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

F. W. S. Lima

doi:10.1142/s0129183108012686

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arXiv · 0802.1476

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

F. W. S. Lima

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Abstract

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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BibTeX RIS

F. W. S. Lima. 2008-02-11. Simulation of majority rule disturbed by power-law noise on directed and undirected Barabasi-Albert networks. https://doi.org/10.1142/s0129183108012686

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