Infinite volume limit for the dipole gas

TL;DR

This paper proves that the pressure of a classical dipole gas with low activity converges to a limit as the volume becomes infinite, using renormalization group techniques.

Contribution

It establishes the infinite volume limit of the pressure for the dipole gas through a rigorous renormalization group analysis.

Findings

Pressure converges as volume approaches infinity.

Renormalization group method effectively analyzes the dipole gas.

Results apply to low activity regimes.

Abstract

We consider a classical dipole gas in with low activity and show that the pressure has a limit as the volume goes to infinity. The result is obtained by a renormalization group analysis of the model.