2017/02/27 by Viktor Holubec, Artem Ryabov, Mohammad Yaghoubi +5 · 29 citations
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Classical mechanics #Feynman diagram #Flow (mathematics) #Generalization #Mathematical analysis #Mathematics #Mechanics #Nonlinear Dynamics and Pattern Formation #Nonlinear system #Physics #Quantum mechanics #Ratchet #Ratchet effect #Statistical physics #Work (physics) #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.3390/e19040119
published in Entropy 19(4), 119 (Multidisciplinary Digital Publishing Institute)
arxiv created 2017/02/27 · openalex publication_date 2017/03/23 · arxiv updated 2017/03/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The stochastic model of the Feynman–Smoluchowski ratchet is proposed and solved using generalization of the Fick–Jacobs theory. The theory fully captures nonlinear response of the ratchet to the difference of heat bath temperatures. The ratchet performance is discussed using the mean velocity, the average heat flow between the two heat reservoirs and the figure of merit, which quantifies energetic cost for attaining a certain mean velocity. Limits of the theory are tested comparing its predictions to numerics. We also demonstrate connection between the ratchet effect emerging in the model and rotations of the probability current and explain direction of the mean velocity using simple discrete analogue of the model.