Anomalous Diffusion In Disordered Media Statistical Mechanisms Models And Physical Applications Pdf

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Statistical-thermodynamical foundations of anomalous diffusion. It is shown that Tsallis's generalized statistics provides a natural frame for the statistical-thermodynamical description of anomalous diffusion.

The software for the numerical simulations were written in Python 2.

Jean-Philippe Bouchaud born is a French physicist. He is a member of the French Academy of Sciences. He then worked for the French National Center for Scientific Research , in particular on liquid Helium 3 and diffusion in random media. He is now the Chairman of CFM. His work covers the physics of disordered and glassy systems, granular materials, the statistics of price formation, stock market fluctuations and the modelling of financial risks.

Langevin equation in complex media and anomalous diffusion

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Articles citing this article

Functionals of Brownian motion have diverse applications in physics, mathematics, and other fields. In recent years there is a growing interest in particular functionals of non-Brownian motion, or anomalous diffusion, but no equation existed for their PDF. Here, we derive a fractional generalization of the Feynman-Kac equation for functionals of anomalous paths based on sub-diffusive continuous-time random walk. Solutions are presented for a wide number of applications including the occupation time in half space and in an interval, the first passage time, the maximal displacement, and the hitting probability. This is a preview of subscription content, access via your institution. Rent this article via DeepDyve. Majumdar, S.


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Anomalous Diffusion: A Basic Mechanism for the Evolution of Inhomogeneous Systems

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  1. Cirinea P. 04.01.2021 at 00:36

    In this article we review classical and recent results in anomalous diffusion and provide mechanisms useful for the study of the fundamentals of certain processes, mainly in condensed matter physics, chemistry and biology.