A stochastic analysis based on a one-dimensional random walk model of the persistent phosphorescence of Mn2+ ions doped in zinc magnesium phosphate

2019 ◽  
Vol 48 (20) ◽  
pp. 6746-6756 ◽  
Author(s):  
Kai Ikegaya ◽  
Shigeki Yamada ◽  
Kazuteru Shinozaki
Keyword(s):  
Random Walk ◽  
Exponential Decay ◽  
Stochastic Analysis ◽  
Random Walk Model ◽  
Magnesium Phosphate ◽  
Electron Hopping ◽  
One Dimensional

The persistent phosphorescence of β-Zn3(PO4)2:Mn2+ and γ-(Zn2+,Mg2+)3(PO4)2:Mn2+ systems showing long-tailed non-exponential decay is simulated via stochastic analysis using electron hopping between traps.

Energy migration in the aromatic vinyl polymers. 1. A one-dimensional random walk model

1982 ◽  
Vol 15 (3) ◽  
pp. 733-741 ◽  
Author(s):  
Patrick D. Fitzgibbon ◽  
Curtis W. Frank
Keyword(s):  
Random Walk ◽  
Energy Migration ◽  
Random Walk Model ◽  
One Dimensional ◽  
Vinyl Polymers

LANGUAGE AND CODIFICATION DEPENDENCE OF LONG-RANGE CORRELATIONS IN TEXTS

Fractals ◽  
1994 ◽  
Vol 02 (01) ◽  
pp. 7-13 ◽  
Author(s):  
M. AMIT ◽  
Y. SHMERLER ◽  
E. EISENBERG ◽  
M. ABRAHAM ◽  
N. SHNERB
Keyword(s):  
Random Walk ◽  
Long Range ◽  
Random Walk Model ◽  
Qualitative Explanation ◽  
Algebraic Decay ◽  
One Dimensional ◽  
Long Range Correlations ◽  
The Bible

We study the long-range correlations in various translations of the Bible by mapping them onto a one dimensional random walk model. We show that the exponent α, which characterizes the algebraic decay law of these correlations depends on both the language and the codification. Some considerations concerning the origin of these correlations are suggested in terms of which a qualitative explanation of this dependence is presented.

scholarly journals Large Deviations for Continuous Time Random Walks

Entropy ◽  
2020 ◽  
Vol 22 (6) ◽  
pp. 697 ◽  
Author(s):  
Wanli Wang ◽  
Eli Barkai ◽  
Stanislav Burov
Keyword(s):  
Random Walk ◽  
Random Walks ◽  
Exponential Decay ◽  
Continuous Time ◽  
Large Deviation ◽  
Waiting Times ◽  
Continuous Time Random Walk ◽  
Random Walk Model ◽  
Logarithmic Correction ◽  
Continuous Time Random Walks

Recently observation of random walks in complex environments like the cell and other glassy systems revealed that the spreading of particles, at its tails, follows a spatial exponential decay instead of the canonical Gaussian. We use the widely applicable continuous time random walk model and obtain the large deviation description of the propagator. Under mild conditions that the microscopic jump lengths distribution is decaying exponentially or faster i.e., Lévy like power law distributed jump lengths are excluded, and that the distribution of the waiting times is analytical for short waiting times, the spreading of particles follows an exponential decay at large distances, with a logarithmic correction. Here we show how anti-bunching of jump events reduces the effect, while bunching and intermittency enhances it. We employ exact solutions of the continuous time random walk model to test the large deviation theory.

On a Generalization of One Dimensional Random Walk with a Partially Reflecting Barrier

1971 ◽  
Vol 14 (3) ◽  
pp. 325-332 ◽  
Author(s):  
B. R. Handa
Keyword(s):  
Random Walk ◽  
Random Walk Model ◽  
Unit Distance ◽  
One Dimensional ◽  
The Right

Consider a one-dimensional random walk model where a particle starting at the origin at any instant either takes a jump through a unit distance to the right with probability p1, or stays at the same position with probability p0, or else takes a jump through either of 1, 2, … μ, units of distance to the left with probabilities p-1, p-2, …, p-μ respectively.

A Multi-Label Classification Algorithm Based on Random Walk Model

2010 ◽  
Vol 33 (8) ◽  
pp. 1418-1426 ◽  
Author(s):  
Wei ZHENG ◽  
Chao-Kun WANG ◽  
Zhang LIU ◽  
Jian-Min WANG
Keyword(s):  
Random Walk ◽  
Classification Algorithm ◽  
Random Walk Model
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