundary dissipation or from free expansions of wave packets initially at positive temperature equilibrium.

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