Determination of the random-walk dimension of fractals by means of NMR

1985 ◽  
Vol 32 (9) ◽  
pp. 6066-6066 ◽  
Author(s):  
Jayanth R. Banavar ◽  
Max Lipsicas ◽  
Jorge F. Willemsen
Keyword(s):  
Random Walk ◽  
Walk Dimension

A Note on Absorption Probabilities for a Random Walk Between a Reflecting and an Absorbing Barrier

1969 ◽  
Vol 6 (01) ◽  
pp. 224-226
Author(s):  
J.C. Hardin ◽  
A.L. Sweet
Keyword(s):  
Random Walk ◽  
Generating Functions ◽  
Absorption Probabilities ◽  
Explicit Expressions

Generating functions for the absorption probabilities for a random walk on the integers {0,1, …, b}, where 0 is an absorbing barrier and b a semi-reflecting barrier have been obtained by Weesakul [1] and Neuts [2]. However, determination of explicit expressions for the absorption probabilities from the generating functions is generally quite difficult. In this note, two cases where this is possible are presented.

scholarly journals The Determination Of Diffusive Tortuosity In Concrete Specimens Using X-Ray Microtomography

2015 ◽  
Vol 60 (2) ◽  
pp. 1115-1119 ◽  
Author(s):  
Z. Ranachowski ◽  
D. Jóźwiak-Niedźwiedzka ◽  
P. Ranachowski ◽  
M. Dąbrowski ◽  
S. Kudela ◽  
...  
Keyword(s):  
Random Walk ◽  
Three Dimensional ◽  
Micro Ct ◽  
Connectivity Analysis ◽  
Pore Connectivity ◽  
Cement Ratio ◽  
X Ray ◽  
Water To Cement Ratio ◽  
Random Walk Simulation

Abstract The paper presents a method of pore connectivity analysis applied to specimens of cement based composites differing in water to cement ratio. The method employed X-ray microtomography (micro-CT). Microtomography supplied digitized three-dimensional radiographs of small concrete specimens. The data derived from the radiographs were applied as an input into the application based on the algorithm called ‘random walk simulation’. As the result a parameter called diffusive tortuosity was established and compared with estimated porosity of examined specimens.

A Note on Absorption Probabilities for a Random Walk Between a Reflecting and an Absorbing Barrier

1969 ◽  
Vol 6 (1) ◽  
pp. 224-226 ◽  
Author(s):  
J.C. Hardin ◽  
A.L. Sweet
Keyword(s):  
Random Walk ◽  
Generating Functions ◽  
Absorption Probabilities ◽  
Explicit Expressions

Generating functions for the absorption probabilities for a random walk on the integers {0,1, …, b}, where 0 is an absorbing barrier and b a semi-reflecting barrier have been obtained by Weesakul [1] and Neuts [2]. However, determination of explicit expressions for the absorption probabilities from the generating functions is generally quite difficult. In this note, two cases where this is possible are presented.

ALTERNATIVE EXPERIMENTAL DETERMINATION OF WEAK LOCALIZATION OF LIGHT IN NANOSTRUCTURED MATERIALS

2002 ◽  
Vol 11 (03) ◽  
pp. 261-274 ◽  
Author(s):  
KOEN CLAYS ◽  
KURT WOSTYN ◽  
YUXIA ZHAO ◽  
ANDRÉ PERSOONS
Keyword(s):  
Random Walk ◽  
Free Path ◽  
Nanostructured Materials ◽  
Path Length ◽  
Dwell Time ◽  
Colloidal Crystals ◽  
Weak Localization ◽  
Free Path Length ◽  
Mean Free Path

An alternative experimental technique for the determination of weak localization of light in partially ordered nanostructured materials is proposed. The technique is based on the criterion for weak localization of light that the transport mean free path length of multiply scattered photons is reduced down to shorter than the wavelength of the light. This mean free path is calculated from the experimental dwell time of the photons in the scattering structure and by applying the photon random walk model using the diffusion approximation. The dwell time is experimentally determined by multifrequency phasefluorimetry. This technique is capable of providing corroborative intensity demodulation data that can be linked to the wavelength dependent transmission (optical bandgap) of colloidal crystals.

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