van der Waals fluid and charged AdS black hole in the Landau theory

TL;DR

This paper develops a Landau theory framework for phase transitions in van der Waals fluids and charged AdS black holes, linking thermodynamic phase changes to minima of a constructed Landau functional.

Contribution

It introduces a novel Landau functional approach that captures black hole phase transitions, bridging black hole thermodynamics with classical phase transition theory.

Findings

Landau functional reflects black hole phase transition processes.

Splitting of the global minimum indicates second-order transition.

Transformation of the global minimum indicates first-order transition.

Abstract

By introducing the general construction of Landau functional of the van der Waals system and charged AdS black hole system, we have preliminarily realized the Landau continuous phase transition theory in black hole thermodynamics. The results show that the Landau functional constructed in present paper can directly reflect the physical process of black hole phase transition. Specifically, the splitting of the global minimum of the Landau functional corresponds to the second-order phase transition of the black hole, and the transformation of the global minimum reflects the first-order phase transition of the black hole.