53 research outputs found
Order-chaos transitions in field theories with topological terms: a dynamical systems approach
We present a comparative study of the dynamical behaviour of topological
systems of recent interest, namely the non-Abelian Chern-Simons Higgs system
and the Yang-Mills Chern-Simons Higgs system. By reducing the full field
theories to temporal differential systems using the assumption of spatially
homogeneous fields , we study the Lyapunov exponents for two types of initial
conditions. We also examine in minute detail the behaviour of the Lyapunov
spectra as a function of the various coupling parameters in the system. We
compare and contrast our results with those for Abelian Higgs, Yang-Mills Higgs
and Yang-Mills Chern-Simons systems which have been discussed by other authors
recently. The role of the various terms in the Hamiltonians for such systems in
determining the order-disorder transitions is emphasized and shown to be
counter-intuitive in the Yang-Mills Chern-Simons Higgs systems.Comment: 19 pages,15 figures available in hard copy from C. Mukku, and through
e-mail from [email protected]. To appear in J. Phys.
Non-Abelian Excitations of the Quark-Gluon Plasma
We present new, non-abelian, solutions to the equations of motion which
describe the collective excitations of a quark-gluon plasma at high
temperature. These solutions correspond to spatially uniform color
oscillations.Comment: 8 pages LaTex, 1 figure (not included; available upon request),
Saclay preprint T94/0
Extensive Chaos in the Nikolaevskii Model
We carry out a systematic study of a novel type of chaos at onset ("soft-mode
turbulence") based on numerical integration of the simplest one dimensional
model. The chaos is characterized by a smooth interplay of different spatial
scales, with defect generation being unimportant. The Lyapunov exponents are
calculated for several system sizes for fixed values of the control parameter
. The Lyapunov dimension and the Kolmogorov-Sinai entropy are
calculated and both shown to exhibit extensive and microextensive scaling. The
distribution functional is shown to satisfy Gaussian statistics at small
wavenumbers and small frequency.Comment: 4 pages (including 5 figures) LaTeX file. Submitted to Phys. Rev.
Let
The structural-functional characteristics of Syringa vulgaris L. and an assessment of their applicability in diagnosing the atmospheric pollution of the city of Kemerovo
Existence of Perturbed Equilibrium States in Some Two-Layer Systems with Density Inversion
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