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Abstract

Research in Medical & Engineering Sciences

Ising Model in One-Dimensionalon Directed Small- World Networks

  • Open or Close FWS Lima*

    Departamento de Física, Universidade Federal do Piauí, Brazil

    *Corresponding author: FWS Lima, Dietrich Stauffer Computational Physics Lab, Departamento de Física, Universidade Federal do Piauí, 64049-550, Teresina-PI, Brazil

Submission: December 07, 2017; Published: December 21, 2017

DOI: 10.31031/RMES.2017.03.000553

ISSN : 2576-8816
Volume3 Issue1

Abstract

We investigate the critical properties of the Ising model one-dimensional (1D) on directed small-world networks. This Ising mode is studied by applying the Monte Carlo method. We calculate the critical points, as well as the critical exponents ratio, γ/v, β/v and 1/v. We find that this systems present identical exponents to the Ising and Majority-vote model on Solomon networks (1D) and are of different universality class as the regular twodimensional ferromagnetic model. Our results are in agreement with the Grinstein criterion for models with up and down symmetry on regular lattices.

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