scholarly journals Monte Carlo Studies of the Ising Antiferromagnet with a Ferromagnetic Mean-field Term

2014 ◽  
Vol 57 ◽  
pp. 20-23 ◽  
Author(s):  
Gregory Brown ◽  
Per Arne Rikvold ◽  
Seiji Miyashita
2018 ◽  
Vol 32 (6) ◽  
pp. 1769-1779 ◽  
Author(s):  
M. Karimou ◽  
R. A. Yessoufou ◽  
G. D. Ngantso ◽  
F. Hontinfinde ◽  
A. Benyoussef

1994 ◽  
Vol 366 ◽  
Author(s):  
Anna Lin ◽  
Raoul Kopelman

ABSTRACTThe anomalous rate laws of diffusion limited elementary reactions in low dimensions have garnered attention over the past decade as researchers have become aware that the mean field approximation utilized in traditional kinetic rate equations is not valid in low and fractal dimensions. We use Monte Carlo simulations to study a diffusion limited system simultaneously undergoing A+B-->0 and A+A--> 0 reactions, a common situation in photochemistry. We are studying how this coupled system affects the attenuation of local fluctuations and thus the rate laws of the system in low dimensions and how these results compare to the mean field rate laws. Our results give useful guidelines for studying this type of reaction system experimentally.


1982 ◽  
Vol 200 (1) ◽  
pp. 211-231 ◽  
Author(s):  
John B. Kogut ◽  
Michael Snow ◽  
Michael Stone

1983 ◽  
Vol 27 (2) ◽  
pp. 606-627 ◽  
Author(s):  
Hafez M. A. Radi ◽  
John O. Rasmussen ◽  
Kenneth A. Frankel ◽  
John P. Sullivan ◽  
H. C. Song

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