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Dynamical response of the Ising model to the time dependent magnetic field with white noise

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  • Akıncı, Ümit

Abstract

The effect of the white noise in time dependent magnetic field on the dynamic behavior of the Ising model has been investigated within the effective field theory based on Glauber type of stochastic process. Discrete white noise has been chosen from both Gaussian and uniform probability distributions. Detailed investigation on probability distribution of dynamical order parameter results that, both type of noise distributions yield the same probability distribution related to the dynamical order parameter, namely Gaussian probability distribution. The variation of the parameters that describe the probability distribution of dynamical order parameter (mean value and standard deviation) with temperature and strength of the noise have been inspected. Also, it has been shown that, rising strength of the noise can induce dynamical phase transition in the system.

Suggested Citation

  • Akıncı, Ümit, 2018. "Dynamical response of the Ising model to the time dependent magnetic field with white noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 242-250.
    • Handle: RePEc:eee:phsmap:v:494:y:2018:i:c:p:242-250
    DOI: 10.1016/j.physa.2017.12.045
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    Cited by:

    1. Yüksel, Yusuf, 2021. "Dynamic phase transition properties and metamagnetic anomalies of kinetic Ising model in the presence of additive white noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 580(C).

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