scholarly journals Logarithmic finite-size scaling of the self-avoiding walk at four dimensions

2021 ◽  
Vol 104 (6) ◽  
Author(s):  
Sheng Fang ◽  
Youjin Deng ◽  
Zongzheng Zhou
Keyword(s):  
Finite Size ◽  
The Self ◽  
Finite Size Scaling ◽  
Four Dimensions ◽  
Size Scaling ◽  
Self Avoiding Walk

Finite-size scaling of the Ising model in four dimensions

1990 ◽  
Vol 41 (13) ◽  
pp. 9257-9263 ◽  
Author(s):  
Pik-Yin Lai ◽  
K. K. Mon
Keyword(s):  
Ising Model ◽  
Finite Size ◽  
Finite Size Scaling ◽  
Four Dimensions ◽  
Size Scaling

scholarly journals A NEW APPROACH TO DYNAMIC FINITE-SIZE SCALING

2003 ◽  
Vol 14 (07) ◽  
pp. 945-954 ◽  
Author(s):  
MEHMET DİLAVER ◽  
SEMRA GÜNDÜÇ ◽  
MERAL AYDIN ◽  
YİĞİT GÜNDÜÇ
Keyword(s):  
Three Dimensional ◽  
Finite Size ◽  
Taylor Series Expansion ◽  
Scaling Behavior ◽  
Dynamic Scaling ◽  
Finite Size Scaling ◽  
New Approach ◽  
Size Scaling ◽  
Dynamic Exponent ◽  
Good Agreement

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.

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