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.

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• Swinging of red blood cells under shear flow
• Stationary and Transient Work-Fluctuation Theorems for a Dragged Brownian Particle
• Work fluctuation theorems for harmonic oscillators
• Work fluctuations for a Brownian particle between two thermostats
• Dense colloidal suspensions under time-dependent shear
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Cited by in corpus (11)

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• Extended Fluctuation-Dissipation Theorem for Soft Matter in Stationary Flow
• Micro-Capsules in Shear Flow
• Limits of Predictions in Thermodynamic Systems: A Review
• Work producing reservoirs: Stochastic thermodynamics with generalized Gibbs ensembles
• Non-equilibrium work distribution for interacting colloidal particles under friction
• Variational design principles for nonequilibrium colloidal assembly
• Anomalous thermal relaxation of Langevin particles in a piecewise-constant potential
• A topological fluctuation theorem
• Galilean relativity for Brownian dynamics and energetics