Complutense University Library

Effects of disorder on the wave front depinning transition in spatially discrete systems

Carpio Rodríguez, Ana María and Bonilla , L.L. and Luzón, Ana (2002) Effects of disorder on the wave front depinning transition in spatially discrete systems. Physical Review E, 65 (3). ISSN 1539-3755

[img] PDF
Restricted to Repository staff only until 2020.

152kB

Official URL: http://arxiv.org/pdf/cond-mat/0201318.pdf

View download statistics for this eprint

==>>> Export to other formats

Abstract

Pinning and depinning of wave fronts are ubiquitous features of spatially discrete systems describing a host of phenomena in physics, biology, etc. A large class of discrete systems is described by overdamped chains of nonlinear oscillators with nearest- neighbor coupling and subject to random external forces. The presence of weak randomness shrinks the pinning interval and it changes the critical exponent of the wave front depinning transition from 1/2 to 3/2. This effect is derived by means of a recent asymptotic theory of the depinning transition, extended to discrete drift-diffusion models of transport in semiconductor superlattices and is confirmed by numerical calculations.

Item Type:Article
Uncontrolled Keywords:Charge-density waves; Propagation; Dynamics; Model
Subjects:Sciences > Physics > Mathematical physics
ID Code:15051
References:

F.R.N. Nabarro, Theory of Crystal Dislocations (Oxford

University Press, Oxford, 1967).

P. M. Chaikin and T. C. Lubensky, Principles of condensed matter physics (Cambridge University Press,

Cambridge, 1995). Chapter 10.

M. L¨ocher, G.A. Johnson and E.R. Hunt, Phys. Rev.

Lett. 77, 4698 (1996).

L.L. Bonilla, J. Gal´an, J.A. Cuesta, F.C. Mart´ınez and J. M. Molera, Phys. Rev. B 50, 8644 (1994); L. L. Bonilla,G. Platero and D. S´anchez, Phys. Rev. B 62, 2786 (2000);A. Wacker, in Theory and transport properties of semiconductor nanostructures, edited by E. Sch¨oll (Chapman

and Hall, New York, 1998). Chapter 10.

A. Carpio, L. L. Bonilla and G. Dell’Acqua, Phys. Rev.

E 64, 036204 (2001).

G. Gr¨uner, Rev. Mod. Phys. 60, 1129 (1988); A.A. Middleton,Phys. Rev. Lett. 68, 670 (1992).

H. S. J. van der Zant, T. P. Orlando, S. Watanabe and

S. H. Strogatz, Phys. Rev. Lett. 74, 174 (1995).

J. P. Keener, SIAM J. Appl. Math. 47, 556 (1987).

J.P. Keener and J. Sneyd, Mathematical Physiology

(Springer, New York, 1998). Chapter 9.

A. E. Bugrim, A.M. Zhabotinsky and I.R. Epstein, Biophys.J. 73, 2897 (1997).

A. Carpio and L. L. Bonilla, Phys. Rev. Lett. 86, 6034

(2001).

D. S. Fisher, Phys. Rev. Lett. 50, 1486 (1983); Phys.

Rev. B 31, 1396 (1985).

J. Frenkel and T. Kontorova, Phys. Z. SowjUn. 13, 1

(1938); O. M. Braun and Yu. S. Kivshar, Phys. Rep.306, 1 (1998).

A. Carpio and L. L. Bonilla, unpublished.

Deposited On:03 May 2012 09:44
Last Modified:06 Feb 2014 10:15

Repository Staff Only: item control page