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Stochastic thermodynamics for Ising chain and symmetric exclusion process

R. Toral

C. Van den Broeck

D. Escaff

Katja Lindenberg

  • IFISC (Instituto de Física Interdisciplinar y Sistemas Complejos), Universitat de les Illes Balears-CSIC, 07122-Palma de Mallorca, Spain

  • Hasselt University, B-3500 Hasselt, Belgium and Stellenbosch Institute for Advanced Studies, Matieland 7602, South Africa

  • Complex Systems Group, Facultad de Ingeniería y Ciencias Aplicadas, Universidad de los Andes, Avenida Monseñor Álvaro del Portillo No 12.455 Las Condes, Santiago, Chile

  • Department of Chemistry and Biochemistry and BioCircuits Institute, University of California San Diego, La Jolla, California 92093-0340, USA

Phys. Rev. E 95, 032114 – Published 7 March, 2017

DOI: https://doi.org/10.1103/PhysRevE.95.032114

Abstract

We verify the finite-time fluctuation theorem for a linear Ising chain in contact with heat reservoirs at its ends. Analytic results are derived for a chain consisting of two spins. The system can be mapped onto a model for particle transport, namely, the symmetric exclusion process in contact with thermal and particle reservoirs. We modify the symmetric exclusion process to represent a thermal engine and reproduce universal features of the efficiency at maximum power.

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