English

Ising model on two connected Barabasi-Albert networks

Disordered Systems and Neural Networks 2009-11-11 v1 Statistical Mechanics

Abstract

We investigate analytically the behavior of Ising model on two connected Barabasi-Albert networks. Depending on relative ordering of both networks there are two possible phases corresponding to parallel or antiparallel alingment of spins in both networks. A difference between critical temperatures of both phases disappears in the limit of vanishing inter-network coupling for identical networks. The analytic predictions are confirmed by numerical simulations.

Keywords

Cite

@article{arxiv.cond-mat/0603693,
  title  = {Ising model on two connected Barabasi-Albert networks},
  author = {Krzysztof Suchecki and Janusz A. Holyst},
  journal= {arXiv preprint arXiv:cond-mat/0603693},
  year   = {2009}
}

Comments

6 pages including 6 figures

R2 v1 2026-07-22T11:30:19.397Z