Performance at maximum figure of merit for a Brownian Carnot refrigerator

IF 2.4 3区 物理与天体物理 Q1 Mathematics Physical review. E Pub Date : 2024-08-12 DOI:10.1103/physreve.110.024123
O. Contreras-Vergara, G. Valencia-Ortega, N. Sánchez-Salas, J. I. Jiménez-Aquino
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Abstract

This paper focuses on the coefficient of performance (COP) at maximum χR figure of merit for a Brownian Carnot-like refrigerator, within the context of the low-dissipation approach. Our proposal is based on the Langevin equation for a Brownian particle bounded to a harmonic potential trap, which can perform Carnot-like cycles at finite time. The theoretical approach is related to the equilibrium ensemble average of x2eq which plays the role of a statelike equation, x being the Brownian particle position. This statelike equation comes from the macroscopic version of the corresponding Langevin equation for a Brownian particle. We show that under quasistatic conditions the COP has the same expression as the macroscopic Carnot refrigerator, while for irreversible cycles at finite time and under symmetric dissipation the optimal COP is the counterpart of Curzon-Ahlborn efficiency as also obtained for irreversible macroscopic refrigerators.

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布朗卡诺制冷器的最大功勋值性能
本文的重点是在低耗散方法的背景下,研究类似卡诺的布朗冰箱在最大 χR 功勋值时的性能系数(COP)。我们的建议基于布朗粒子的朗格文方程,该布朗粒子以谐波势阱为界,可在有限时间内进行类似卡诺的循环。理论方法与〈x2〉eq 的平衡集合平均值有关,该集合平均值起着类似于静态方程的作用,x 是布朗粒子的位置。这个类静态方程来自布朗粒子的相应朗文方程的宏观版本。我们的研究表明,在准静态条件下,COP 的表达式与宏观卡诺冰箱相同,而对于有限时间内的不可逆循环和对称耗散,最佳 COP 是 Curzon-Ahlborn 效率的对应物,这也是在不可逆宏观冰箱中获得的。
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来源期刊
Physical review. E
Physical review. E 物理-物理:流体与等离子体
CiteScore
4.60
自引率
16.70%
发文量
0
审稿时长
3.3 months
期刊介绍: Physical Review E (PRE), broad and interdisciplinary in scope, focuses on collective phenomena of many-body systems, with statistical physics and nonlinear dynamics as the central themes of the journal. Physical Review E publishes recent developments in biological and soft matter physics including granular materials, colloids, complex fluids, liquid crystals, and polymers. The journal covers fluid dynamics and plasma physics and includes sections on computational and interdisciplinary physics, for example, complex networks.
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