Collective Dynamics from Stochastic Thermodynamics

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.

18 pages

References in corpus (18)

• A nonequilibrium equality for free energy differences
• Synchronization in complex networks
• Stochastic thermodynamics, fluctuation theorems, and molecular machines
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• Possible extended forms of thermodynamic entropy

Cited by in corpus (13)

• Collective power: Minimal model for thermodynamics of nonequilibrium phase transitions
• Analysis of slow transitions between nonequilibrium steady states
• Thermodynamic uncertainty relation of interacting oscillators in synchrony
• Stochastic thermodynamics of all-to-all interacting many-body systems
• Macroscopic Time-Reversal Symmetry Breaking at Nonequilibrium Phase Transition
• Stochastic thermodynamics in many-particle systems
• Universal Form of Stochastic Evolution for Slow Variables in Equilibrium Systems
• Energetics of synchronization in coupled oscillators rotating on circular trajectories
• Least Rattling Feedback from Strong Time-scale Separation
• Stochastic order parameter dynamics for phase coexistence in heat conduction
• Thermodynamics aspects of noise-induced phase synchronization
• Minimum-dissipation principle for synchronised stochastic oscillators far from equilibrium
• Information entropy and temperature of the binary Markov chains