Thermal response of a Fermi–Pasta–Ulam chain with Andersen thermostats

Federico D’Ambrosio () and Marco Baiesi
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Federico D’Ambrosio: Universiteit Utrecht
Marco Baiesi: University of Padova

The European Physical Journal B: Condensed Matter and Complex Systems, 2017, vol. 90, issue 12, 1-6

Abstract: Abstract The linear response to temperature variations is well characterised for equilibrium systems but a similar theory is not available, for example, for inertial heat conducting systems, whose paradigm is the Fermi–Pasta–Ulam (FPU) model driven by two different boundary temperatures. For models of inertial systems out of equilibrium, including relaxing systems, we show that Andersen thermostats are a natural tool for studying the thermal response. We derive a fluctuation-response relation that allows to predict thermal expansion coefficients or the heat capacitance in nonequilibrium regimes. Simulations of the FPU chain of oscillators suggest that estimates of susceptibilities obtained with our relation are better than those obtained via a small perturbation.

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1140/epjb/e2017-80364-4

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