Real-space, mean-field algorithm to numerically calculate long-range interactions

A. Cadilhe and B.V. Costa

Physica A: Statistical Mechanics and its Applications, 2016, vol. 444, issue C, 327-335

Abstract: Long-range interactions are known to be of difficult treatment in statistical mechanics models. There are some approaches that introduce a cutoff in the interactions or make use of reaction field approaches. However, those treatments suffer the illness of being of limited use, in particular close to phase transitions. The use of open boundary conditions allows the sum of the long-range interactions over the entire system to be done, however, this approach demands a sum over all degrees of freedom in the system, which makes a numerical treatment prohibitive. Techniques like the Ewald summation or fast multipole expansion account for the exact interactions but are still limited to a few thousands of particles.

Keywords: Algorithm; Long-range interactions; Dipolar interaction (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:444:y:2016:i:c:p:327-335

DOI: 10.1016/j.physa.2015.10.032

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