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 …

The phenomenon of spontaneous synchronization, particularly within the framework of the
Kuramoto model, has been a subject of intense research over the years. The model …

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 …

We study the dynamics of a system of coupled oscillators of distributed natural frequencies,
by including the features of both thermal noise, parametrized by a temperature, and inertial …

We present an exact analytical solution for quantum strong long-range models in the
canonical ensemble by extending the classical solution proposed in Campa et al.[J. Phys. A …

The dynamics and thermostatistics of a classical inertial XY model, characterized by long-
range interactions, are investigated on d-dimensional lattices (d= 1, 2, and 3), through …

We numerically study a one-dimensional system of N classical localized planar rotators
coupled through interactions which decay with distance as 1/r α (α≥ 0). The approach is a …

Relationships between general long-range interacting classical systems on a lattice and the
corresponding mean-field models (infinitely long-range interacting models) are investigated …

The Hamiltonian mean-field model has been investigated, since its introduction about a
decade ago, to study the equilibrium and dynamical properties of long-range interacting …

The effect of nearest-neighbor coupling on the thermodynamic and dynamical properties of
the ferromagnetic Hamiltonian mean field model (HMF) is studied. For a range of …