# Cluster Monte Carlo and dynamical scaling for long-range interactions

Emilio Flores-Sola, Martin Weigel, Ralph Kenna, Bertrand Berche

Research output: Contribution to journalArticle

11 Citations (Scopus)

## Abstract

Many spin systems affected by critical slowing down can be efficiently simulated using cluster algorithms. Where such systems have long-range interactions, suitable formulations can additionally bring down the computational effort for each update from O($N^2$) to O($N\ln N$) or even O($N$), thus promising an even more dramatic computational speed-up. Here, we review the available algorithms and propose a new and particularly efficient single-cluster variant. The efficiency and dynamical scaling of the available algorithms are investigated for the Ising model with power-law decaying interactions.
Original language English 581 - 594 14 The European Physical Journal Special Topics 226 4 https://doi.org/10.1140/epjst/e2016-60338-3 Published - 5 Apr 2017

## Keywords

• cond-mat.stat-mech
• hep-lat
• physics.comp-ph