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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.

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Authors and Affiliations

  1. LEPM, Faculté de physique, Université des Sciences et de la Technologie d’Oran Mohamed Boudiaf, USTO-MB, BP 1505, EL M’naouer, 31000, Oran, Algeria

    Moncef Ati & Rachid Bouamrane

  2. Faculty of Physics, Alexandru Ioan Cuza University, 700506, Iasi, Roumania

    Cristian Enachescu

Authors
  1. Moncef Ati
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  2. Cristian Enachescu
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  3. Rachid Bouamrane
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Correspondence to Moncef Ati.

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Ati, M., Enachescu, C. & Bouamrane, R. Langevin dynamics simulation of a one-dimensional linear spin chain with long-range interactions. Eur. Phys. J. B 90, 133 (2017). https://doi.org/10.1140/epjb/e2017-80070-3

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  • DOI: https://doi.org/10.1140/epjb/e2017-80070-3

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