We present general and rigorous results showing that the microcanonical and canonical
ensembles are equivalent at all three levels of description considered in statistical …

The gravitational force controls the evolution of the Universe on several scales. It is
responsible for the formation of galaxies from the primordial matter distribution and the …

We consider an infinite system of particles on a line performing identical Brownian motions
and interacting through the| x− y|− s Riesz potential, causing the overdamped motion of …

We present a detailed study of the topological properties of the Kitaev chain with long-range
pairing terms and in the presence of an Aubry-André-Harper on-site potential. Specifically …

Structures in the Universe, ranging from globular clusters to entire galaxies, are not
described by standard statistical mechanics at equilibrium. Instead, they are formed through …

We consider the N particle classical Riesz gas confined in a one-dimensional external
harmonic potential with power-law interaction of the form 1/rk, where r is the separation …

We discuss the hydrodynamic representation of a wide class of quantum media exhibiting
similar elementary excitations and dispersion properties. The representation covers …

Dynamical properties of lattice systems with long-range pair interactions, decaying like 1/r α
with the distance r, are investigated, in particular the time scales governing the relaxation to …

A singularity-free generalisation of Newtonian gravity can be constructed (Lazar in Phys Rev
D 102: 096002, 2020) within the framework of gradient field theory. This procedure offers a …

In this paper, we compute exactly the average density of a harmonically confined Riesz gas
of N particles for large N in the presence of a hard wall. In this Riesz gas, the particles repel …