# A Lower Bound on the Partition Function for a Strictly Neutral Charge-Symmetric System

## TL;DR

This paper establishes a lower bound on the grand partition function for a charge-neutral classical system, allowing the use of certain two-body potentials that are only conditionally positive definite.

## Contribution

It adapts a lower bound on the grand partition function to the neutral ensemble, enabling analysis with less restrictive potential conditions.

## Key findings

- Derived a lower bound applicable to neutral charge-symmetric systems.
- Extended the applicability to two-body potentials that are conditionally positive definite.
- Provided theoretical framework for analyzing neutral classical systems.

## Abstract

A lower bound on the grand partition function of a classical charge-symmetric system is adapted to the neutral grand canonical ensemble, in which the system is constrained to have zero total charge. This constraint permits us to consider two-body potentials that are only conditionally positive definite.