Langevin dynamics simulation of a one-dimensional linear spin chain with long-range interactions

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Abstract

In this paper we study the critical behavior of a simple one-dimensional rotor spin in the form of a linear chain with long-range interactions, using the mean field Langevin dynamics approach and in the presence of fluctuations added by a heat bath. We have computed the specific heat, the magnetic susceptibility, the Binder fourth-order cumulant, and the magnetization, and then we have calculated the critical exponents using finite-size scaling. In addition, we provide a relation between the thermal bath temperature and the temperature of the system. Our results confirm the existence of a second-order critical temperature in the one-dimensional chain of spins with long-range interaction.

Keywords

Statistical and Nonlinear Physics 

Copyright information

© EDP Sciences, SIF, Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  • Moncef Ati
    • 1
  • Cristian Enachescu
    • 2
  • Rachid Bouamrane
    • 1
  1. 1.LEPM, Faculté de physique, Université des Sciences et de la Technologie d’Oran Mohamed Boudiaf, USTO-MBOranAlgeria
  2. 2.Faculty of Physics, Alexandru Ioan Cuza UniversityIasiRoumania

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