Three-dimensional Gonihedric Potts model

TL;DR

This paper investigates a generalized q-state Potts gonihedric model using Mean Field and Monte Carlo methods, revealing how the phase transition strength and order depend on the parameter q.

Contribution

It introduces a generalized model and analyzes how phase transition properties vary with q, including the critical point for second order transition.

Findings

Phase transition strength increases with q.

Critical value k_c(q) increases with q.

Transition becomes second order at k_c(q).

Abstract

We study, by the Mean Field and Monte Carlo methods, a generalized q-state Potts gonihedric model. The phase transition of the model becomes stronger with increasing $q.$ The value $k_c(q),$ at which the phase transition becomes second order, turns out to be an increasing function of $q.$