Monte carlo studies of the p-spin models on scale-free hypernetworks

Andrzej Krawiecki


Results of Monte Carlo simulations of p-spin models on scale-free hypernetworks are presented. The hypernetworks are obtained using the preferential attachment algorithm, the spins are located in the nodes and the hyperedges connecting p nodes correspond to non-zero ferromagnetic interactions involving p spins. Such models show high degeneracy of the ground state: apart from the ferromagnetic state, depending on the parameters of the preferential attachment algorithm leading to different topologies of the obtained hypernetworks, there are several or even infinitely many disordered (glassy) states with the same energy. For various network topologies quantities such as the specific heat or magnetic susceptibility show maxima as functions of the temperature, which suggests the occurrence of the glassy or ferromagnetic phase transition. The models under study may serve as a starting point for modelling various forms of cooperation in social and economic sciences involving many-body rather than two-body interactions.
Author Andrzej Krawiecki (FP / PCSD)
Andrzej Krawiecki,,
- Physics of Complex Systems Divison
Journal seriesActa Physica Polonica A, ISSN 0587-4246
Issue year2013
Keywords in EnglishFerro-magnetic interactions; Ferromagnetic Phase Transition; Ferromagnetic state; Monte Carlo simulations; Monte Carlo study; Network topology; Preferential attachments; Two-body interactions, Electric network topology; Ferromagnetic materials; Ferromagnetism; Glass; Magnetic susceptibility; Monte Carlo methods, Algorithms
ASJC Classification3100 General Physics and Astronomy
Languageen angielski
Score (nominal)15
Score sourcejournalList
ScoreMinisterial score = 15.0, 13-02-2020, ArticleFromJournal
Ministerial score (2013-2016) = 15.0, 13-02-2020, ArticleFromJournal
Publication indicators WoS Citations = 2; GS Citations = 1.0; Scopus SNIP (Source Normalised Impact per Paper): 2013 = 0.564; WoS Impact Factor: 2013 = 0.604 (2) - 2013=0.511 (5)
Citation count*1 (2015-04-02)
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