Ferromagnetic models for cooperative behavior: Revisiting universality in complex phenomena

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

doi:10.1007/978-3-319-02657-2_6

Ferromagnetic models for cooperative behavior: Revisiting universality in complex phenomena

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

Department of Mathematical Sciences

Research output: Chapter or section in a book/report/conference proceeding › Book chapter

1 Citation (SciVal)

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 language	English
Title of host publication	Mathematical Models and Methods for Planet Earth
Publisher	Springer
Pages	73-86
Number of pages	14
Volume	6
DOIs	https://doi.org/10.1007/978-3-319-02657-2_6
Publication status	Published - 31 Dec 2014

Publication series

Name	Springer INdAM Series
ISSN (Print)	2281-518X

Funding

Acknowledgements The authors acknowledge the FIRB grant RBFR08EKEV, Sapienza Univer-sitá di Roma, INFN and INdAM for financial support. The authors acknowledge the FIRB grant RBFR08EKEV, Sapienza Universitá di Roma, INFN and INdAM for financial support.

ASJC Scopus subject areas

General Mathematics

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10.1007/978-3-319-02657-2_6

https://arxiv.org/pdf/1307.4984.pdf

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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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AU - Barra, Adriano

AU - Galluzzi, Andrea

AU - Pizzoferrato, Andrea

AU - Tantari, Daniele

PY - 2014/12/31

Y1 - 2014/12/31

N2 - 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).

AB - 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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DO - 10.1007/978-3-319-02657-2_6

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AN - SCOPUS:84903633547

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T3 - Springer INdAM Series

SP - 73

EP - 86

BT - Mathematical Models and Methods for Planet Earth

PB - Springer

ER -

Ferromagnetic models for cooperative behavior: Revisiting universality in complex phenomena

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