Statistical Multifragmentation Model Within the Extended Morphological Thermodynamics Approach

TL;DR

This paper develops an exactly solvable statistical multifragmentation model based on morphological thermodynamics, providing insights into the nuclear liquid-gas phase transition by analyzing the contributions of different curvature parts to the free energy.

Contribution

It introduces a novel exactly solvable model that incorporates morphological thermodynamics into nuclear multifragmentation, emphasizing the roles of bulk, surface, and curvature energies.

Findings

Hard-core repulsion generates bulk, surface, and curvature free energy parts.

Gaussian curvature does not appear in the free energy derivation.

Phase diagram studied for a truncated model.

Abstract

On the basis of morphological thermodynamics we develop an exactly solvable version of statistical mutifragmentation model for the nuclear liquid-gas phase transition. It is shown that the hard-core repulsion between spherical nuclei generates only the bulk (volume), surface and curvature parts of the free energy of the nucleus, while the Gaussian curvature one does not appear in the derivation. The phase diagram of nuclear liquid-gas phase transition is studied for a truncated version of the developed model.