Phase diagram of a 2D Ising model within a nonextensive approach

abstract

In this work we report Monte Carlo simulations of a 2D Ising model, in which the statistics of the Metropolis algorithm is replaced by the nonextensive one. We compute the magnetization and show that phase transitions are present for q not equal 1. A q-phase diagram (critical temperature vs. the entropic parameter q) is built and exhibits some interesting features, such as phases which are governed by the value of the entropic index q. It is shown that such phases favors some energy levels of magnetization states. It is also shown that the contribution of the Tsallis cutoff is capital to the existence of phase transitions.

keywords

LONG-RANGE INTERACTIONS; TSALLIS STATISTICS; MAGNETIC SYSTEMS; THERMOSTATISTICS; TEMPERATURE; THERMODYNAMICS; SIMULATION; MECHANICS; EVIDENCES; PRESSURE

subject category

Physics

authors

Soares-Pinto, DO; Oliveira, IS; Reis, MS

Groups

Share this project:

Related Publications

We use cookies for marketing activities and to offer you a better experience. By clicking “Accept Cookies” you agree with our cookie policy. Read about how we use cookies by clicking "Privacy and Cookie Policy".