Molecular kinetic analysis of a finite-time Carnot cycle

dc.creatorIzumida, Yuki
dc.creatorOkuda, Koji
dc.date2008-02-26
dc.date2008-09-13
dc.date.accessioned2026-07-07T10:02:21Z
dc.date.available2026-07-07T10:02:21Z
dc.descriptionWe study the efficiency at the maximal power $η_\mathrm{max}$ of a finite-time Carnot cycle of a weakly interacting gas which we can reagard as a nearly ideal gas. In several systems interacting with the hot and cold reservoirs of the temperatures $T_\mathrm{h}$ and $T_\mathrm{c}$, respectively, it is known that $η_\mathrm{max}=1-\sqrt{T_\mathrm{c}/T_\mathrm{h}}$ which is often called the Curzon-Ahlborn (CA) efficiency $η_\mathrm{CA}$. For the first time numerical experiments to verify the validity of $η_\mathrm{CA}$ are performed by means of molecular dynamics simulations and reveal that our $η_\mathrm{max}$ does not always agree with $η_\mathrm{CA}$, but approaches $η_\mathrm{CA}$ in the limit of $T_\mathrm{c} \to T_\mathrm{h}$. Our molecular kinetic analysis explains the above facts theoretically by using only elementary arithmetic.
dc.description6 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0802.3759
dc.identifierhttp://arxiv.org/abs/0802.3759
dc.identifierEPL, 83 (2008) 60003
dc.identifierdoi:10.1209/0295-5075/83/60003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168943
dc.subjectStatistical Mechanics
dc.titleMolecular kinetic analysis of a finite-time Carnot cycle
dc.typetext

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