In ergodic physical systems, time-averaged quantities converge (for large times) to their
ensemble-averaged values. Large deviation theory describes rare events where these time …

Sampling the Boltzmann distribution using forces that violate detailed balance can be faster
than with the equilibrium evolution, but the acceleration depends on the nature of the …

We have created a functional framework for a class of non-metric gradient systems. The
state space is a space of nonnegative measures, and the class of systems includes the …

Active systems are characterized by a continuous production of entropy at steady state. We
study the statistics of entropy production within a lattice-based model of interacting active …

We present the conceptual and technical background required to describe and understand
the correlations and fluctuations of the empirical density and current of steady-state diffusion …

We review a class of gradient systems with dissipation potentials of hyperbolic-cosine type.
We show how such dissipation potentials emerge in large deviations of jump processes …

We derive the Hessian geometric structure of nonequilibrium chemical reaction networks on
the flux and force spaces induced by the Legendre duality of convex dissipation functions …

We present general results on fluctuations and spatial correlations of the coarse-grained
empirical density and current of Markovian diffusion in equilibrium or nonequilibrium steady …

It is known that the distribution of nonreversible Markov processes breaking the detailed
balance condition converges faster to the stationary distribution compared to reversible …

We introduce a formalism to study nonequilibrium steady-state probability currents in
stochastic field theories. We show that generalizing the exterior derivative to functional …