Propagation failure, universal scalings and Goldstone modes

P. G. Kevrekidis; I. G. Kevrekidis; A. R. Bishop

doi:10.1016/S0375-9601(01)00012-3

Propagation failure, universal scalings and Goldstone modes

P. G. Kevrekidis, I. G. Kevrekidis, A. R. Bishop

Chemical & Biological Engineering

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

In a recent paper, Kladko et al. (Phys. Rev. Lett. 84 (2000) 4505) studied front propagation failure in lattices of nonlinear diffusively coupled cells. This phenomenon is revisited here and associated with a saddle-node infinite period bifurcation. The results are used to compare existing theories on Goldstone modes and Peierls-Nabarro barriers for parabolic and hyperbolic systems.

Original language	English (US)
Pages (from-to)	361-369
Number of pages	9
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	279
Issue number	5-6
DOIs	https://doi.org/10.1016/S0375-9601(01)00012-3
State	Published - Feb 5 2001

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

Keywords

Discrete kinks
Goldstone modes
Universal scalings

Access to Document

10.1016/S0375-9601(01)00012-3

Cite this

@article{58d0822bda9848038d981c3c9e8c39be,

title = "Propagation failure, universal scalings and Goldstone modes",

abstract = "In a recent paper, Kladko et al. (Phys. Rev. Lett. 84 (2000) 4505) studied front propagation failure in lattices of nonlinear diffusively coupled cells. This phenomenon is revisited here and associated with a saddle-node infinite period bifurcation. The results are used to compare existing theories on Goldstone modes and Peierls-Nabarro barriers for parabolic and hyperbolic systems.",

keywords = "Discrete kinks, Goldstone modes, Universal scalings",

author = "Kevrekidis, \{P. G.\} and Kevrekidis, \{I. G.\} and Bishop, \{A. R.\}",

note = "Funding Information: P.G.K. gratefully acknowledges fellowship support from the A.S. Onasis Public Benefit Foundation, and I.G.K. the support of NSF and AFOSR. Work at the Los Alamos National Laboratory is performed under the auspices of the US DOE under contract W-7405-ENG-36.",

year = "2001",

month = feb,

day = "5",

doi = "10.1016/S0375-9601(01)00012-3",

language = "English (US)",

volume = "279",

pages = "361--369",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

issn = "0375-9601",

publisher = "Elsevier B.V.",

number = "5-6",

}

TY - JOUR

T1 - Propagation failure, universal scalings and Goldstone modes

AU - Kevrekidis, P. G.

AU - Kevrekidis, I. G.

AU - Bishop, A. R.

N1 - Funding Information: P.G.K. gratefully acknowledges fellowship support from the A.S. Onasis Public Benefit Foundation, and I.G.K. the support of NSF and AFOSR. Work at the Los Alamos National Laboratory is performed under the auspices of the US DOE under contract W-7405-ENG-36.

PY - 2001/2/5

Y1 - 2001/2/5

N2 - In a recent paper, Kladko et al. (Phys. Rev. Lett. 84 (2000) 4505) studied front propagation failure in lattices of nonlinear diffusively coupled cells. This phenomenon is revisited here and associated with a saddle-node infinite period bifurcation. The results are used to compare existing theories on Goldstone modes and Peierls-Nabarro barriers for parabolic and hyperbolic systems.

AB - In a recent paper, Kladko et al. (Phys. Rev. Lett. 84 (2000) 4505) studied front propagation failure in lattices of nonlinear diffusively coupled cells. This phenomenon is revisited here and associated with a saddle-node infinite period bifurcation. The results are used to compare existing theories on Goldstone modes and Peierls-Nabarro barriers for parabolic and hyperbolic systems.

KW - Discrete kinks

KW - Goldstone modes

KW - Universal scalings

UR - https://www.scopus.com/pages/publications/0035809067

UR - https://www.scopus.com/inward/citedby.url?scp=0035809067&partnerID=8YFLogxK

U2 - 10.1016/S0375-9601(01)00012-3

DO - 10.1016/S0375-9601(01)00012-3

M3 - Article

AN - SCOPUS:0035809067

SN - 0375-9601

VL - 279

SP - 361

EP - 369

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 5-6

ER -

Propagation failure, universal scalings and Goldstone modes

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this