Cluster expansion for continuous particle systems interacting via an attractive pair potential and subjected to high density boundary conditions

TL;DR

This paper develops a cluster expansion method to analyze the low activity and high temperature phase of a continuous particle system with attractive interactions under high density boundary conditions.

Contribution

It introduces a novel cluster expansion approach tailored for continuous systems with attractive potentials and specific boundary conditions.

Findings

Effective characterization of phase behavior at low activity and high temperature.

Demonstrates the applicability of cluster expansion in finite volume with boundary effects.

Provides theoretical insights into particle interactions under constrained conditions.

Abstract

We propose a method based on cluster expansion to study the low activity/high temperature phase of a continuous particle system confined in a finite volume, interacting through a stable and finite range pair potential with negative minimum in presence of non free boundary conditions.