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arXiv 2207.05069cond-mat.stat-mechmath-phmath.MP
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时变温度分布下的随机热力发动机

Stochastic thermodynamic engines under time-varying temperature profile

Rui Fu, Olga Movilla Miangolarra, Amirhossein Taghvaei, Yongxin Chen, Tryphon T. Georgiou

摘要:

在本文中,我们研究的功率输出和效率的过阻尼随机热力学发动机,在接触的热浴具有随时间周期性变化的温度。这与大多数考虑与具有不同固定温度(热和冷)的热浴交替接触的卡诺范例的现有文献相反。具体而言,我们认为一个周期性的和有界的,但在其他任意的温度分布和推导出明确的界限上的功率和效率可实现的一个合适的控制潜力,耦合的热力学引擎到外部世界。在我们的分析中的常设假设是有效势的梯度的范数的界限-在没有任何这样的约束,物理上有问题的结论,任意大的权力可以得出。

英文摘要:

In the present paper, we study the power output and efficiency of overdamped stochastic thermodynamic engines that are in contact with a heat bath having a temperature that varies periodically with time. This is in contrast to most of the existing literature that considers the Carnot paradigm of alternating contact with heat baths having different fixed temperatures, hot and cold. Specifically, we consider a periodic and bounded but otherwise arbitrary temperature profile and derive explicit bounds on the power and efficiency achievable by a suitable controlling potential that couples the thermodynamic engine to the external world. Standing assumptions in our analysis are bounds on the norm of the gradient of effective potentials -- in the absence of any such constraint, the physically questionable conclusion of arbitrarily large power can be drawn.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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