Large deviations in the alternating mass harmonic chain

DOI10.1088/1751-8113/47/32/325003zbMath1300.82016arXiv1402.1513OpenAlexW3099281437MaRDI QIDQ2878624

Hans C. Fogedby

Publication date: 4 September 2014

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Abstract: We extend the work of Kannan et al. and derive the cumulant generating function for the alternating mass harmonic chain consisting of N particles and driven by heat reservoirs. The main result is a closed expression for the cumulant generating function in the thermodynamic large N limit. This expression is independent of N but depends on whether the chain consists of an even or an odd number of particles, in accordance with the results obtained by Kannan el al. for the heat current. This result is in accordance with the absence of local thermodynamic equilibrium in a linear system.

Full work available at URL: https://arxiv.org/abs/1402.1513

zbMATH Keywords

large deviationsnonequilibriumharmonic chain

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Large deviations (60F10) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

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