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 molecular dynamics. The interactions between rotators decay with the distance rij like ${1/r_{ij}^{\alpha}~(\alpha \geq 0)}$ , where α → ∞ and $\alpha=0$ respectively correspond to the nearest-neighbor and infinite-range interactions. We verify that the momenta probability distributions are Maxwellians in the short-range regime, whereas q-Gaussians emerge in the long-range regime. Moreover, in this latter regime, the individual energy probability distributions are characterized by long tails, corresponding to q-exponential functions. The present investigation str...
In recent years, studies of long-range interacting (LRI) systems have taken center stage in the aren...
In recent years, studies of long-range interacting (LRI) systems have taken center stage in the aren...
We quantify the long-time behavior of solutions to the nonlinear Boltzmann equation for spatially un...
Many physical systems are governed by long range interactions, the main example being self-gravitati...
AbstractWe numerically study a one-dimensional system of N classical localized planar rotators coupl...
We briefly review the classical approach to equilibrium and out of equilibrium statistical mechanics...
For systems with long-range interactions, the two-body potential decays at large distances as $V(r)s...
AbstractWe numerically study a one-dimensional system of N classical localized planar rotators coupl...
For systems with long-range interactions, the two-body potential decays at large distances as $V(r)s...
A Hamiltonian model living in a bounded phase space and with long-range interactions is studied. It ...
International audienceThe two-body potential of systems with long-range interactions decays at large...
International audienceThe two-body potential of systems with long-range interactions decays at large...
International audienceThe two-body potential of systems with long-range interactions decays at large...
International audienceThe two-body potential of systems with long-range interactions decays at large...
We numerically study the first-principle dynamics and thermostatistics of a d-dimensional classical ...
In recent years, studies of long-range interacting (LRI) systems have taken center stage in the aren...
In recent years, studies of long-range interacting (LRI) systems have taken center stage in the aren...
We quantify the long-time behavior of solutions to the nonlinear Boltzmann equation for spatially un...
Many physical systems are governed by long range interactions, the main example being self-gravitati...
AbstractWe numerically study a one-dimensional system of N classical localized planar rotators coupl...
We briefly review the classical approach to equilibrium and out of equilibrium statistical mechanics...
For systems with long-range interactions, the two-body potential decays at large distances as $V(r)s...
AbstractWe numerically study a one-dimensional system of N classical localized planar rotators coupl...
For systems with long-range interactions, the two-body potential decays at large distances as $V(r)s...
A Hamiltonian model living in a bounded phase space and with long-range interactions is studied. It ...
International audienceThe two-body potential of systems with long-range interactions decays at large...
International audienceThe two-body potential of systems with long-range interactions decays at large...
International audienceThe two-body potential of systems with long-range interactions decays at large...
International audienceThe two-body potential of systems with long-range interactions decays at large...
We numerically study the first-principle dynamics and thermostatistics of a d-dimensional classical ...
In recent years, studies of long-range interacting (LRI) systems have taken center stage in the aren...
In recent years, studies of long-range interacting (LRI) systems have taken center stage in the aren...
We quantify the long-time behavior of solutions to the nonlinear Boltzmann equation for spatially un...