One of the main features of statistical systems out of equilibrium is the currents they exhibit in
their stationary state: microscopic currents of probability between configurations, which …

We consider the problem of conditioning a Markov process on a rare event and of
representing this conditioned process by a conditioning-free process, called the effective or …

Large deviation functions of configurations exhibit very different behaviors in and out of
thermal equilibrium. In particular, they exhibit singularities in a broad range of non …

We discuss the Giardinà-Kurchan-Peliti population dynamics method for evaluating large
deviations of time-averaged quantities in Markov processes [Phys. Rev. Lett. 96, 120603 …

Large dynamical fluctuations—atypical realizations of the dynamics sustained over long
periods of time—can play a fundamental role in determining the properties of collective …

Very often when studying non-equilibrium systems one is interested in analysing dynamical
behaviour that occurs with very low probability, so called rare events. In practice, since rare …

Classical Nucleation Theory (CNT), linking rare nucleation events to the free-energy
landscape of a growing nucleus, is central to understanding phase-change kinetics in …

We discuss the relationships between large deviations in stochastic systems, and “effective
interactions” that induce particular rare events. We focus on the nature of these effective …

Off-lattice active Brownian particles form clusters and undergo phase separation even in the
absence of attractions or velocity-alignment mechanisms. Arguments that explain this …

We have shown recently that a Markov process conditioned on rare events involving time-
integrated random variables can be described in the long-time limit by an effective Markov …