Anomalous diffusion in a variable area whose boundary moves with a constant speed
نویسندگان
چکیده
منابع مشابه
Anomalous diffusion with absorbing boundary.
In a very long Gaussian polymer on time scales shorter than the maximal relaxation time, the mean squared distance traveled by a tagged monomer grows as approximately t(1/2) . We analyze such subdiffusive behavior in the presence of one or two absorbing boundaries and demonstrate the differences between this process and the subdiffusion described by the fractional Fokker-Planck equation. In par...
متن کاملDiffusion at constant speed in a model phase space
We reconsider the problem of diffusion of particles at constant speed and present a generalization of the Telegrapher process to higher dimensional stochastic media (d > 1), where the particle can move along 2 d directions. We derive the equations for the probability density function using the " formulae of differentiation " of Shapiro and Loginov. The model is an advancement over similiar mode...
متن کاملAnomalous diffusion in presence of boundary conditions
2014 Anomalous diffusion in presence of a (fractal) boundary is investigated. Asymptotic behaviour of the survival probability and current through an absorbing boundary are exactly calculated in specific examples. They agree with recent findings related with anomalous Warburg impedance experiments. The autocorrelation function for sites near the boundary is carefully discussed ; in presence of ...
متن کاملAnomalous and Apparently Anomalous Diffusion in the Area of Neurophysiology
1. Introduction In the central nervous system information is transmitted from neuron to neuron due to functional contacts, or synapses, where a chemical intermediary, or neurotransmitter, releases following electrical signals in presynaptic cells; its binding to surface receptors triggers an influx of ions into the postsynaptic cells causing the shift of membrane potential away from the resting...
متن کاملMoving boundary problems governed by anomalous diffusion.
Anomalous diffusion can be characterized by a mean-squared displacement 〈x(2)(t)〉 that is proportional to t(α) where α≠1. A class of one-dimensional moving boundary problems is investigated that involves one or more regions governed by anomalous diffusion, specifically subdiffusion (α<1). A novel numerical method is developed to handle the moving interface as well as the singular history kernel...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Open Journal of Applied Sciences
سال: 2012
ISSN: 2165-3917,2165-3925
DOI: 10.4236/ojapps.2012.24b042