Current and fluctuation in a two-state stochastic system under non-adiabatic periodic perturbation

Abstract

We calculate a current and its fluctuation in a two-state stochastic system under a periodic perturbation. The system could be interpreted as a channel on a cell surface or a single Michaelis-Menten catalyzing enzyme. It has been shown that the periodic perturbation induces so-called pump current, and the pump current and its fluctuation are calculated with the aid of the geometrical phase interpretation. We give a simple calculation recipe for the statistics of the current, especially in a non-adiabatic case. The calculation scheme is based on the non-adiabatic geometrical phase interpretation. Using the Floquet theory, the total current and its fluctuation are calculated, and it is revealed that the average of the current shows a stochastic-resonance-like behavior. In contrast, the fluctuation of the current does not show such behavior.

7 pages, 1 figure

References in corpus (4)

• Brownian motors: noisy transport far from equilibrium
• The unified geometric theory of mesoscopic stochastic pumps and reversible ratchets
• Full Counting Statistics of Interacting Electrons
• Driving particle current through narrow channels using classical pump

Cited by in corpus (17)

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• Geometric Fluctuation Theorem
• Non-adiabatic effect in quantum pumping for a spin-boson system
• Quantization and Fractional Quantization of Currents in Periodically Driven Stochastic Systems II: Full Counting Statistics
• Energy pumping in electrical circuits under avalanche noise
• Fluctuation Relations For Adiabatic Pumping
• An ideal rapid-cycle Thouless pump
• Rapid-cycle Thouless pumping in a one-dimensional optical lattice
• Noncyclic and nonadiabatic geometric phase for counting statistics
• Universal expression for adiabatic pumping in terms of non-equilibrium steady states
• Direct numerical method for counting statistics in stochastic processes
• Noncyclic geometric phase in counting statistics and its role as an excess contribution
• Geometric pumping induced by shear flow in dilute liquid crystalline polymer solutions