Work producing reservoirs: Stochastic thermodynamics with generalized Gibbs ensembles

Abstract

We develop a consistent stochastic thermodynamics for environments composed of thermodynamic reservoirs in an external conservative force field, that is environments described by the Generalized or Gibbs canonical ensemble. We demonstrate that small systems weakly coupled to such reservoirs exchange both heat and work by verifying a local detailed balance relation for the induced stochastic dynamics. Based on this analysis, we help to rationalize the observation that nonthermal reservoirs can increase the efficiency of thermodynamic heat engines.

arXiv comment6 pages, 1 figure, plus 3 pages

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Cited by in corpus (19)

• Quantum fluctuation theorems for arbitrary environments: adiabatic and non-adiabatic entropy production
• The squeezed thermal reservoir as a generalized equilibrium reservoir
• Concepts of work in autonomous quantum heat engines
• Conservation Laws shape Dissipation
• Hysteretic thermodynamic uncertainty relation for systems with broken time-reversal symmetry
• Hybrid Thermal Machines: Generalized Thermodynamic Resources for Multitasking
• Non-Abelian Quantum Transport and Thermosqueezing Effects
• Deriving GENERIC from a generalized fluctuation symmetry
• Stochastic Thermodynamic Cycles of a Mesoscopic Thermoelectric Engine
• Stochastic control in microscopic nonequilibrium systems
• Discrete fluctuations in memory erasure without energy cost
• Micro-reversibility and thermalization with collisional baths
• Exactly solvable model of a passive Brownian heat engine and its comparison with active engines
• Energetics of critical oscillators in active bacterial baths
• Stochastic thermodynamics of inertial-like Stuart-Landau dimer
• First passage time and change of entropy
• Geometric view of stochastic thermodynamics for non-equilibrium steady states
• Dissipation in Hydrodynamics from Micro- to Macroscale: Wisdom from Boltzmann and Stochastic Thermodynamics
• Decomposition of radiation energy into work and heat