Hyperspherical approach to dipolar droplets beyond the mean-field limit

Beyond mean-field low-lying excitations of dipolar Bose gases

We theoretically investigate various beyond mean-field effects on Bose gases at zero temperature featuring the anisotropic and long-range dipole-dipole interaction in addition to the isotropic and short-range contact interaction. Within the realm of the Bogoliubov–de Gennes theory, we consider static properties and low-lying excitations of both homogeneous and harmonically trapped dipolar boson...

Quark Droplets in the NJL Mean Field

Mean - Field Backward Stochastic Differential Equations : a Limit Approach

Mathematical mean-field approaches play an important role in different fields of Physics and Chemistry, but have found in recent works also their application in Economics, Finance and Game Theory. The objective of our paper is to investigate a special mean-field problem in a purely stochastic approach: for the solution (Y,Z) of a mean-field backward stochastic differential equation driven by a ...

Dipolar Poisson-Boltzmann approach to ionic solutions: a mean field and loop expansion analysis.

We study the variation of the dielectric response of ionic aqueous solutions as function of their ionic strength. The effect of salt on the dielectric constant appears through the coupling between ions and dipolar water molecules. On a mean-field level, we account for any internal charge distribution of particles. The dipolar degrees of freedom are added to the ionic ones and result in a genera...

The absorptive ring cavity: dynamics & patterns beyond the mean-field limit

An optical ring cavity filled with an absorptive material is a fundamental spontaneous pattern-forming system [1]. Analyses of Turing bifurcations in these (uni-directional) cavity configurations [see Fig. 1(a)] can be simplified by deploying the thin-slice limit, wherein the host nonlinear medium (typically of the Maxwell-Bloch type) has a near-negligible thickness [2]. Our most recent researc...