Wasserstein speed limits for Langevin systems

Ralph Sabbagh, Olga Movilla Miangolarra, Tryphon T. Georgiou
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Abstract

Physical systems transition between states with finite speed that is limited by energetic costs. In this work, we derive bounds on transition times for general Langevin systems that admit a decomposition into reversible and irreversible dynamics, in terms of the Wasserstein distance between states and the energetic costs associated with respective reversible and irreversible currents. For illustration we discuss Brownian particles subject to arbitrary forcing and an RLC circuit with time-varying inductor.

Abstract Image

朗文系统的瓦瑟斯坦速度限制
物理系统在不同状态之间的转换速度是有限的,这受到能量成本的限制。在这项工作中,我们根据状态间的瓦瑟斯坦距离以及与各自可逆和不可逆电流相关的能量成本,推导出了一般朗文系统的过渡时间界限,这些系统可以分解为可逆和不可逆动力学。为了说明问题,我们讨论了受到任意强迫的布朗粒子和具有时变电感的 RLC 电路。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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CiteScore
8.60
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