ISSN:
1572-9613
Keywords:
Ising
;
critical dynamics
;
spectral powers
;
queueing process
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract The Glauber kinetics of Ising spins is considered as a queueing process and simulated “event by event” as first proposed by Bortz, Kalos, and Lebowitz. The advantage of this algorithm compared to the standard single-flip Monte Carlo method is discussed for the situation of slowing down of dynamics. This process is used to generate fluctuations of magnetization and energy in the critical regimeT=Tc of two-dimensional Ising models. The analysis of these fluctuations leads to numerical determination of the critical exponents for dynamics: for the size dependence of correlation time atT c , and Μ for frequency dependence of the power spectrumS(ω)~ω −µ . From the finite-size scaling hypothesis, scaling relations are settled which are confirmed by this numerical experiment.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01012608
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