Thermal response of a Fermi–Pasta–Ulam chain with Andersen thermostats
Department of Information and Computing Science, Universiteit Utrecht,
Utrecht, The Netherlands
2 Department of Physics and Astronomy, University of Padova, Via Marzolo 8, 35131 Padova, Italy
3 INFN, Sezione di Padova, Via Marzolo 8, 35131 Padova, Italy
a e-mail: firstname.lastname@example.org
Received in final form: 27 September 2017
Published online: 4 December 2017
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.
Key words: Statistical and Nonlinear Physics
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