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Stochastic heat engine acting like a weakly nonlinear wave ensemble

Author

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  • Lo, Chi-Fai
  • Choi, Yeontaek
  • Nazarenko, Sergey

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.

Suggested Citation

  • Lo, Chi-Fai & Choi, Yeontaek & Nazarenko, Sergey, 2025. "Stochastic heat engine acting like a weakly nonlinear wave ensemble," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).
  • Handle: RePEc:eee:chsofr:v:191:y:2025:i:c:s0960077924013882
    DOI: 10.1016/j.chaos.2024.115836
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