# Wasserstein speed limits for Langevin systems

arXiv: https://arxiv.org/abs/2312.07788 · HTML: https://mlsanity.com/paper/2312.07788/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 12 Dec 2023.

## Built on by (most cited first, 1 of 1)

- [Optimal Computation from Fluctuation Responses](https://mlsanity.com/paper/2510.03900/) (2025)

## Abstract (arXiv)

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.