Long-range transmission of solitons in random media

2001 ◽  
Author(s):  
Josselin C. Garnier ◽  
Fatkhulla K. Abdullaev
Keyword(s):  
2000 ◽  
Vol 33 (24) ◽  
pp. 4461-4480 ◽  
Author(s):  
Yohannes Shiferaw ◽  
Yadin Y Goldschmidt

2000 ◽  
Vol 652 ◽  
Author(s):  
Stefano Zapperi ◽  
Michael Zaiser

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.


2009 ◽  
Vol 7 (3) ◽  
pp. 1302-1324 ◽  
Author(s):  
Josselin Garnier ◽  
Knut SØlna

1990 ◽  
Vol 65 (17) ◽  
pp. 2129-2132 ◽  
Author(s):  
A. Z. Genack ◽  
N. Garcia ◽  
W. Polkosnik

2005 ◽  
Vol 19 (29) ◽  
pp. 4381-4387
Author(s):  
CHERDSAK KUNSOMBAT ◽  
VIRULH SA-YAKANIT

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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