Javarone, Marco A., Marinazzo, Daniele (2018) Dilution of Ferromagnets via a Random Graph-Based Strategy. Complexity, 2018 . Article ID 2845031. ISSN 1076-2787. (doi:10.1155/2018/2845031) (KAR id:66766)
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Official URL: https://doi.org/10.1155/2018/2845031 |
Abstract
Te dynamics and behavior of ferromagnets have a great relevance even beyond the domain of statistical physics. In this work, we
propose a Monte Carlo method, based on random graphs, for modeling their dilution. In particular, we focus on ferromagnets with
dimension D?4, which can be approximated by the Curie-Weiss model. Since the latter has as graphic counterpart, a complete
graph, a dilution can be in this case viewed as a pruning process. Hence, in order to exploit this mapping, the proposed strategy
uses a modifed version of the Erdos-Renyi graph model. In doing so, we are able both to simulate a continuous dilution and to ?
realize diluted ferromagnets in one step. Te proposed strategy is studied by means of numerical simulations, aiming to analyze
main properties and equilibria of the resulting diluted ferromagnets. To conclude, we also provide a brief description of further
applications of our strategy in the field of complex networks.
Item Type: | Article |
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DOI/Identification number: | 10.1155/2018/2845031 |
Uncontrolled keywords: | statistical physics, networks, monte carlo |
Subjects: |
Q Science > QC Physics > QC173.45 Condensed Matter Q Science > QA Mathematics (inc Computing science) > QA273 Probabilities Q Science > QA Mathematics (inc Computing science) > QA 76 Software, computer programming, > QA76.87 Neural computers, neural networks |
Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Computing |
Depositing User: | M.A. Javarone |
Date Deposited: | 17 Apr 2018 11:41 UTC |
Last Modified: | 04 Mar 2024 15:25 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/66766 (The current URI for this page, for reference purposes) |
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