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Title: Fractal dimension of the trajectory of a single particle diffusing in crowded media
Author: Pitulice, Laura
Craciun, Dana
Vilaseca i Font, Eudald
Madurga Díez, Sergio
Pastor, Isabel
Mas i Pujadas, Francesc
Isvoran, Adriana
Keywords: Mètode de Montecarlo
Moviment brownià
Monte Carlo method
Brownian movements
Issue Date: 2016
Abstract: Using Monte Carlo simulations we have modeled the diffusion of a single particle in twoand three-dimensional lattices with different crowding conditions given by distinct obstacles size and density. All registered data emphasize that diffusion process is anomalous and diffusing particle describes fractal trajectories. We have introduced a new time-scale fractal dimension, dm, which is related to the anomalous diffusion exponent, α. This allows us to relate the well-known length-scale fractal dimension of the random walk, dw, to the new one introduced here as a time-scale fractal dimension. Moreover, the 3D simulations consider similar conditions to those used in our previous FRAP experiments in order to reveal the relationship between the length and time-scale fractal dimensions.
It is part of: Romanian Journal Of Physics, 2016, vol. 61, num. 7-8, p. 1276-1286
ISSN: 1221-146X
Appears in Collections:Articles publicats en revistes (Ciència dels Materials i Química Física)

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