Open AccessLecture on the anomalous diffusion in Condensed Matter Physics
Author(s) -
M. Benhamou
Publication year - 2018
Publication title -
materials and devices
Language(s) - English
Resource type - Journals
ISSN - 2495-3911
DOI - 10.23647/ca.md20180730
Subject(s) - mean squared displacement , anomalous diffusion , diffusion , brownian motion , physics , autocorrelation , statistical physics , displacement (psychology) , square root , particle (ecology) , diffusion process , square (algebra) , langevin equation , langevin dynamics , molecular dynamics , thermodynamics , mathematics , quantum mechanics , statistics , geometry , psychology , knowledge management , innovation diffusion , oceanography , geology , computer science , psychotherapist
Diffusion is a natural or artificial process that governs many phenomena in nature. The most known diffusion is the Brownian or normal motion, where the mean-square-displacement of the tracer (diffusive particle among others) increases as the square-root of time. It is not the case, however, for complex systems, where the diffusion is rather slow, because at small-scales, these media present an heterogenous structure. This kind of slow motion is called subdiffusion, where the associated mean-square-displacement increases in time, with a non trivial exponent, alpha, whose value is between 0 and 1. In this review paper, we report on new trends dealing with the study of the anomalous diffusion in Condensed Matter Physics. The study is achieved using a theoretical approach that is based on a Generalized Langevin Equation. As particular crowded systems, we choose the so-called Pickering emulsions (oil-in-water), and we are interested in how the dispersed droplets (protected by small solid charged nanoparticles) can diffuse in the continuous phase (water). Dynamic study is accomplished through the mean-square-displacement and the velocity-autocorrelation-function. Finally, a comparison with Molecular Dynamics data is made.