Discrete simulation of colored noise and stochastic processes and 1/f/sup α/ power law noise generation

1995 ◽  
Vol 83 (5) ◽  
pp. 802-827 ◽  
Author(s):  
N.J. Kasdin
Keyword(s):  
Stochastic Processes ◽  
Power Law ◽  
Colored Noise ◽  
Noise Generation ◽  
Discrete Simulation ◽  
Power Law Noise

scholarly journals SIMULATION OF MAJORITY RULE DISTURBED BY POWER-LAW NOISE ON DIRECTED AND UNDIRECTED BARABÁSI–ALBERT NETWORKS

2008 ◽  
Vol 19 (07) ◽  
pp. 1063-1067 ◽  
Author(s):  
F. W. S. LIMA
Keyword(s):  
Power Law ◽  
Majority Rule ◽  
Noise Spectrum ◽  
Square Lattice ◽  
Complex Environment ◽  
Time Step ◽  
Disorder Phase Transition ◽  
Self Organized ◽  
Self Organized Criticality ◽  
Power Law Noise

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.

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