A chemical reaction network implementation of a Maxwell demon

Author:

Bilancioni Massimo1ORCID,Esposito Massimiliano1ORCID,Freitas Nahuel12ORCID

Affiliation:

1. Department of Physics and Materials Science, University of Luxembourg 1 , Avenue de la Faïencerie, Luxembourg City 1511, G.D. Luxembourg

2. Facultad de Ciencias Exactas y Naturales, Departamento de Física, Universidad de Buenos Aires 2 , Buenos Aires, Argentina

Abstract

We study an autonomous model of a Maxwell demon that works by rectifying thermal fluctuations of chemical reactions. It constitutes the chemical analog of a recently studied electronic demon. We characterize its scaling behavior in the macroscopic limit, its performances, and the impact of potential internal delays. We obtain analytical expressions for all quantities of interest: the generated reverse chemical current, the output power, the transduction efficiency, and correlation between the number of molecules. Due to a bound on the nonequilibrium response of its chemical reaction network, we find that, contrary to the electronic case, there is no way for the Maxwell demon to generate a finite output in the macroscopic limit. Finally, we analyze the information thermodynamics of the Maxwell demon from a bipartite perspective. In the limit of a fast demon, the information flow is obtained, its pattern in the state space is discussed, and the behavior of partial efficiencies related to the measurement and feedback processes is examined.

Funder

Fonds National de la Recherche Luxembourg

Fonds de la Recherche Scientifique–FNRS

Publisher

AIP Publishing

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy

Reference46 articles.

1. On the decrease of entropy in a thermodynamic system by the intervention of intelligent beings;Z. Phys.,1929

2. On the decrease of entropy in a thermodynamic system by the intervention of intelligent beings

3. Maxwell’s demon cannot operate: Information and entropy. I;J. Appl. Phys.,1951

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