Thermodynamics and phase transitions of galactic clustering in higher-order Modified Gravity

TL;DR

This paper explores how higher-order modifications to Newtonian gravity influence the thermodynamics and phase transitions of galactic clustering, providing new equations of state and probability distributions.

Contribution

It introduces higher-order corrected equations of state and probability distributions for galactic systems, linking order parameters to critical temperatures in gravitational phase transitions.

Findings

Higher-order corrections significantly alter thermodynamic equations.

A new relation between order parameter and critical temperature is established.

Galactic clustering can be modeled as a gravitational phase transition.

Abstract

We study the thermodynamics of galactic clustering under the higher-order corrected Newtonian dynamics. The clustering of galaxies is considered as a gravitational phase transition. In order to study the effects of higher-order correction to the thermodynamics of gravitational system, we compute more exact equations of state. Moreover, we investigate the corrected probability distribution function for such gravitating system. A relation between order parameter and the critical temperature is also established.