Transient Behavior of Damage Spreading in the Two-Dimensional Blume-Capel Ferromagnet

Acharyya A. B., Acharyya M., VATANSEVER E., Fytas N. G.

JOURNAL OF STATISTICAL PHYSICS, vol.190, no.1, 2023 (SCI-Expanded, Scopus) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 190 Issue: 1
  • Publication Date: 2023
  • Doi Number: 10.1007/s10955-022-03012-3
  • Journal Name: JOURNAL OF STATISTICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, MathSciNet, zbMATH
  • Keywords: Blume-Capel model, Anisotropy, Monte Carlo method, Damage spreading, Metropolis algorithm, Glauber dynamics
  • Dokuz Eylül University Affiliated: Yes

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.