Benchmark control problems in nonequilibrium statistical mechanics

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).

Publication Details

Journal
ArXiv.org
Published
2025-06-18
Primary Topic
Advanced Thermodynamics and Statistical Mechanics
Type
article
Field-Weighted Citation Impact
0.00

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article

Benchmark control problems in nonequilibrium statistical mechanics

ArXiv.org
Advanced Thermodynamics and Statistical Mechanics
article

Benchmark control problems in nonequilibrium statistical mechanics

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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).

ArXiv.org
National Science Foundation, U.S. Department of Energy, National Energy Research Scientific Computing Center, Directorate for Mathematical and Physical Sciences, Office of Science, Natural Sciences and Engineering Research Council of Canada, Basic Energy Sciences, Lawrence Berkeley National Laboratory
Openalex Percentile: Top 52%
Advanced Thermodynamics and Statistical Mechanics
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