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Fast-forward approach to stochastic heat engine.

Authors :
Katsuhiro Nakamura
Jasur Matrasulov
Yuki Izumida
Source :
Physical Review E. Jul2020, Vol. 102 Issue 1, p1-1. 1p.
Publication Year :
2020

Abstract

The fast-forward (FF) scheme proposed by Masuda and Nakamura [Proc. R. Soc. A 466, 1135 (2010)] in the context of conservative quantum dynamics can reproduce a quasistatic dynamics in an arbitrarily short time. We apply the FF scheme to the classical stochastic Carnot-like heat engine which is driven by a Brownian particle coupled with a time-dependent harmonic potential and working between the high- (Th) and low- (Tc) temperature heat reservoirs. Concentrating on the underdamped case where momentum degree of freedom is included, we find the explicit expressions for the FF protocols necessary to accelerate both the isothermal and thermally adiabatic processes and obtain the reversible and irreversible works. The irreversible work is shown to consist of two terms with one proportional to and the other inversely proportional to the friction coefficient. The optimal value of efficiency at the maximum power of this engine is found to be ..., respectively, in the cases of strong and weak dissipation. The result is justified for a wide family of time-scaling functions, making the FF protocols very flexible. We also revealed that the accelerated full cycle of the Carnot-like stochastic heat engine cannot be conceivable within the framework of the overdamped case, and the power and efficiency can be evaluated only when the momentum degree of freedom is taken into consideration. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
24700045
Volume :
102
Issue :
1
Database :
Academic Search Index
Journal :
Physical Review E
Publication Type :
Academic Journal
Accession number :
145182061
Full Text :
https://doi.org/10.1103/PhysRevE.102.012129