Monte Carlo calculations of the ideal and modified anhysteretic remanent magnetisation of interacting fine particles: Application to AC bias recording

1985 ◽  
Vol 51 (1-3) ◽  
pp. 190-198 ◽  
Author(s):  
A. Lyberatos
Author(s):  
Frederick James ◽  
Lorenzo Moneta

AbstractThis is a review of pseudorandom number generators (RNG’s) of the highest quality, suitable for use in the most demanding Monte Carlo calculations. All the RNG’s we recommend here are based on the Kolmogorov–Anosov theory of mixing in classical mechanical systems, which guarantees under certain conditions and in certain asymptotic limits, that points on the trajectories of these systems can be used to produce random number sequences of exceptional quality. We outline this theory of mixing and establish criteria for deciding which RNG’s are sufficiently good approximations to the ideal mathematical systems that guarantee highest quality. The well-known RANLUX (at highest luxury level) and its recent variant RANLUX++ are seen to meet our criteria, and some of the proposed versions of MIXMAX can be modified easily to meet the same criteria.


2021 ◽  
Vol 134 ◽  
pp. 103688
Author(s):  
Ihsan Farouki ◽  
Rashdan Malkawi ◽  
Sayel Marashdeh

2006 ◽  
Vol 151 (1) ◽  
pp. 295-298 ◽  
Author(s):  
B. Mitrica ◽  
I.M. Brancus ◽  
H. Rebel ◽  
J. Wentz ◽  
A. Bercuci ◽  
...  

2002 ◽  
Vol 66 (4) ◽  
Author(s):  
Steven C. Pieper ◽  
K. Varga ◽  
R. B. Wiringa

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