Off-equilibrium Langevin dynamics of the discrete nonlinear Schroedinger chain

Abstract

Suitable Langevin thermostats are introduced which are able to control both the temperature and the chemical potential of a one-dimensional lattice of nonlinear Schrödinger oscillators. The resulting non-equilibrium stationary states are then investigated in two limit cases (low temperatures and large particle densities), where the dynamics can be mapped onto that of a coupled-rotor chain with an external torque. As a result, an effective kinetic definition of temperature can be introduced and compared with the general microcanonical (global) definition.

Accepted for publication in JSTAT

References in corpus (5)

• Heat Transport in low-dimensional systems
• A momentum conserving model with anomalous thermal conductivity in low dimension
• Heat transport in harmonic lattices
• The nonequilibrium discrete nonlinear Schroedinger equation
• A microscopic mechanism for increasing thermoelectric efficiency

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