TY - JOUR
T1 - Stochastic cutoff method for long-range interacting systems
AU - Sasaki, Munetaka
AU - Matsubara, Fumitaka
PY - 2008/2/1
Y1 - 2008/2/1
N2 - A new Monte Carlo method for long-range interacting systems is presented. This method involves eliminating interactions stochastically with the detailed balance condition satisfied. When pairwise interactions Vij of an N-particle system decrease with the distance as rij -α, computational time per Monte Carlo step is O(N) for α ≥ d and O(N2-α/d) for α < d, where d is the spatial dimension. We apply the method to a two-dimensional magnetic dipolar system. The method enables us to treat a huge system of 2562 spins within a reasonable computational time, and reproduces a circular order originating from long-range dipolar interactions.
AB - A new Monte Carlo method for long-range interacting systems is presented. This method involves eliminating interactions stochastically with the detailed balance condition satisfied. When pairwise interactions Vij of an N-particle system decrease with the distance as rij -α, computational time per Monte Carlo step is O(N) for α ≥ d and O(N2-α/d) for α < d, where d is the spatial dimension. We apply the method to a two-dimensional magnetic dipolar system. The method enables us to treat a huge system of 2562 spins within a reasonable computational time, and reproduces a circular order originating from long-range dipolar interactions.
KW - Algorithm
KW - Dipolar interactions
KW - Long-range interaction
KW - Monte Carlo
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U2 - 10.1143/JPSJ.77.024004
DO - 10.1143/JPSJ.77.024004
M3 - Article
AN - SCOPUS:54349109125
VL - 77
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 2
M1 - 024004
ER -