Ferromagnetic models for cooperative behavior: Revisiting Universality in complex phenomena

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

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arXiv · 1307.4984

Ferromagnetic models for cooperative behavior: Revisiting Universality in complex phenomena

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

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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).

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Elena Agliari, Adriano Barra, Andrea Galluzzi, Andrea Pizzoferrato, Daniele Tantari. 2013-07-23. Ferromagnetic models for cooperative behavior: Revisiting Universality in complex phenomena. https://arxiv.org/abs/1307.4984

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