Nonreciprocality of a micromachine driven by a catalytic chemical reaction

Abstract

We propose a model that describes cyclic state transitions of a micromachine driven by a catalytic chemical reaction. We consider a mechano-chemical coupling of variables representing the degree of a chemical reaction and the internal state of a micromachine. The total free energy consists of a tilted periodic potential and a mechano-chemical coupling energy. We assume that the reaction variable obeys a deterministic stepwise dynamics characterized by two typical time scales, i.e., the mean first passage time and the mean first transition path time. To estimate the functionality of a micromachine, we focus on the quantity called "nonreciprocality" and further discuss its dependence on the properties of catalytic reaction. For example, we show that the nonreciprocality is proportional to the square of the mean first transition path time. The explicit calculation of the two time scales within the decoupling approximation model reveals that the nonreciprocality is inversely proportional to the square of the energy barrier of catalytic reaction.

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Cited by in corpus (10)

• Thermodynamic Bound on the Asymmetry of Cross-Correlations
• Self-organized swimming with odd elasticity
• Time-correlation functions for odd Langevin systems
• Odd elastohydrodynamics: non-reciprocal living material in a viscous fluid
• The Onsager-Machlup Integral for Non-reciprocal Systems with Odd Elasticity
• Onsager's variational principle for nonreciprocal systems with odd elasticity
• Generalized Three-Sphere Microswimmers
• Odd elasticity of a catalytic micromachine
• A minimal model with stochastically broken reciprocity
• Irreversibility of stochastic state transitions in Langevin systems with odd elasticity