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Title: Efficiency at maximum power output for an engine with a passive piston
Authors: Sano, Tomohiko G.
Hayakawa, Hisao  kyouindb  KAKEN_id
Author's alias: 佐野, 友彦
早川, 尚男
Keywords: A47 Other topics in equilibrium statistical mechanics
A50 Stochastic processes, stochastic models and percolations
A56 Nonlinear and nonequilibrium phenomena
A58 Other topics in nonequilibrium statistical mechanics
Issue Date: Aug-2016
Publisher: Oxford University Press (OUP)
Journal title: Progress of Theoretical and Experimental Physics
Volume: 2016
Issue: 8
Thesis number: 083A03
Abstract: Efficiency at maximum power (MP) output for an engine with a passive piston without mechanical controls between two reservoirs is studied theoretically. We enclose a hard core gas partitioned by a massive piston in a temperature-controlled container and analyze the efficiency at MP under a heating and cooling protocol without controlling the pressure acting on the piston from outside. We find the following three results: (i) The efficiency at MP for a dilute gas is close to the Chambadal–Novikov–Curzon–Ahlborn (CNCA) efficiency if we can ignore the sidewall friction and the loss of energy between a gas particle and the piston, while (ii) the efficiency for a moderately dense gas becomes smaller than the CNCA efficiency even when the temperature difference of the reservoirs is small. (iii) Introducing the Onsager matrix for an engine with a passive piston, we verify that the tight coupling condition for the matrix of the dilute gas is satisfied, while that of the moderately dense gas is not satisfied because of the inevitable heat leak. We confirm the validity of these results using the molecular dynamics simulation and introducing an effective mean-field-like model which we call the stochastic mean field model.
Rights: © The Author(s) 2016. Published by Oxford University Press on behalf of the Physical Society of Japan.This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.
URI: http://hdl.handle.net/2433/227521
DOI(Published Version): 10.1093/ptep/ptw103
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