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Stochastic Thermodynamics of Oscillators' Networks
Simone Borlenghi1, Anna Delin1,2
1Department of Applied Physics, School of Engineering Science, KTH Royal Institute of Technology, Electrum 229, SE-16440 Kista, Sweden.
Entropy (Basel, Switzerland)
|December 3, 2020
Summary
This study introduces a general method using stochastic thermodynamics to calculate heat and currents in complex systems. It clarifies entropy production and symmetry breaking far from equilibrium.
Area of Science:
- Statistical physics
- Non-equilibrium thermodynamics
- Complex systems dynamics
Background:
- Stochastic thermodynamics provides a framework for understanding microscopic fluctuations.
- Analyzing complex systems often involves stochastic differential equations like Langevin and Fokker-Planck equations.
- Understanding heat and current flow is crucial for non-equilibrium systems.
Purpose of the Study:
- To develop a general method for calculating thermodynamical currents and heat in complex systems.
- To generalize the concept of entropy production and analyze symmetry breaking.
- To apply the developed formalism to specific physical models.
Main Methods:
- Application of the stochastic thermodynamics formalism.
- Utilizing complex Langevin and Fokker-Planck equations.
- Employing Hodge decomposition for thermodynamical forces and fluxes.
Main Results:
- A simple and general recipe for calculating thermodynamical currents and heat.
- A generalized formula for entropy production, clarifying non-potential forces.
- Demonstration of detailed balance and time-reversal symmetry breaking far from equilibrium.
Conclusions:
- The developed formalism offers a transparent way to analyze off-equilibrium thermodynamics.
- The method is applicable to diverse systems, including ferromagnets and nano-friction models.
- Provides insights into fundamental aspects of non-equilibrium statistical mechanics.
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