Long-range transmission of solitons in random media

2001 ◽  
Author(s):  
Josselin C. Garnier ◽  
Fatkhulla K. Abdullaev
Keyword(s):  
Long Range ◽  
Random Media

scholarly journals A solvable model of a polymer in random media with long-range disorder correlations

2000 ◽  
Vol 33 (24) ◽  
pp. 4461-4480 ◽  
Author(s):  
Yohannes Shiferaw ◽  
Yadin Y Goldschmidt
Keyword(s):  
Long Range ◽  
Random Media ◽  
Solvable Model

Critical Beha vior of a Depinning Dislocation

2000 ◽  
Vol 652 ◽  
Author(s):  
Stefano Zapperi ◽  
Michael Zaiser
Keyword(s):  
Stress Field ◽  
Long Range ◽  
Critical Exponents ◽  
Critical Stress ◽  
Threshold Stress ◽  
Random Media ◽  
Analytical Estimate ◽  
Depinning Transition ◽  
Elastic String ◽  
Theoretical Predictions

ABSTRACTThe dynamics of dislocations at yield can be understood within the framew ork of the depinning transition of elastic manifolds in random media. Close to the threshold stress for their long-range motion, the geometry and dynamics of dislocations are characterized by a set of critical exponents. We consider a single flexible dislocation gliding through a random stress field, taking in to account long-range self stresses, and estimate the critical stress where depinning takes place. Simulations of a discretized lattice model confirm the analytical estimate and yield numerical values of the critical exponents which are in agreement with theoretical predictions for an elastic string mo ving on a plane.

scholarly journals Pulse Propagation in Random Media with Long-Range Correlation

2009 ◽  
Vol 7 (3) ◽  
pp. 1302-1324 ◽  
Author(s):  
Josselin Garnier ◽  
Knut SØlna
Keyword(s):  
Long Range ◽  
Random Media ◽  
Pulse Propagation ◽  
Range Correlation

Long-range intensity correlation in random media

1990 ◽  
Vol 65 (17) ◽  
pp. 2129-2132 ◽  
Author(s):  
A. Z. Genack ◽  
N. Garcia ◽  
W. Polkosnik
Keyword(s):  
Long Range ◽  
Random Media ◽  
Intensity Correlation

PATH-INTEGRAL APPROACH TO A POLYMER CHAIN IN RANDOM MEDIA WITH LONG-RANGE DISORDER CORRELATIONS

2005 ◽  
Vol 19 (29) ◽  
pp. 4381-4387
Author(s):  
CHERDSAK KUNSOMBAT ◽  
VIRULH SA-YAKANIT
Keyword(s):  
Long Range ◽  
Polymer Chain ◽  
Path Integral ◽  
Random Media ◽  
Integral Approach ◽  
Mean Square ◽  
Path Integral Approach ◽  
End Distance ◽  
The Mean ◽  
End To End

In this paper we consider the model of a flexible polymer chain embedded in a quenched random medium with long-range disorder correlations. Using the Feynman path integral approach we show that for the case of long-range quadratic correlations, we obtain an analytical result. The result is [Formula: see text], where 〈R2〉 is the mean square end-to-end distance of the polymer chain, ξ is the correlation length of disorder, Δ is an unknown parameter, b is the Kuhn step length, ρ is the density of random obstacles and N is the number of links. It is shown that for a polymer chain in a random media with long-range quadratic correlations, where ρ is not too high, the behavior of the polymer chain is like that of a free chain. This result agrees with the calculation using the replica method. However, in a medium where ρ is very high, the variation of the mean square end-to-end distance with disorder and its distance depending on ρ are found in our approach.

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