Multiple order-to-chaos transition in an Abelian-Higgs vortex solution

Journal Article · Mon Sep 01 00:00:00 EDT 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.56.3660· OSTI ID:542342

Ohta, S ^[1]; Kawabe, T ^[2]

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1. Department of Applied Physics, Faculty of Engineering, Kyushu University, Ropponmatsu, Fukuoka, 810 (Japan)
2. Physics Department, Kyushu Institute of Design, Shiobaru, Fukuoka, 815 (Japan)

The chaotic property in the Abelian-Higgs theory is numerically studied for the Nielsen-Olesen vortex solution at a critical coupling constant. Based on the analyses on the induction period necessary to the onset of chaos and the maximal Lyapunov exponents of fields, it is shown that the vortex solution exhibits a multiple order-to-chaos transition. This phenomenon is a very interesting one that can shed new light on the structure of chaos in the Abelian-Higgs theory, compared with the property of chaos in the Yang-Mills-Higgs theory. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 542342
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 6 Vol. 56; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
COUPLING CONSTANTS
HIGGS MODEL
LYAPUNOV METHOD
NUMERICAL ANALYSIS
PHASE TRANSFORMATIONS
VORTEX FLOW
VORTICES
YANG-MILLS THEORY