Abstract
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.
| Original language | English |
|---|---|
| Article number | 024004 |
| Journal | journal of the physical society of japan |
| Volume | 77 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2008 Feb 1 |
Keywords
- Algorithm
- Dipolar interactions
- Long-range interaction
- Monte Carlo
ASJC Scopus subject areas
- Physics and Astronomy(all)
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Sasaki, M., & Matsubara, F. (2008). Stochastic cutoff method for long-range interacting systems. journal of the physical society of japan, 77(2), [024004]. https://doi.org/10.1143/JPSJ.77.024004