Transformation of dynamical fluctuation into coherent energy

TL;DR

This paper develops an energetic framework for analyzing how dynamical noise induces coherent energy in ratchet systems, deriving efficiency formulas and validating them through analytical and numerical methods.

Contribution

It introduces a new energetics formulation for dynamical-noise-induced motion in static potentials, extending previous Langevin-based approaches.

Findings

Analytical efficiency formulas for noise-induced energy transformation.

Validation of theoretical predictions with numerical simulations.

Insights into chaotic noise effects on energy conversion.

Abstract

Studies of noise-induced motions are showing that coherent energy can be extracted from some kinds of noise in a periodic ratchet. Recently, energetics of Langevin dynamics is formulated by Sekimoto [J.Phys.Soc.Jpn, 66 1234 (1997)], which can be applied to ratchet systems described by Fokker-Planck equation. In this paper, we derive an energetics of ratchet systems that can be applied to dynamical-noise-induced motion in a static potential. Analytical efficiency of the energy transformation is derived for the dynamical noise in an overdumping limit of the system. Comparison between analytical and numerical studies is performed for chaotic noise.