Stochastic heat engine acting like a weakly nonlinear wave ensemble

Chi-Fai Lo, Yeontaek Choi and Sergey Nazarenko

Chaos, Solitons & Fractals, 2025, vol. 191, issue C

Abstract: We have shown that a stochastic heat engine which is modelled by an over-damped random particle confined in an externally driven time-varying logarithmic-harmonic potential could behave like the wave amplitude of a system of weakly interacting waves. The system of weakly interacting waves may thus serve as an empirical testing ground of the stochastic heat engine. In addition, we have proposed a simple Lie-algebraic method to solve the time evolution equation for the probability density function (p.d.f.) of the system of weakly interacting waves by exploiting its dynamical symmetry. This Lie-algebraic approach has the advantage of generating both the p.d.f. and the generating function in a straightforward manner.

Keywords: Weak wave turbulence; Probability density function; Stochastic heat engine; Logarithmic-harmonic potential; Lie-algebraic method (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:191:y:2025:i:c:s0960077924013882

DOI: 10.1016/j.chaos.2024.115836

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