Transverse wall instabilities on a driven, damped two-dimensional lattice system

Journal Article · Mon May 01 00:00:00 EDT 1989 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.39.9500· OSTI ID:6267443

Pouget, J; Aubry, S; Bishop, A R; Lomdahl, P S

Analytic and numerical studies are presented for the onset and saturation of transverse patterns occurring on walls propagating in a two-dimensional, longitudinally discrete, underdamped, dc-driven Frenkel-Kontorova model. For sufficiently weak damping, transverse instabilities occur at a series of critical field thresholds, where the wall velocity is of intermediate magnitude. Typically, the transverse patterns saturate as counterpropagating kink-antikink pairs, whose nucleation supports the longitudinal wall propagation. The wall dynamics in a D-dimensional lattice is governed approximately by a damped drive (D-1)-dimensional sine-Gordon equation.

• Research Organization: Center for Nonlinear Studies and Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
• OSTI ID: 6267443
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 39:13; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

656000* -- Condensed Matter Physics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CRYSTAL DEFECTS
CRYSTAL STRUCTURE
DISLOCATIONS
FRENKEL DEFECTS
INSTABILITY
LINE DEFECTS
MOTION
PARAMETRIC INSTABILITIES
PEIERLS-NABARRO FORCE
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
POINT DEFECTS
SOLIDS
VACANCIES