Cooperative Evolution — a new algorithm for the investigation of disordered structures via Monte Carlo modelling

2005 ◽  
Vol 220 (12/2005) ◽  
Author(s):  
Thomas Weber
Keyword(s):  
Monte Carlo ◽  
Cooperative Evolution ◽  
Disordered Structures

ANOMALOUS RELAXATION IN FRACTAL AND DISORDERED STRUCTURES

1996 ◽  
Vol 10 (26) ◽  
pp. 3561-3568 ◽  
Author(s):  
S. FUJIWARA ◽  
F. YONEZAWA
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Exponential Type ◽  
Point Of View ◽  
Interesting Aspect ◽  
Fractal Structures ◽  
Physical Systems ◽  
Disordered Structures ◽  
Relaxation Functions ◽  
Anomalous Relaxation

For the purpose of clarifying the mechanisms of the anomalous relaxation, we carry out the Monte Carlo simulations of random walks in fractal and disordered structures. From our calculations of the relaxation functions and the complex susceptibilities, we find that the anomalous relaxation is of the Cole-Cole type in fractal structures while it is of the stretched-exponential type in non-fractal disordered structures. A most interesting aspect indicated by the results of our work is that the concept of “fractal”, originally introduced from purely mathematical point of view, is shown to play an important role in understanding some properties of realistic physical systems.

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