Fundamental relation between entropy production and heat current

Abstract

We investigate the fundamental relation between entropy production rate and the speed of energy exchange between a system and baths in classical Markov processes. We establish the fact that quick energy exchange inevitably induces large entropy production in a quantitative form. More specifically, we prove two inequalities on instantaneous quantities: One is applicable to general Markov processes induced by heat baths, and the other is applicable only to systems with the local detailed-balance condition but is stronger than the former one. We demonstrate the physical meaning of our result by applying to some specific setups. In particular, we show that our inequalities are tight in the linear response regime.

31 pages, no figure

References in corpus (15)

• Thermodynamic uncertainty relation for biomolecular processes
• Proof of the Finite-Time Thermodynamic Uncertainty Relation for Steady-State Currents
• Speed Limit for Classical Stochastic Processes
• Discrete-time thermodynamic uncertainty relation
• Strong bounds on Onsager coefficients and efficiency for three terminal thermoelectric transport in a magnetic field
• Exact microscopic analysis of a thermal Brownian motor
• Thermodynamic Bounds on Precision in Ballistic Multi-Terminal Transport
• Unified thermodynamic uncertainty relations in linear response
• Fluctuation Theorem for Partially-masked Nonequilibrium Dynamics
• Speed limit for open quantum systems
• Magnon-driven quantum-dot heat engine
• Efficiency of three-terminal thermoelectric transport under broken-time reversal symmetry
• Bound on Thermoelectric Power in a Magnetic Field within Linear Response
• Role of measurement-feedback separation in autonomous Maxwell's demons
• Efficiency bounds on thermoelectric transport in magnetic fields: The role of inelastic processes

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• Quantum jump approach to microscopic heat engines
• Two constructive proofs on d-majorization and thermo-majorization
• Speed limit for open systems coupled to general environments
• Time-symmetric current and its fluctuation response relation around nonequilibrium stalling stationary state
• Coherent Transport in Periodically Driven Mesoscopic Conductors: From Scattering Matrices to Quantum Thermodynamics
• Efficiency and thermodynamic uncertainty relations of a dynamical quantum heat engine
• Efficiency at the maximum power of the power law dissipative Carnot-like Heat engines with non-adiabatic dissipation
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• Symmetry induced enhancement in finite-time thermodynamic trade-off relations
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• Fluctuation-response relation of time-symmetric quantities around general nonequilibrium stationary state