Monte Carlo Studies of the p-Spin Models οn Scale-Free Hypernetworks
Monte Carlo Studies of the p-Spin Models οn Scale-Free Hypernetworks
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DOI：
10.12693/aphyspola.123.564
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发表时间：
2013-03
影响因子：
0.7
通讯作者：
A. Krawiecki
中科院分区：
文献类型：
--
作者：
A. Krawiecki
Faculty of Physics, Warsaw University of Technology, Koszykowa 75, PL-00-662 Warsaw, Poland 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 di erent topologies of the obtained hypernetworks, there are several or even in nitely many disordered (glassy) states with the same energy. For various network topologies quantities such as the speci c 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.
