以棘轮为媒介的复位:电流、效率和精确解

IF 2 3区 物理与天体物理 Q2 PHYSICS, MATHEMATICAL Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-07-23 DOI:10.1088/1751-8121/ad62c9
Connor Roberts, Emir Sezik and Eloise Lardet
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引用次数: 0

摘要

我们模拟了一个过阻尼布朗粒子的模型,该粒子在空间周期域上受到棘轮势的重置。这种非对称电势以恒定的速率开启,但只有当粒子第一次到达电势最小值处的重置点时才会再次关闭。重复这一循环可维持非平衡稳态以及定向稳态电流,利用定向稳态电流可进行有用功。我们推导出了自由扩散和复位阶段的概率密度、每个阶段的相关电流以及量化给定功率输入下电流回报的效率参数的精确解析表达式。通过这些表达式,我们可以全面描述系统特性,并获得与实验相关的结果,如最佳电流和效率。我们的结果得到了模拟的证实,并对实验可行的有限时间复位协议产生了影响。
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Ratchet-mediated resetting: current, efficiency, and exact solution
We model an overdamped Brownian particle that is subject to resetting facilitated by a ratchet potential on a spatially periodic domain. This asymmetric potential switches on with a constant rate, but switches off again only upon the particle’s first passage to a resetting point at the minimum of the potential. Repeating this cycle sustains a non-equilibrium steady-state, as well as a directed steady-state current which can be harnessed to perform useful work. We derive exact analytic expressions for the probability densities of the free-diffusion and resetting phases, the associated currents for each phase, and an efficiency parameter that quantifies the return in current for given power input. These expressions allow us to fully characterise the system and obtain experimentally relevant results such as the optimal current and efficiency. Our results are corroborated by simulations, and have implications for experimentally viable finite-time resetting protocols.
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来源期刊
CiteScore
4.10
自引率
14.30%
发文量
542
审稿时长
1.9 months
期刊介绍: Publishing 50 issues a year, Journal of Physics A: Mathematical and Theoretical is a major journal of theoretical physics reporting research on the mathematical structures that describe fundamental processes of the physical world and on the analytical, computational and numerical methods for exploring these structures.
期刊最新文献
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