Wasserstein speed limits for Langevin systems
Mathematical Physics
2024-09-06 v2 Systems and Control
Systems and Control
math.MP
Optimization and Control
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.
Cite
@article{arxiv.2312.07788,
title = {Wasserstein speed limits for Langevin systems},
author = {Ralph Sabbagh and Olga Movilla Miangolarra and Tryphon T. Georgiou},
journal= {arXiv preprint arXiv:2312.07788},
year = {2024}
}
Comments
10 pages, 2 figures