The mean field to Ising crossover in the critical behavior of polymer mixtures : a finite size scaling analysis of Monte Carlo simulations

1993 ◽  
Vol 3 (7) ◽  
pp. 1049-1073 ◽  
Author(s):  
H. P. Deutsch ◽  
K. Binder
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Critical Behavior ◽  
Mean Field ◽  
Finite Size ◽  
Scaling Analysis ◽  
Finite Size Scaling ◽  
Polymer Mixtures ◽  
Size Scaling ◽  
The Mean

scholarly journals Extrapolating Monte Carlo Simulations to Infinite Volume: Finite-Size Scaling atξ/L≫1

1995 ◽  
Vol 74 (15) ◽  
pp. 2969-2972 ◽  
Author(s):  
Sergio Caracciolo ◽  
Robert G. Edwards ◽  
Sabino José Ferreira ◽  
Andrea Pelissetto ◽  
Alan D. Sokal
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Finite Size ◽  
Infinite Volume ◽  
Finite Size Scaling ◽  
Size Scaling

scholarly journals FIBERS ON A GRAPH WITH LOCAL LOAD SHARING

2007 ◽  
Vol 18 (06) ◽  
pp. 919-926 ◽  
Author(s):  
UMA DIVAKARAN ◽  
AMIT DUTTA
Keyword(s):  
Critical Behavior ◽  
Mean Field ◽  
Finite Size ◽  
Load Sharing ◽  
Local Load ◽  
Finite Size Scaling ◽  
Scaling Method ◽  
Avalanche Size ◽  
Fiber Bundle Model ◽  
The Mean

We study a random fiber bundle model with tips of the fibers placed on a graph having co-ordination number 3. These fibers follow local load sharing with uniformly distributed threshold strengths of the fibers. We have studied the critical behavior of the model numerically using a finite size scaling method and the mean field critical behavior is established. The avalanche size distribution is also found to exhibit a mean field nature in the asymptotic limit.

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