scholarly journals Dynamic scaling behavior of the space-fractional stochastic growth equation with correlated noise

2013 ◽  
Vol 62 (2) ◽  
pp. 020501
Author(s):  
Ma Jing-Jie ◽  
Xia Hui ◽  
Tang Gang
2003 ◽  
Vol 14 (07) ◽  
pp. 945-954 ◽  
Author(s):  
MEHMET DİLAVER ◽  
SEMRA GÜNDÜÇ ◽  
MERAL AYDIN ◽  
YİĞİT GÜNDÜÇ

In this work we have considered the Taylor series expansion of the dynamic scaling relation of the magnetization with respect to small initial magnetization values in order to study the dynamic scaling behavior of two- and three-dimensional Ising models. We have used the literature values of the critical exponents and of the new dynamic exponent x0 to observe the dynamic finite-size scaling behavior of the time evolution of the magnetization during early stages of the Monte Carlo simulation. For the three-dimensional Ising model we have also presented that this method opens the possibility of calculating z and x0 separately. Our results show good agreement with the literature values. Measurements done on lattices with different sizes seem to give very good scaling.


2001 ◽  
Vol 86 (8) ◽  
pp. 1570-1573 ◽  
Author(s):  
R. D. Narhe ◽  
M. D. Khandkar ◽  
K. P. Adhi ◽  
A. V. Limaye ◽  
S. R. Sainkar ◽  
...  

1992 ◽  
Vol 97 (12) ◽  
pp. 9291-9298 ◽  
Author(s):  
K. Kubota ◽  
N. Kuwahara ◽  
H. Eda ◽  
M. Sakazume ◽  
K. Takiwaki

1995 ◽  
Vol 74 (21) ◽  
pp. 4114-4117 ◽  
Author(s):  
Emmanuel Trizac ◽  
Jean-Pierre Hansen

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