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arXiv · 1501.00055

Collective Dynamics from Stochastic Thermodynamics

Shin-ichi Sasa
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Abstract

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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Shin-ichi Sasa. 2014-12-31. Collective Dynamics from Stochastic Thermodynamics. https://doi.org/10.1088/1367-2630%2F17%2F4%2F045024

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