Ferromagnetic models for cooperative behavior: Revisiting universality in complex phenomena

Elena Agliari, Adriano Barra, Andrea Galluzzi, Andrea Pizzoferrato, Daniele Tantari

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Ferromagnetic models are harmonic oscillators in statistical mechanics. Beyond their original scope in tackling phase transition and symmetry breaking in theoretical physics, they are nowadays experiencing a renewal applicative interest as they capture the main features of disparate complex phenomena, whose quantitative investigation in the past were forbidden due to data lacking. After a streamlined introduction to these models, suitably embedded on random graphs, aim of the present paper is to show their importance in a plethora of widespread research fields, so to highlight the unifying framework reached by using statistical mechanics as a tool for their investigation. Specifically we will deal with examples stemmed from sociology, chemistry, cybernetics (electronics) and biology (immunology).

Original languageEnglish
Title of host publicationMathematical Models and Methods for Planet Earth
PublisherSpringer
Pages73-86
Number of pages14
Volume6
DOIs
Publication statusPublished - 31 Dec 2014

Publication series

NameSpringer INdAM Series
ISSN (Print)2281-518X

ASJC Scopus subject areas

  • Mathematics(all)

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