Lecture on the anomalous diffusion in Condensed Matter Physics
OAJ Materials and Devices
View Publication Info| Field | Value | |
| Title |
Lecture on the anomalous diffusion in Condensed Matter Physics
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| Creator |
Benhamou, Mabrouk
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| Subject |
Statistical Physics, Simulation
COMPLEX SYSTEMS, ANOMALOUS DIFFUSION, GENERALIZED LANGEVIN EQUATIONS, MEAN-SQUARE-DISPLACEMENT, VELOCITY-AUTOCORRELATION-FUNCTION, MOLECULAR DYNAMICS SIMULATION Molecular dynamics, Kinetic theory, Classical fluids, Statistical mechanics, Brownian motion |
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| Description |
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.
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| Publisher |
Collaborating Academics
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| Contributor |
No one
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| Date |
2018-08-27
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| Type |
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion Peer-reviewed Article |
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| Format |
application/pdf
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| Identifier |
http://caip.co-ac.com/index.php/materialsanddevices/article/view/66
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| Source |
Materials and Devices; Vol 3, No 2 (2018)
24953911 |
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| Language |
eng
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| Relation |
http://caip.co-ac.com/index.php/materialsanddevices/article/view/66/33
http://caip.co-ac.com/index.php/materialsanddevices/article/downloadSuppFile/66/10 http://caip.co-ac.com/index.php/materialsanddevices/article/downloadSuppFile/66/11 |
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| Rights |
Copyright (c) 2018 Mabrouk Benhamou
http://creativecommons.org/licenses/by-nc-nd/4.0 |
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