A geometric shortcut protocol using an auxiliary potential and geodesics on a dissipative-work metric enables finite-time state transitions in weakly active systems with reduced dissipation compared to linear ramps.
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).
fields
cond-mat.stat-mech 2years
2026 2representative citing papers
A velocity-input neural Maxwell demon learns cold damping and extracts work near the theoretical bound from an underdamped thermal oscillator.
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Shortcuts to state transitions for active matter
A geometric shortcut protocol using an auxiliary potential and geodesics on a dissipative-work metric enables finite-time state transitions in weakly active systems with reduced dissipation compared to linear ramps.
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A neural-network Maxwell's demon learns cold damping for work extraction
A velocity-input neural Maxwell demon learns cold damping and extracts work near the theoretical bound from an underdamped thermal oscillator.