scholarly journals From Markovian to non-Markovian stochastic processes: Diffusion coefficients with power law time dependence

2020 ◽  
Author(s):  
Karl Patrick S. Casas ◽  
Christopher C. Bernido
Keyword(s):  
Time Dependence ◽  
Stochastic Processes ◽  
Power Law ◽  
Diffusion Coefficients

scholarly journals On time-dependent diffusion coefficients arising from stochastic processes with memory

2017 ◽  
Author(s):  
M. Victoria Carpio-Bernido ◽  
Wilson I. Barredo ◽  
Christopher C. Bernido
Keyword(s):  
Stochastic Processes ◽  
Diffusion Coefficients ◽  
Time Dependent ◽  
With Memory

The power law time dependence of (R2) in nonequilibrium growth

1993 ◽  
Vol 5 (27) ◽  
pp. 4721-4728 ◽  
Author(s):  
M C Tringides ◽  
C M Soukoulis ◽  
P Lavenberg
Keyword(s):  
Time Dependence ◽  
Power Law ◽  
Nonequilibrium Growth

Empirical Dissolution Rate Law for the Glass R7T7 Contacting Halite- and Silica-Saturated Brines

1991 ◽  
Vol 257 ◽  
Author(s):  
B. Grambow ◽  
W. Lutze ◽  
R. Müller
Keyword(s):  
Time Dependence ◽  
Dissolution Rate ◽  
Diffusion Coefficients ◽  
Water Diffusion ◽  
Square Root ◽  
Borosilicate Glasses ◽  
Rate Law ◽  
Apparent Diffusion Coefficients ◽  
Apparent Diffusion

ABSTRACTWe report on the time dependence of release of glass constituents during static dissolution experiments with the COGEMA glass R7T7 in saline MgCl2 and NaCl dominated solutions at temperatures between 110 and 190°C. The experiments were performed at high S/V values to ensure silica saturation almost from the start of the tests. The results show a square root of time dependence indicating diffusion as rate-controlling with apparent diffusion coefficients similar to that of water diffusion in alkali silicate, borosilicate glasses or long-term weathered obsidians.

scholarly journals Effects of randomness on power law tails in multiplicatively interacting stochastic processes

2004 ◽  
Vol 324 (5-6) ◽  
pp. 378-382 ◽  
Author(s):  
Toshiya Ohtsuki ◽  
Akihiro Fujihara ◽  
Hiroshi Yamamoto
Keyword(s):  
Stochastic Processes ◽  
Power Law

Power-law autocorrelated stochastic processes with long-range cross-correlations

2007 ◽  
Vol 56 (1) ◽  
pp. 47-52 ◽  
Author(s):  
B. Podobnik ◽  
D. F. Fu ◽  
H. E. Stanley ◽  
P. Ch. Ivanov
Keyword(s):  
Stochastic Processes ◽  
Long Range ◽  
Power Law ◽  
Cross Correlations

scholarly journals Impact of Pore Geometry and Water Saturation on Gas Effective Diffusion Coefficient in Soil

2018 ◽  
Vol 8 (11) ◽  
pp. 2097 ◽  
Author(s):  
Wulong Hu ◽  
Yao Jiang ◽  
Daoyi Chen ◽  
Yongshui Lin ◽  
Qiang Han ◽  
...  
Keyword(s):  
Diffusion Coefficient ◽  
Power Law ◽  
Diffusion Coefficients ◽  
Effective Diffusion Coefficient ◽  
Pore Diameter ◽  
Water Saturation ◽  
Knudsen Diffusion ◽  
Effective Diffusion ◽  
Pore Geometry ◽  
Effective Diffusion Coefficients

Gas flow in soil plays a crucial role in terrestrial ecosystems, and numerical simulation of their movement needs to know their effective diffusion coefficients. How pore structure influences the effective diffusion coefficient has been studied intensively for dry porous media, but much remains unknown for unsaturated soils. Here, we employed the X-ray tomography technique at the pore scale to directly obtain the soil structures, the geometry of their pores and the water distribution under different water saturation levels were calculated using a morphological model. The results show that pore structures including porosity, interface area of gas–solid–water and pore diameter are closely related to water saturation. The increase of mean pore diameter with gas saturation can be fitted into a power law. We also investigated the impact of pore geometry and water saturation on the effective diffusion coefficients, which is independent of the molecular mass of gas after normalization. As the normalized effective Knudsen diffusion coefficient increases with average pore diameter following a power law, with the scaling factor related to pore geometry and the exponent is a constant, we explained and proved that the Knudsen diffusion coefficient increases with gas saturation, also following a power law.

STEP DYNAMICS ON VICINAL Al(11{2m+1}) SURFACES

1994 ◽  
Vol 01 (04) ◽  
pp. 611-614 ◽  
Author(s):  
P.A. GRAVIL ◽  
S. HOLLOWAY
Keyword(s):  
Molecular Dynamics ◽  
Time Dependence ◽  
Molecular Dynamics Simulations ◽  
Power Law ◽  
Time Exponent ◽  
Step Dynamics ◽  
Dynamics Simulations ◽  
Reduced Time

The motion of steps on (113), (115), and (117) surfaces of aluminium has been studied by molecular dynamics simulations. The time dependence of the position fluctuations was found to show a power-law dependence, tn, where 0.25<n≤0.5. We conclude that step meandering occurs by the exchange of atoms between steps. For noninteracting steps this corresponds to a time exponent of n=0.5. The reduced time dependence is then due to the repulsion between the steps.

Time Dependence of the Metastable, Optically-Induced Esr in a-Si:H

1986 ◽  
Vol 70 ◽  
Author(s):  
C. Lee ◽  
W. D. Ohlsen ◽  
P. C. Taylor
Keyword(s):  
Time Dependence ◽  
Spin Density ◽  
Power Law ◽  
White Light ◽  
Monochromatic Light ◽  
Extended Range ◽  
Unique Power ◽  
Spin Densities ◽  
Optically Induced

ABSTRACTThe occurrence of optically-induced, metastable changes in the paramagnetism in films of a-Si:H is well known. The effect was first observed with white light in powdered samples, but recent experiments with both white and monochromatic light incident on films on substrates have observed a similar effect. This optically-induced ESR appears to be stable at temperatures < 400 K. Typical inducing curves for samples with initial dark spin densities ns > 1016 spins/cm3 approach a power law behavior (ns ∼ t1 / 3) at long times. However, when the dark spin density is less than 1016 spins/cm3, the samples exhibit an inducing curve (on a log-log scale) with a continuously decreasing slope. The curve does not exhibit a unique power law behavior over an extended range of time and is at all times < t1 / 3.

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