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The article explores Liesegang rings, a chemical phenomenon that forms geometric patterns in gels, and discusses the author's experiments and interest in non-equilibrium statistical mechanics for understanding pattern formation.
This paper introduces Neural Non-Equilibrium Hamiltonian Monte Carlo (NHMC), a train-then-correct method for sampling from unnormalized Boltzmann densities by learning stochastic Hamiltonian-style paths and correcting them using non-equilibrium work.
This paper develops a generative flow matching method to capture non-Markovian dynamics in non-equilibrium stochastic systems, demonstrating improved predictions for the Kramers first passage time problem compared to Markovian baselines.
This paper proposes a unified theoretical framework for phase transitions in deep learning (grokking, emergent capabilities) and non-equilibrium chemistry, describing both as driven informational systems governed by two gradient fields.