论文标题
随着时间变化的温度轮廓下的随机热力学发动机
Stochastic thermodynamic engines under time-varying temperature profile
论文作者
论文摘要
在本文中，我们研究了与温度随时间定期变化的热浴与热浴接触的过度阻尼随机热力学发动机的功率输出和效率。这与大多数现有文献相反，该文献考虑了与具有不同固定温度（热和冷的温度不同）交替接触的Carnot范式。具体而言，我们考虑了一个周期性且有限但任意的温度曲线，并通过适当的控制潜力将热力学发动机耦合到外部世界的能力和效率上明确。我们分析中的常规假设是有效电位梯度的规范的界限 - 在没有任何此类约束的情况下，可以得出任意大的权力的物理上可疑的结论。
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.
