Exact distribution function for discrete time correlated random walks in one dimension

1998 ◽  
Vol 109 (16) ◽  
pp. 6533-6539 ◽  
Author(s):  
J. W. Hanneken ◽  
D. R. Franceschetti
Keyword(s):  
Distribution Function ◽  
Random Walks ◽  
Discrete Time ◽  
Exact Distribution ◽  
One Dimension ◽  
Correlated Random Walks ◽  
Exact Distribution Function

The exact distribution function of the ratio of two dependent quadratic forms

2017 ◽  
Vol 47 (21) ◽  
pp. 5227-5240
Author(s):  
Edmund Rudiuk ◽  
Aleksander Kowalski
Keyword(s):  
Distribution Function ◽  
Quadratic Forms ◽  
Exact Distribution ◽  
Exact Distribution Function

On the Selection of the Best Rukhin’s Statistic for the Uniform Exact Distribution Function

2004 ◽  
pp. 331-338
Author(s):  
Yolanda Marhuenda ◽  
Domingo Morales ◽  
Julio Angel Pardo ◽  
María Carmen Pardo
Keyword(s):  
Distribution Function ◽  
Exact Distribution ◽  
Exact Distribution Function ◽  
Selection Of

EVALUATING MEAN INTRINSIC CURVATURE OF DISORDERED SEMIFLEXIBLE BIOPOLYMERS

2012 ◽  
Vol 26 (24) ◽  
pp. 1250131 ◽  
Author(s):  
CHIN-YI HUNG ◽  
ZICONG ZHOU ◽  
YUAN-SHIN YOUNG ◽  
FANG-TING LIN
Keyword(s):  
Experimental Data ◽  
Distribution Function ◽  
Power Law ◽  
Short Range ◽  
Exact Distribution ◽  
Two Dimensional ◽  
Intrinsic Curvature ◽  
Short Range Correlation ◽  
Range Correlation ◽  
Exact Distribution Function

We study two-dimensional disordered semiflexible biopolymers with finite mean intrinsic curvature (MIC). We find exact distribution function of orientational angle for the system with short-range correlation (SRC) in intrinsic curvatures. We show that with a finite MIC, our theoretical end-to-end distances can be fitted well to some experimental data of DNA with long-range correlation (LRC) in sequences. Moreover, we find that the variance of the orientational angle has the same power-law behavior as that of the bending profile for DNA with LRC in sequences. Our results provide a way to evaluate MIC and suggest that the LRC in sequences can result in a SRC in intrinsic curvatures.

Diffusion Models with Relativity Effects

1975 ◽  
Vol 12 (S1) ◽  
pp. 263-273 ◽  
Author(s):  
Violet R. Cane
Keyword(s):  
Random Walks ◽  
Special Relativity ◽  
Maxwell's Equations ◽  
Diffusion Models ◽  
Relativity Theory ◽  
One Dimension ◽  
Correlated Random Walks ◽  
Relationship Of ◽  
The Relationship ◽  
Special Relativity Theory

In this paper models for diffusion in one dimension are obtained which are based on correlated random walks. The equations for diffusion with drift can be transformed into the equations for diffusion without drift (and conversely) by the transformations of Special Relativity Theory. The relationship of these equations to Maxwell's equations for electromagnetic phenomena is discussed.

Validation of a New Closure Model for Flow-Induced Alignment of Fibers

2000 ◽  
Author(s):  
A. Imhoff ◽  
S. Parks ◽  
C. Petty ◽  
A. Bénard
Keyword(s):  
Distribution Function ◽  
Fiber Orientation ◽  
Numerical Solutions ◽  
Exact Distribution ◽  
Short Fibers ◽  
Closure Model ◽  
Order Tensor ◽  
Orientation State ◽  
Exact Distribution Function ◽  
Fourth Order Tensor

Abstract A closure model for flow-induced orientation of short fibers is presented and discussed. The model retains all the six-fold symmetry and contraction properties of the fourth order tensor. A derivation of the model is presented and the conditions required for the model to be realizable are discussed. The model is validated against analytical and numerical solutions of the exact distribution function for the fiber orientation state for different flow fields. Variations of this model and its limitations are also discussed.

Exact distribution function of a one-dimensional Fro¨hlich–Toyozawa–Luttinger liquid

2013 ◽  
Vol 166 ◽  
pp. 83-86
Author(s):  
P.J. Monisha ◽  
Soma Mukhopadhyay ◽  
Ashok Chatterjee
Keyword(s):  
Distribution Function ◽  
Luttinger Liquid ◽  
Exact Distribution ◽  
One Dimensional ◽  
Exact Distribution Function

Correlated random walks

1988 ◽  
Vol 53 (1-2) ◽  
pp. 203-219 ◽  
Author(s):  
S. M. T. de la Selva ◽  
Katja Lindenberg ◽  
Bruce J. West
Keyword(s):  
Random Walks ◽  
Correlated Random Walks
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