Extended Curie-Weiss law: a nonextensive perspective

TL;DR

This paper extends the Curie-Weiss law within the framework of Tsallis nonextensive statistical mechanics, analyzing spin systems with long-range interactions and temperature-dependent fluctuations, revealing nonextensivity influences on critical properties.

Contribution

It generalizes the Curie-Weiss law using nonextensive statistics, incorporating temperature-dependent fluctuations and long-range interactions.

Findings

Critical temperature depends on the nonextensivity parameter (1-q)

Curie-Weiss constant is modified by nonextensivity

Extended law applies to mean field spin systems with long-range interactions

Abstract

In the framework of the Tsallis nonextensive statistical mechanics we study an assembly of N spins, first in a background magnetic field, and then assuming them to interact via a long-range homogeneous mean field. To take into account the spin fluctuations the dynamical field coefficient is considered to be linearly dependent on the temperature. The physical quantities are evaluated using a perturbative expansion in the nonextensivity parameter (1-q). The extended Curie-Weiss law in the mean field case has been generalized. The critical temperature and the Curie- Weiss constant are found to be dependent on the nonextensivity parameter (1-q).