In this review, we discuss the persistence and the related first-passage properties in
extended many-body nonequilibrium systems. Starting with simple systems with one or few …

Power laws and distributions with heavy tails are common features of many complex
systems. Examples are the distribution of earthquake magnitudes, solar flare intensities and …

Unlike equilibrium statistical mechanics, with its well-established foundations, a similar
widely accepted framework for non-equilibrium statistical mechanics (NESM) remains …

Rich out-of-equilibrium collective dynamics of strongly interacting large assemblies emerge
in many areas of science. Some intriguing and not fully understood examples are the glassy …

This review presents the effective temperature notion as defined from the deviations from the
equilibrium fluctuation–dissipation theorem in out-of-equilibrium systems with slow …

Spatially extended population dynamics models that incorporate demographic noise serve
as case studies for the crucial role of fluctuations and correlations in biological systems …

Erratic or irregular movements, which we call unpredictable or random, occur spontaneously
and are essential part of microscopic and macroscopic worlds. When superimposed to the …

A bstract In this paper we consider classical and quantum versions of the critical long-range
O (N) model, for which we study finite-size and finite-temperature effects, respectively, at …

The presence of burstiness in temporal social networks, revealed by a power-law form of the
waiting time distribution of consecutive interactions, is expected to produce aging effects in …

We present a fast, hierarchical, and adaptive algorithm for Metropolis Monte Carlo
simulations of systems with long-range interactions that reproduces the dynamics of a …