The Emergence of Order in Many Element Systems

Einav, Amit

Abstract

Our work is dedicated to the introduction and investigation of a new asymptotic correlation relation in the field of mean field models and limits. This new notion, order (as opposed to chaos), revolves around a tendency for self organisation in a given system and is expected to be observed in biological and societal models. Beyond the definition of this new notion, our work will show its applicability, and propagation, in the so-called choose the Leader model.

Citation

Einav, A. (2024). The Emergence of Order in Many Element Systems. Journal of Statistical Physics, 191(7), Article 86. https://doi.org/10.1007/s10955-024-03307-7

• Journal Article Type: Article
• Acceptance Date: Jul 7, 2024
• Online Publication Date: Jul 13, 2024
• Publication Date: Jul 13, 2024
• Deposit Date: Jul 10, 2024
• Publicly Available Date: Jul 23, 2024
• Journal: Journal of Statistical Physics
• Print ISSN: 0022-4715
• Electronic ISSN: 1572-9613
• Publisher: Springer
• Peer Reviewed: Peer Reviewed
• Volume: 191
• Issue: 7
• Article Number: 86
• DOI: https://doi.org/10.1007/s10955-024-03307-7
• Keywords: Mean field limits, 92-10, 82C22, 35Q82, 60F99, 35B40, Asymptotic correlation, Order
• Public URL: https://durham-repository.worktribe.com/output/2523039