Critical dynamics of cluster algorithms in the random-bond Ising model
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Physical Soc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present work, we present an extensive Monte Carlo simulation study on the dynamical properties of the two-dimensional random -bond Ising model. The correlation time tau of the Swendsen-Wang and Wolff cluster algorithms is calculated at the critical point. The dynamic critical exponent z of both algorithms is also measured by using the numerical data for several lattice sizes up to L = 512. It is found for both algorithms that the autocorrelation time decreases considerably and the critical slowing -down effect reduces upon the introduction of bond disorder. Additionally, simulations with the Metropolis algorithm are performed, and the critical slowingdown effect is observed to be more pronounced in the presence of disorder, confirming the previous findings in the literature. Moreover, the existence of the non -self -averaging property of the model is demonstrated by calculating the scaled form of the standard deviation of autocorrelation times. Finally, the critical exponent ratio of the magnetic susceptibility is estimated by using the average cluster size of the Wolff algorithm.
Açıklama
Anahtar Kelimeler
Critical-Behavior, Autocorrelations, Exponents, Phase, Heat
Kaynak
Physical Review E
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
109
Sayı
2
