Acharyya, Ajanta Bhowal and Acharyya, Muktish and Vatansever, Erol and Fytas, Nikolaos G (2023) Transient Behavior of Damage Spreading in the Two-Dimensional Blume–Capel Ferromagnet. Journal of Statistical Physics, 190 (1). DOI https://doi.org/10.1007/s10955-022-03012-3
Acharyya, Ajanta Bhowal and Acharyya, Muktish and Vatansever, Erol and Fytas, Nikolaos G (2023) Transient Behavior of Damage Spreading in the Two-Dimensional Blume–Capel Ferromagnet. Journal of Statistical Physics, 190 (1). DOI https://doi.org/10.1007/s10955-022-03012-3
Acharyya, Ajanta Bhowal and Acharyya, Muktish and Vatansever, Erol and Fytas, Nikolaos G (2023) Transient Behavior of Damage Spreading in the Two-Dimensional Blume–Capel Ferromagnet. Journal of Statistical Physics, 190 (1). DOI https://doi.org/10.1007/s10955-022-03012-3
Abstract
We study the transient behavior of damage propagation in the two-dimensional spin-1 Blume–Capel model using Monte Carlo simulations with Metropolis dynamics. We find that, for a particular region in the second-order transition regime of the crystal field–temperature phase diagram of the model, the average Hamming distance decreases exponentially with time in the weakly damaged system. Additionally, its rate of decay appears to depend linearly on a number of Hamiltonian parameters, namely the crystal field, temperature, applied magnetic field, but also on the amount of damage. Finally, a comparative study using Metropolis and Glauber dynamics indicates a slower decay rate of the average Hamming distance for the Glauber protocol.
Item Type: | Article |
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Uncontrolled Keywords: | Blume-Capel model; Anisotropy; Monte Carlo method; Damage spreading; Metropolis algorithm; Glauber dynamics |
Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematics, Statistics and Actuarial Science, School of |
SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
Depositing User: | Unnamed user with email elements@essex.ac.uk |
Date Deposited: | 01 Nov 2023 16:55 |
Last Modified: | 07 Aug 2024 17:47 |
URI: | http://repository.essex.ac.uk/id/eprint/36716 |
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