# The Curie-Weiss model with complex temperature: phase transitions

## TL;DR

This paper investigates the behavior of the Curie-Weiss model when the temperature parameter is complex, analyzing phase transitions and the zeros of the partition function to deepen understanding of its mathematical properties.

## Contribution

It provides a partial description of phase transitions and the distribution of zeros of the partition function for the complex-temperature Curie-Weiss model, extending classical results.

## Key findings

- Identification of phase transition regions in the complex temperature plane
- Characterization of the zeros of the partition function
- Insights into the analytic structure of the free energy

## Abstract

We study the partition function and free energy of the Curie-Weiss model with complex temperature, and partially describe its phase transitions. As a consequence, we obtain information on the locations of zeros of the partition function.