{pi} kinks in strongly ac driven sine-Gordon systems

Journal Article · Wed Jul 01 04:00:00 EDT 1998 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.58.R52· OSTI ID:638775

Zharnitsky, V ^[1]; Mitkov, I ^[2]

---

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)

We demonstrate that {pi} 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 {pi}-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} {ital 1998} {ital The American Physical Society}

• OSTI ID: 638775
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 1 Vol. 58; ISSN 1063-651X; ISSN PLEEE8
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
CANONICAL TRANSFORMATIONS
JOSEPHSON EFFECT
JOSEPHSON JUNCTIONS
KINK INSTABILITY
NUMERICAL ANALYSIS
PERTURBATION THEORY
SIMULATION
SINE-GORDON EQUATION
VELOCITY