Molecular kinetic analysis of a finite-time Carnot cycle

Details Molecular kinetic analysis of a finite-time Carnot cycle Molecular kinetic analysis of a finite-time Carnot cycle

2008-02-26

arxiv.org/abs/0802.3759v3

EPL, 83 (2008) 60003

Physics

Condensed Matter

Statistical Mechanics

6 pages, 4 figures

Scientific paper

10.1209/0295-5075/83/60003

We study the efficiency at the maximal power $\eta_\mathrm{max}$ 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 $\eta_\mathrm{max}=1-\sqrt{T_\mathrm{c}/T_\mathrm{h}}$ which is often called the Curzon-Ahlborn (CA) efficiency $\eta_\mathrm{CA}$. For the first time numerical experiments to verify the validity of $\eta_\mathrm{CA}$ are performed by means of molecular dynamics simulations and reveal that our $\eta_\mathrm{max}$ does not always agree with $\eta_\mathrm{CA}$, but approaches $\eta_\mathrm{CA}$ 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.

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