The theory of large deviations is concerned with the exponential decay of probabilities of
large fluctuations in random systems. These probabilities are important in many fields of …

For systems with long-range interactions, the two-body potential decays at large distances
as V (r)∼ 1/rα, with α≤ d, where d is the space dimension. Examples are: gravitational …

This book deals with an important class of many-body systems: those where the interaction
potential decays slowly for large inter-particle distances; in particular, systems where the …

The theoretical study of the self-organization of two-dimensional and geophysical turbulent
flows is addressed based on statistical mechanics methods. This review is a self-contained …

The nonequilibrium dynamics of an ion chain in a highly anisotropic trap is studied when the
transverse trap frequency is quenched across the value at which the chain undergoes a …

We report on the observation of heteronuclear magnetic Feshbach resonances in several
isotope mixtures of the highly magnetic elements erbium and dysprosium. Among many …

Ergodicity in quantum many-body systems is—despite its fundamental importance—still an
open problem. Many-body localization provides a general framework for quantum ergodicity …

In recent years, studies of long-range interacting (LRI) systems have taken center stage in
the arena of statistical mechanics and dynamical system studies, due to new theoretical …

We study the collapse of ultracold fermionic gases into inhomogeneous states due to strong
dipolar interaction in both two-dimensions (2D) and three-dimensions (3D). Depending on …

We consider a single-component gas of dipolar bosons confined in a one-dimensional
optical lattice, where the dipoles are aligned such that the long-ranged dipolar interactions …