Finite-N effects unavoidably drive the long-term evolution of long-range interacting N-body
systems. The Balescu-Lenard kinetic equation generically describes this process sourced by …

The long-term dynamics of long-range interacting N-body systems can generically be
described by the Balescu-Lenard kinetic equation. However, for one-dimensional …

We investigate the secular dynamics of long-range interacting particles moving on a sphere,
in the limit of an axisymmetric mean-field potential. We show that this system can be …

Long-range interacting systems unavoidably relax through Poisson shot noise fluctuations
generated by their finite number of particles, N. When driven by two-body correlations, ie …

We investigate the dependence of the largest Lyapunov exponent (LLE) of an N-particle self-
gravitating ring model at equilibrium with respect to the number of particles and its …

We show that homogeneous and nonhomogeneous states of the one-dimensional self-
gravitating sheets models have different ergodic properties. The former are nonergodic and …

Long-range interacting systems irreversibly relax as a result of their finite number of
particles, N. At order 1/N, this process is described by the inhomogeneous Balescu-Lenard …

The statement that Gibbs equilibrium ensembles are equivalent is a base line in many
approaches in the context of equilibrium statistical mechanics. However, as a known fact, for …

Stellar systems, such as galaxies and globular clusters, are fascinating yet complex many-
body systems in which stars are bound together by their collective gravitational field. The …

The relaxation to equilibrium of lattice systems with long-range interactions is investigated.
The timescales involved depend polynomially on the system size, potentially leading to …