Role of External Flow and Frame Invariance in Stochastic Thermodynamics

Abstract

For configurational changes of soft matter systems affected or caused by external hydrodynamic flow, we identify applied work, exchanged heat, and entropy change on the level of a single trajectory. These expressions guarantee invariance of stochastic thermodynamics under a change of frame of reference. As criterion for equilibrium \textit{vs.} nonequilibrium, zero \textit{vs.} nonzero applied work replaces detailed balance \textit{vs.} nonvanishing currents, since both latter criteria are shown to depend on the frame of reference. Our results are illustrated quantitatively by calculating the large deviation function for the entropy production of a dumbbell in shear flow.

References in corpus (19)

• A nonequilibrium equality for free energy differences
• The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
• Dynamical Ensembles in Nonequilibrium Statistical Mechanics
• Entropy production along a stochastic trajectory and an integral fluctuation theorem
• A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
• Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies
• Steady State Thermodynamics of Langevin Systems
• The Nonequilibrium Thermodynamics of Small Systems
• Swinging of red blood cells under shear flow
• Thermodynamics of a Colloidal Particle in a Time-Dependent Non-Harmonic Potential
• Stationary and Transient Work-Fluctuation Theorems for a Dragged Brownian Particle
• Swinging and Tumbling of Fluid Vesicles in Shear Flow
• Work fluctuation theorems for harmonic oscillators
• Work fluctuations for a Brownian particle between two thermostats
• Dense colloidal suspensions under time-dependent shear
• Comparison of work fluctuation relations
• Estimate of the free energy difference in mechanical systems from work fluctuations: experiments and models
• Statistics of Entropy Production in Linearized Stochastic System
• The distribution function of entropy flow in stochastic systems

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