Journal Article Collective dynamics from stochastic thermodynamics

Sasa, Shin Ichi

17pp.1 - 14 , 2015-04-28 , Institute of Physics Publishing
ISSN:1367-2630
Description
From a viewpoint of stochastic thermodynamics, we derive equations that describe the collective dynamics near the order-disorder transition in the globally coupled XY model and near the synchronization-desynchronization transition in the Kuramoto model. A new way of thinking is to interpret the deterministic time evolution of a macroscopic variable as an external operation to a thermodynamic system. We then find that the irreversible work determines the equation for the collective dynamics. When analyzing the Kuramoto model, we employ a generalized concept of irreversible work which originates from a non-equilibrium identity associated with steady state thermodynamics.
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http://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/212531/2/1367-2630%2F17%2F4%2F045024.pdf

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