A Chain, a Bath, a Sink and a Wall

Abstract

We investigate out-of-equilibrium stationary processes emerging in a Discrete Nonlinear Schroedinger chain in contact with a heat reservoir (a bath) at temperature $T_L$ and a pure dissipator (a sink) acting on opposite edges. We observe two different regimes. For small heat-bath temperatures $T_L$ and chemical-potentials, temperature profiles across the chain display a non-monotonous shape, remain remarkably smooth and even enter the region of negative absolute temperatures. For larger temperatures $T_L$, the transport of energy is strongly inhibited by the spontaneous emergence of discrete breathers, which act as a thermal wall. A strongly intermittent energy flux is also observed, due to the irregular birth and death events of the breathers. The corresponding statistics exhibits the typical signature of rare events of processes with large deviations. In particular, the breather lifetime is found to be ruled by a stretched-exponential law.

arXiv commentSubmitted to Entropy Special Issue "Thermodynamics and Statistical Mechanics of Small Systems"

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Cited by in corpus (21)

• Statistical Mechanics of Systems with Negative Temperature
• Non-Fourier heat transport in nanosystems
• Dynamical freezing of relaxation to equilibrium
• Localization transition in the Discrete Non-Linear Schrödinger Equation: ensembles inequivalence and negative temperatures
• Chaos and localization in the Discrete Nonlinear Schrödinger Equation
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• Localization and "classical entanglement'' in the Discrete Non-Linear Schrödinger Equation
• Infinite-temperature thermostats by energy localization in a nonequilibrium setup
• Dephasing-assisted macrospin transport