Abstract
Relaxation phenomena on disordered structures are studied by using a random walk model. The model is able to describe essential features of the relaxation process in terms of a one-body picture with geometrical restrictions on the particles' motion. Two cases are considered: relaxation on regular lattices with disordered variables taken from a power-law distribution (these variables have different updating rules), and on a fractal lattice which is a percolation cluster near criticality. Quantities such as the relaxation function, particle density, and complex susceptibility are evaluated. Different types of relaxation mechanisms are found as a function of frequency for regular and fractal lattices. Also for a regular lattice, we see an interesting dependence of the relaxation quantities as a function of a disorder parameter which describes the decay of the power-law distribution from which variables are drawn. The model is able to reproduce the relaxation behavior commonly observed in experiments and typically fitted to empirical laws.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
