1/1/2016 · Although there are many theoretical studies of the mean first-passage time (MFPT), most neglect the diffusive heterogeneity of real systems. We present exact analytical expressions for the MFPT and residence times of a pointlike particle diffusing in a spherically symmetric d-dimensional heterogeneous system composed of two concentric media with different diffusion coefficients with an …
We present exact analytical expressions for the MFPT and residence times of a pointlike particle diffusing in a spherically symmetric d-dimensional heterogeneous system composed of two concentric media with different diffusion coefficients with an absorbing inner.
partial differential equation models that describe the first passage time in non-radial geometries, for both homogeneous and heterogeneous materials symbolic software (e.g. Maple) that can solve the systems of boundary value problems that construct the perturbation solution.
First passage time distribution in heterogeneity controlled kinetics: going beyond the mean first passage time Aljaž Godec1,2 & Ralf Metzler1,3 The first passage is a generic concept for quantifying when a random quantity such as the position of a diffusing molecule or the value of a stock crosses a preset threshold (target) for the first time .
8/21/2020 · One of the most fundamental properties of diffusive transport is the concept of mean particle lifetime or mean exit time , which are particular applications of the concept of first passage time and provide the mean time required for a diffusing particle to reach an absorbing boundary. Most formal analysis of mean particle lifetime applies to …
The appropriate first-passage – time equations at the multiphase interface are derived to reduce significantly the computation time . The method is illustrated by calculating ? e for regular and random arrays of d-dimensional, nonoverlapping spheres (d=2 and 3) for a wide range of conductivity ratios (including perfectly insulating and …
A new Brownian motion simulation technique developed by Torquato and Kim [Appl. Phys. Lett. 55, 1847 (1989)] is applied and further developed to compute “exactly” the effective conductivity ? e of n-phase heterogeneous media having phase conductivities ? 1, ? 2, …
? n and volume fractions ? 1, ? 2, …
? n. The appropriate first passage time equations are derived for the first time to treat d-dimensional media.
First-Passage Times in d-Dimensional Heterogeneous Media ….. 240601 G. Vaccario, C. Antoine, and J. Talbot Anomalous Magnetotransport in Disordered Structures: Classical Edge-State Percolation ….. 240602 Walter Schirmacher, Benedikt Fuchs, Felix Höfling, and Thomas Franosch Experimental Observation of Two-Dimensional Anderson Localization …
First-Passage Times in d -Dimensional Heterogeneous Media . G. Vaccario, C. Antoine and J. Talbot. 9 December 2015 | Physical Review Letters, Vol. 115, No. 24. On a non-linear stochastic dynamic circuit using Stratonovich differential … First-Passage , Escape and Extremes. Jaume Masoliver; 20 October 2014 | Fluctuation and Noise Letters, Vol …
immobile mass transfer on non-Fickian transport using the continuous time ran-dom walk (CTRW) approach. The CTRW models solute transport in heteroge-neous media as a random walk in space and time . Our study is based on a d{dimensional CTRW model that accounts for both heterogeneous …
