Pressure and Maxwell Tensor in a Coulomb Fluid

TL;DR

This paper investigates how the pressure in a Coulomb fluid can be derived from the Maxwell tensor, providing new insights especially for fluids in curved spaces where previous methods were inconclusive.

Contribution

It offers a novel approach to calculating pressure in Coulomb fluids using the Maxwell tensor, including in curved geometries where prior results were lacking.

Findings

Pressure derived from Maxwell tensor in Euclidean space aligns with known results.

Unambiguous pressure results obtained for Coulomb fluids in curved space.

Provides a new framework for analyzing Coulomb fluids in complex geometries.

Abstract

The pressure in a classical Coulomb fluid at equilibrium is obtained from the Maxwell tensor at some point inside the fluid, by a suitable statistical average. For fluids in an Euclidean space, this is a fresh look on known results. But, for fluids in a curved space, a case which is of some interest, the unambiguous results from the Maxwell tensor approach have not been obtained by other methods.