论文标题

控制经典多体系统中的本地热状态

Controlling local thermal states in classical many-body systems

论文作者

Ben-Abdallah, Philippe, Rodriguez, Alejandro W.

论文摘要

多体系统中的热化过程是由子系统之间以及与周围环境之间的复杂相互作用驱动的。在这里,我们在靠近其平衡状态的任意非重生系统中为当地热状态的主动控制主动控制的理论基础。特别是我们描述了如何(i)强迫系统的某些部分在放松过程中根据规定的定律(即热靶向概率)进化,(ii)将某些元素与系统的其余部分隔离,或者(iii)在放松过程中同步其演变。我们还得出了系统必须满足的一般条件,以便某些部分以最低的能量成本放松,或者在最低时间的情况下向规定的温度放松。最后,我们在系统辐射热交换的系统中考虑了几个代表性示例。

The process of thermalization in many-body systems is driven by complex interactions among sub-systems and with the surrounding environment. Here we lay the theoretical foundations for the active control of local thermal states in arbitrary non-reciprocal systems close to their equilibrium state. In particular we describe how to (i) force some part of the system to evolve according to a prescribed law during the relaxation process (i.e. thermal targeting probem), (ii) insulate some elements from the rest of the system or (iii) synchronize their evolution during the relaxation process. We also derive the general conditions a system must fulfill in order that some parts relax toward a minimal temperature with a minimum energetic cost or relax toward a prescribed temperature with a minimum time. Finally, we consider several representative examples in the context of systems exchanging heat radiatively.

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