English

Adding noise and scaling forces to speed up the Langevin clock

Statistical Mechanics 2026-03-05 v1 Soft Condensed Matter

Abstract

Using experiments on a colloidal particle trapped in an optical tweezer, we confirm a recent proposal to increase the effective mobility or clock rate of systems described by Langevin dynamics, by simultaneously scaling deterministic forces and adding external noise. A corollary, which we also confirm experimentally, is that a system driven out of equilibrium by a time-dependent protocol can remain closer to thermal equilibrium. As an application, we demonstrate more precise recovery of free-energy differences from nonequilibrium work relations. Langevin clock rescaling provides a general strategy for accelerating calculations in the emerging field of thermodynamic computing, which uses stochastic devices governed by Langevin dynamics to do low-energy calculations.

Keywords

Cite

@article{arxiv.2603.03620,
  title  = {Adding noise and scaling forces to speed up the Langevin clock},
  author = {Prithviraj Basak and Stephen Whitelam and John Bechhoefer},
  journal= {arXiv preprint arXiv:2603.03620},
  year   = {2026}
}