Coefficient of performance at maximum χ-criterion of thermochemical refrigerators with near-independent particles

Nian Liu, Xiaoguang Luo and Maolian Zhang

Physica A: Statistical Mechanics and its Applications, 2018, vol. 511, issue C, 182-190

Abstract: Thermochemical refrigerators, constituted by a cold/hot reservoir with an energy filter between them, are established by utilizing Maxwell–Boltzmann, Fermi–Dirac, and Bose–Einstein particles as working substances. With the help of chemical potential gradient, heat coupled with the particle flux can be transferred against the temperature gradient, thus the cold reservoir is cooled. The coupling between the heat and particle fluxes, determined by the width Γ of the energy filter, will be weakened when Γ increases. As the coupling gets weak gradually, the εC-dependent coefficient of performances (COPs) of such refrigerators are optimized under the χ-criterion, where εC is the Carnot COP and χ is defined as the product of the COP and cooling rate. It is found three different regions of COP at maximum χ in three different kinds of near-independent systems respectively. The corresponding three upper bounds, obtained from the case of strong coupling (i.e., Γ→0), are also bounded by 9+8εC−3∕2 from above. When Γ increases from 0 to infinity, the COPs at maximum χ decreases monotonously to three lower bounds. In addition, the upper bound of Bose–Einstein system can be approximated by the Curzon–Ahlborn COP: εCA=1+εC−1.

Keywords: Thermochemical refrigerators; χ-criterion; Coefficient of performances; Cooling rate; Optimization (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437118307167
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:511:y:2018:i:c:p:182-190

DOI: 10.1016/j.physa.2018.05.153

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().