Finite-size scaling effects of chemically induced transformations: From T12‑carbon to a composite carbon-cage structure

2022 ◽  
pp. 108829
Author(s):  
Ying Zhu ◽  
Shulong Zhang ◽  
Jiongjiong Xu ◽  
Lei Fan ◽  
Xiaohua Yu ◽  
...  
Keyword(s):  
Finite Size ◽  
Finite Size Scaling ◽  
Scaling Effects ◽  
Cage Structure ◽  
Carbon Cage ◽  
Size Scaling ◽  
Chemically Induced ◽  
Composite Carbon

Finite size scaling effects in dynamics

1987 ◽  
Vol 280 ◽  
pp. 340-354 ◽  
Author(s):  
Yadin Y. Goldschmidt
Keyword(s):  
Finite Size ◽  
Finite Size Scaling ◽  
Scaling Effects ◽  
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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