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

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

2008-02-13

arxiv.org/abs/0802.1933v2

Eur. Phys. J. B 62, 337 (2008)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1140/epjb/e2008-00170-5

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 $q\neq 1$. 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 showed that the contribution of the Tsallis cutoff is essential to the existence of phase transitions.

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