Nonlinear statistical effects in relativistic mean field theory

TL;DR

This paper explores how nonlinear statistical effects influence the equation of state and phase formation in relativistic mean field theory of nuclear matter at finite temperature and density, highlighting their significance even with slight deviations from classical statistics.

Contribution

It introduces the incorporation of nonlinear statistical effects via power-law quantum distributions into relativistic mean field theory, extending traditional models.

Findings

Nonlinear effects significantly alter the equation of state.

Mixed phase formation is affected by these statistical effects.

Effects are notable even with small deviations from Boltzmann-Gibbs statistics.

Abstract

We investigate the relativistic mean field theory of nuclear matter at finite temperature and baryon density taking into account of nonlinear statistical effects, characterized by power-law quantum distributions. The analysis is performed by requiring the Gibbs conditions on the global conservation of baryon number and electric charge fraction. We show that such nonlinear statistical effects play a crucial role in the equation of state and in the formation of mixed phase also for small deviations from the standard Boltzmann-Gibbs statistics.