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# Title: Optimized Coefficient of performance of Power law dissipative Carnot like Refrigerator

Abstract: The present work investigates the generalized extreme bounds of the coefficient of performance for the power law dissipative Carnot-like refrigerator under $\chi$ and $\dot{\Omega}$ optimization criteria. It is found that the lower bound of coefficient of performance under the optimized $\chi$ criterion restrict the level of power law dissipation $\delta$. Such a restriction not observed in the $\dot{\Omega}$ criterion shows that the $\dot{\Omega}$ optimization is more profound than the $\chi$ criterion for refrigerator working at different dissipation levels. The lower and upper bounds of the coefficient of performance for the low dissipation Carnot-like refrigerator are obtained with $\delta=1$. The theoretical predictions obtained from the present model match closely with the measured coefficient of performance of real refrigerators.
 Comments: 8 pages and 2 figures Subjects: Statistical Mechanics (cond-mat.stat-mech) Cite as: arXiv:2001.01485 [cond-mat.stat-mech] (or arXiv:2001.01485v1 [cond-mat.stat-mech] for this version)

## Submission history

From: M Ponmurugan [view email]
[v1] Mon, 6 Jan 2020 11:15:52 GMT (93kb,D)
[v2] Tue, 2 Nov 2021 08:10:52 GMT (278kb,D)

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