Linear Irreversible Thermodynamics and Onsager Reciprocity for Information-driven Engines

Abstract

In the recent progress in nonequilibrium thermodynamics, information has been recognized as a kind of thermodynamic resource that can drive thermodynamic current without any direct energy injection. In this paper, we establish the framework of linear irreversible thermodynamics for a broad class of autonomous information processing. In particular, we prove that the Onsager reciprocity holds true with information: The linear response matrix is well-defined, and is shown symmetric with both of the information affinity and the conventional thermodynamic affinity. As an application, we derive a universal bound for the efficiency at maximum power for information-driven engines in the linear regime. Our result reveals the fundamental role of information flow in linear irreversible thermodynamics, and would be applicable to study the role of information in biological systems.

11 pages, 3 figures

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Cited by in corpus (13)

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• Nonequilibrium uncertainty principle from information geometry
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• The underdamped Brownian duet and stochastic linear irreversible thermodynamics
• What we learn from the learning rate
• Role of sufficient statistics in stochastic thermodynamics and its implication to sensory adaptation
• Efficiency at maximum power of a Carnot quantum information engine
• Relation between topology and heat currents in multilevel absorption machines
• General linear thermodynamics for periodically driven systems with multiple reservoirs
• Stationary engines in and beyond the linear response regime at the Carnot efficiency
• Thermodynamic role of main reaction pathway and multi-body information flow in membrane transport
• Nonequilibrium free energy and information flow of a double quantum-dot system with Coulomb coupling
• Mutual Information in Coupled Double Quantum Dots: A Simple Analytic Model for Potential Artificial Consciousness