English

One-component fermion plasma on a sphere at finite temperature. The anisotropy in the paths conformations

Statistical Mechanics 2023-09-19 v2 Computational Physics

Abstract

In our previous work [R. Fantoni, Int. J. Mod. Phys. C, {\bf 29}, 1850064 (2018)] we studied, through a computer experiment, a one-component fermion plasma on a sphere at finite, non-zero, temperature. We extracted thermodynamic properties like the kinetic and internal energy per particle and structural properties like the radial distribution function, and produced some snapshots of the paths to study their shapes. Here we revisit such a study giving some more theoretical details explaining the paths shape anisotropic conformation due to the inhomogeneity in the polar angle of the variance of the random walk diffusion from the kinetic action.

Keywords

Cite

@article{arxiv.2303.11988,
  title  = {One-component fermion plasma on a sphere at finite temperature. The anisotropy in the paths conformations},
  author = {Riccardo Fantoni},
  journal= {arXiv preprint arXiv:2303.11988},
  year   = {2023}
}

Comments

15 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:1806.02153