scholarly journals Crossover from anomalous to normal diffusion: truncated power-law noise correlations and applications to dynamics in lipid bilayers

2018 ◽  
Vol 20 (10) ◽  
pp. 103027 ◽  
Author(s):  
Daniel Molina-Garcia ◽  
Trifce Sandev ◽  
Hadiseh Safdari ◽  
Gianni Pagnini ◽  
Aleksei Chechkin ◽  
...  
2008 ◽  
Vol 19 (07) ◽  
pp. 1063-1067 ◽  
Author(s):  
F. W. S. LIMA

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.


Author(s):  
Massimo D'Apuzzo ◽  
Mauro D'Arco ◽  
Rosario Schiano Lo Moriello

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