Work

Change in the order of a phase transition in the two-dimensional Potts model with equivalent neighbors

Year: 2025

Type: article

Abstract: Two-dimensional (2D) Potts model is a classical example when the symmetry of the order parameter controls the order of a phase transition: on a square lattice with nearest-neighbors interaction, when the number of states q is less than or equal to 4, the second-order phase transition is observed, while for q>4 the first-order phase transition occurs. Recent research shows that even when the number of states is fixed, increasing the interaction range allows one to reach the point where the order of the phase transition changes. I focus on a q=3 2D Potts model and, from the analysis of the partition-function zeros, locate the number of interacting neighbors that change the order of the phase transition.

Source: Physical review. E

DOI: 10.1103/t156-9vyr

Author: Petro Sarkanych

Institution: Yukhnovskii Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funder: National Research Foundation of Ukraine

Award: G1495634801