Simulation of majority rule disturbed by power-law noise on directed and undirected Barabasi-Albert networks

Details Simulation of majority rule disturbed by power-law noise on directed and undirected Barabasi-Albert networks Simulation of majority rule disturbed by power-law noise on directed and undirected Barabasi-Albert networks

2008-02-11

arxiv.org/abs/0802.1476v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages including many figures, for Int. J. Mod. Phys. C

Scientific paper

10.1142/S0129183108012686

On directed and undirected Barabasi-Albert networks the Ising model with spin S=1/2 in the presence of a kind of noise is now studied through Monte Carlo simulations. The noise spectrum P(n) follows a power law, where P(n) is the probability of flipping randomly select n spins at each time step. The noise spectrum P(n) is introduced to mimic the self-organized criticality as a model influence of a complex environment. In this model, different from the square lattice, the order-disorder phase transition of the order parameter is not observed. For directed Barabasi-Albert networks the magnetisation tends to zero exponentially and for undirected Barabasi-Albert networks, it remains constant.

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