SIMULATION OF MAJORITY RULE DISTURBED BY POWER-LAW NOISE ON DIRECTED AND UNDIRECTED BARABÁSI–ALBERT NETWORKS
2008 ◽
Vol 19
(07)
◽
pp. 1063-1067
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Keyword(s):
On directed and undirected Barabási–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 Barabási–Albert networks the magnetisation tends to zero exponentially and undirected Barabási–Albert networks remain constant.
Keyword(s):
2004 ◽
Vol 37
(42)
◽
pp. L523-L529
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1995 ◽
Vol 50
(9-10)
◽
pp. 739-740
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Keyword(s):
1993 ◽
Vol 07
(01n03)
◽
pp. 934-937
◽
1999 ◽
Vol 09
(12)
◽
pp. 2249-2255
◽
2010 ◽
Vol 368
(1910)
◽
pp. 131-144
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Keyword(s):