Published July 1998
| Version v1
Journal article
π kinks in strongly ac driven sine-Gordon systems
- 1. Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912 (United States)
- 2. Center for Nonlinear Studies and Computational Science Methods Group, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
- 3. Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
Description
We demonstrate that π kinks exist in nonparametrically ac driven sine-Gordon systems if the ac drive is sufficiently fast. It is found that, at a critical value of the drive amplitude, there are two stable and two unstable equilibria in the sine-Gordon phase. The pairwise symmetry of these equilibria implies the existence of a one-parameter family of π-kink solutions in the reduced system. In the dissipative case of the ac driven sine-Gordon systems, corresponding to Josephson junctions, the velocity is selected by the balance between the perturbations. The results are derived from a perturbation analysis and verified by direct numerical simulations. copyright 1998 The American Physical Society
Additional details
Publishing Information
- Journal Title
- Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
- Journal Volume
- 58
- Journal Issue
- 1
- Journal Page Range
- p. R52-R55
- ISSN
- 1063-651X
- CODEN
- PLEEE8
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 29055891
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S70: PLASMA PHYSICS AND FUSION TECHNOLOGY;
- Descriptors DEI
- CANONICAL TRANSFORMATIONS; JOSEPHSON EFFECT; JOSEPHSON JUNCTIONS; KINK INSTABILITY; NUMERICAL ANALYSIS; PERTURBATION THEORY; SIMULATION; SINE-GORDON EQUATION; VELOCITY
- Descriptors DEC
- EQUATIONS; FIELD EQUATIONS; INSTABILITY; MATHEMATICS; PLASMA INSTABILITY; PLASMA MACROINSTABILITIES; SEMICONDUCTOR JUNCTIONS; TRANSFORMATIONS