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).
Ferromagnetic models for cooperative behavior: Revisiting Universality in complex phenomena / Agliari, Elena; A., Barra; Galluzzi, Andrea; A., Pizzoferrato; Tantari, Daniele. - ELETTRONICO. - 6:(2014), pp. 73-86. (Intervento presentato al convegno Mathematical Models and Methods for Planet Heart tenutosi a Roma) [10.1007/978-3-319-02657-2_6].
Ferromagnetic models for cooperative behavior: Revisiting Universality in complex phenomena
AGLIARI, ELENA;A. Barra;GALLUZZI, ANDREA;TANTARI, DANIELE
2014
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).I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.