scholarly journals Entropy Production in Field Theories without Time-Reversal Symmetry: Quantifying the Non-Equilibrium Character of Active Matter

2017 ◽  
Vol 7 (2) ◽  
Author(s):  
Cesare Nardini ◽  
Étienne Fodor ◽  
Elsen Tjhung ◽  
Frédéric van Wijland ◽  
Julien Tailleur ◽  
...  
Keyword(s):  
Entropy Production ◽  
Time Reversal ◽  
Field Theories ◽  
Time Reversal Symmetry ◽  
Active Matter ◽  
Non Equilibrium

scholarly journals Stochastic Thermodynamics of Oscillators' Networks

2018 ◽  
Author(s):  
Simone Borlenghi ◽  
Anna Delin
Keyword(s):  
Entropy Production ◽  
Time Reversal ◽  
Detailed Balance ◽  
Nonlinear Oscillators ◽  
Time Reversal Symmetry ◽  
Equilibrium Thermodynamics ◽  
Stochastic Thermodynamics ◽  
Far From Equilibrium ◽  
Fokker Planck Equations ◽  
Kontorova Model

We apply the stochastic thermodynamics formalism to describe the dynamics of systems of complex Langevin and Fokker-Planck equations. We provide in particular a simple and general recipe to calculate thermodynamical currents, dissipated and propagating heat for networks of nonlinear oscillators. By using the Hodge decomposition of thermodynamical forces and fluxes, we derive a formula for entropy production that generalises the notion of non-potential forces and makes transparent the breaking of detailed balance and of time reversal symmetry for states arbitrarily far from equilibrium. Our formalism is then applied to describe the off-equilibrium thermodynamics of a few examples, notably a continuum ferromagnet, a network of classical spin-oscillators and the Frenkel-Kontorova model of nano friction.

scholarly journals Stochastic Thermodynamics of Oscillators’ Networks

Entropy ◽  
2018 ◽  
Vol 20 (12) ◽  
pp. 992
Author(s):  
Simone Borlenghi ◽  
Anna Delin
Keyword(s):  
Entropy Production ◽  
Time Reversal ◽  
Detailed Balance ◽  
Nonlinear Oscillators ◽  
Time Reversal Symmetry ◽  
Equilibrium Thermodynamics ◽  
Stochastic Thermodynamics ◽  
Far From Equilibrium ◽  
Fokker Planck Equations ◽  
Kontorova Model

We apply the stochastic thermodynamics formalism to describe the dynamics of systems of complex Langevin and Fokker-Planck equations. We provide in particular a simple and general recipe to calculate thermodynamical currents, dissipated and propagating heat for networks of nonlinear oscillators. By using the Hodge decomposition of thermodynamical forces and fluxes, we derive a formula for entropy production that generalises the notion of non-potential forces and makes transparent the breaking of detailed balance and of time reversal symmetry for states arbitrarily far from equilibrium. Our formalism is then applied to describe the off-equilibrium thermodynamics of a few examples, notably a continuum ferromagnet, a network of classical spin-oscillators and the Frenkel-Kontorova model of nano friction.

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