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Feynman–Smoluchowski engine at high temperatures and the role of constraints

2018/05/10 by Varinder Singh, Ramandeep S. Johal, Ramandeep S Johal · 16 citations
Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Control and Stability of Dynamical Systems #Energy (signal processing) #Heat engine #Mesoscopic physics #Ratchet #Simple (philosophy) #Thermal #Universality (dynamical systems) #cond-mat.stat-mech #stochastic dynamics and bifurcation

paper · pdf · doi:10.1088/1742-5468/aacfba

published in Journal of Statistical Mechanics Theory and Experiment 2018(7), 073205 (Institute of Physics) · 12 pages, 4 figures

arxiv created 2018/05/10 · openalex created_date 2018/05/17 · openalex publication_date 2018/07/01 · arxiv updated 2018/08/15 · openalex updated_date 2026/08/05

Abstract

Abstract Feynman’s ratchet and pawl is a paradigmatic model for energy conversion using thermal fluctuations in the mesoscopic regime. Here, we optimize the power output of the ratchet as a heat engine in the high temperatures limit, and derive the universality of efficiency at maximum power up to second order, using a non-linear approximation. On the other hand, the linear model may be optimized by constraining the internal energy scales in different ways. It is shown that simple constraints lead to well-known expressions of thermal efficiency in finite-time thermodynamics. Thereby, the constrained ratchet, in the linear regime, has been mapped to an effective finite-time thermodynamic model.

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