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

Moncef Ati (), Cristian Enachescu and Rachid Bouamrane
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Moncef Ati: LEPM, Faculté de physique, Université des Sciences et de la Technologie d’Oran Mohamed Boudiaf, USTO-MB
Cristian Enachescu: Faculty of Physics, Alexandru Ioan Cuza University
Rachid Bouamrane: LEPM, Faculté de physique, Université des Sciences et de la Technologie d’Oran Mohamed Boudiaf, USTO-MB

The European Physical Journal B: Condensed Matter and Complex Systems, 2017, vol. 90, issue 7, 1-8

Abstract: 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 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1140/epjb/e2017-80070-3

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