Thermodynamics of Information Processing Based on Enzyme Kinetics: an Exactly Solvable Model of Information Pump

Abstract

Motivated by the recent proposed models of the information engine [D. Mandal and C. Jarzynski, Proc. Natl. Acad. Sci. 109, 11641 (2012)] and the information refrigerator [D. Mandal, H. T. Quan, and C. Jarzynski, Phys. Rev. Lett. 111, 030602 (2013)], we propose a minimal model of the information pump and the information eraser based on enzyme kinetics. This device can either pump molecules against the chemical potential gradient by consuming the information encoded in the bit stream or (partially) erase the information encoded in the bit stream by consuming the Gibbs free energy. The dynamics of this model is solved exactly, and the "phase diagram" of the operation regimes is determined. The efficiency and the power of the information machine is analyzed. The validity of the second law of thermodynamics within our model is clarified. Our model offers a simple paradigm for the investigating of the thermodynamics of information processing involving the chemical potential in small systems.

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• Topological phases of non-Hermitian systems
• Quantum and Information Thermodynamics: A Unifying Framework based on Repeated Interactions
• Biochemical machines for the interconversion of mutual information and work
• Autonomous conversion of information to work in quantum dots
• Correlation-powered Information Engines and the Thermodynamics of Self-Correction
• Leveraging Environmental Correlations: The Thermodynamics of Requisite Variety
• Functional Thermodynamics of Maxwellian Ratchets: Constructing and Deconstructing Patterns, Randomizing and Derandomizing Behaviors
• From a feedback-controlled demon to an information ratchet in a double quantum dot
• Relations Between Work and Entropy Production for General Information-Driven, Finite-State Engines
• Thermodynamics of Encoding and Encoders
• Thermodynamics of multiple Maxwell demons