English

Benchmark control problems in nonequilibrium statistical mechanics

Statistical Mechanics 2025-08-14 v2

Abstract

We present a set of computer codes designed to test methods for optimizing time-dependent control protocols in fluctuating nonequilibrium systems. Each problem consists of a stochastic model, an optimization objective, and C++ and Python implementations that can be run on Unix-like systems. These benchmark systems are simple enough to run on a laptop, but challenging enough to test the capabilities of modern optimization methods. This release includes five problems and a worked example. The problem set is called NESTbench25, for NonEquilibrium STatistical mechanics benchmarks (2025).

Keywords

Cite

@article{arxiv.2506.15122,
  title  = {Benchmark control problems in nonequilibrium statistical mechanics},
  author = {Stephen Whitelam and Corneel Casert and Megan Engel and Isaac Tamblyn},
  journal= {arXiv preprint arXiv:2506.15122},
  year   = {2025}
}
R2 v1 2026-07-01T03:23:02.080Z