Plata Carlos A, Guéry-Odelin David, Trizac Emmanuel, Prados Antonio
Dipartimento di Fisica e Astronomia "Galileo Galilei," Istituto Nazionale di Fisica Nucleare, Università di Padova, Via Marzolo 8, 35131 Padova, Italy.
Laboratoire Collisions, Agrégats, Réactivité, IRSAMC, Université de Toulouse, CNRS, UPS, Toulouse, France.
Phys Rev E. 2020 Mar;101(3-1):032129. doi: 10.1103/PhysRevE.101.032129.
Obtaining adiabatic processes that connect equilibrium states in a given time represents a challenge for mesoscopic systems. In this paper, we explicitly show how to build these finite-time adiabatic processes for an overdamped Brownian particle in an arbitrary potential, a system that is relevant at both the conceptual and the practical level. This is achieved by jointly engineering the time evolutions of the binding potential and the fluid temperature. Moreover, we prove that the second principle imposes a speed limit for such adiabatic transformations: there appears a minimum time to connect the initial and final states. This minimum time can be explicitly calculated for a general compression or decompression situation.
在给定时间内获得连接平衡态的绝热过程对介观系统来说是一项挑战。在本文中，我们明确展示了如何为处于任意势场中的过阻尼布朗粒子构建这些有限时间绝热过程，该系统在概念和实际层面都具有相关性。这是通过联合设计束缚势和流体温度的时间演化来实现的。此外，我们证明了第二定律为此类绝热变换设定了一个速度限制：连接初始态和终态存在一个最短时间。对于一般的压缩或减压情况，可以明确计算出这个最短时间。
