Mean field theory of spherical gravitating systems

Mean field theory of spherical gravitating systems

Important gaps remain in our understanding of the thermodynamics and statistical physics of self-gravitating systems. Using mean field theory, here we investigate the equilibrium properties of several spherically symmetric model systems confined in a finite domain consisting of either point masses or rotating mass shells of different dimension. We establish a direct connection between the spher...

Determination of spherical mean field nuclei

For the purpose of fitting nuclear mean-field models, we search for those spherical nuclei which are well reproduced by a mean-field description. To that end, we investigate the correlation energies for isotopic and isotonic chains of semi-magic nuclei. We find that isotonic chains provide the best pool of data. Motivation Self-consistent nuclear mean-field models are a widely used tool for a h...

On the mean-field spherical model

Exact solutions are obtained for the mean-field spherical model, with or without an external magnetic field, for any finite or infinite number N of degrees of freedom, both in the microcanonical and in the canonical ensemble. The canonical result allows for an exact discussion of the loci of the Fisher zeros of the canonical partition function. The microcanonical entropy is found to be nonanaly...

Embedded mean-field theory.

We introduce embedded mean-field theory (EMFT), an approach that flexibly allows for the embedding of one mean-field theory in another without the need to specify or fix the number of particles in each subsystem. EMFT is simple, is well-defined without recourse to parameters, and inherits the simple gradient theory of the parent mean-field theories. In this paper, we report extensive benchmarki...

Dynamical mean-field theory