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Dynamic phase transition properties and metamagnetic anomalies of kinetic Ising model in the presence of additive white noise

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  • Yüksel, Yusuf

Abstract

Using Monte Carlo simulations based on the Metropolis algorithm, we investigate the dynamic phase transition properties of a kinetic Ising model driven by a sinusoidally oscillating magnetic field in the presence of additive white noise, as well as a time independent bias term. By performing a detailed finite-size scaling analysis, we estimate the critical exponent ratios corresponding to the dynamic order parameter and the associated scaled variance, and we calculate the critical field below which the system exhibits a dynamic ferromagnetic phase. As a general result, we show that for a noisy system, DPT does not fall into the conventional universality class of the two-dimensional kinetic Ising model. Finally, as a peculiar phenomenon observed in dynamic phase transitions, we explore the evolution of anomalous metamagnetic fluctuations as a function of the noise. Our results show evidence that the bias field at which the metamagnetic anomaly occurs tends to extend towards the oscillation amplitude of the periodic magnetic field.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:580:y:2021:i:c:s0378437121004453
    DOI: 10.1016/j.physa.2021.126172
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    References listed on IDEAS

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    1. Acharyya, Muktish, 1997. "Nonequilibrium-phase transition and ‘specific-heat’ singularity in the kinetic Ising model: a Monte Carlo study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 235(3), pages 469-472.
    2. 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.
    3. Shi, Xiaoling & Liu, Peisheng, 2019. "Metamagnetic anomalies in the kinetic Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    4. Muktish Acharyya,, 1998. "Comparison of mean-field and Monte Carlo approaches to dynamic hysteresis in Ising ferromagnets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 253(1), pages 199-204.
    5. Vatansever, Erol, 2018. "Dynamically order–disorder transition in the kinetic Ising model on a triangular lattice driven by a time dependent magnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 511(C), pages 232-239.
    6. Acharyya, Muktish, 1998. "Zero-temperature dynamic transition in the random field Ising model: a Monte Carlo study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 252(1), pages 151-158.
    7. Ekaterina Korobkova & Thierry Emonet & Jose M. G. Vilar & Thomas S. Shimizu & Philippe Cluzel, 2004. "From molecular noise to behavioural variability in a single bacterium," Nature, Nature, vol. 428(6982), pages 574-578, April.
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