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Chaotic Dynamics papers — page 12

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Anisotropic Spectra of Acoustic Turbulence
We found universal anizopropic spectra of acoustic turbulence with the linear dispersion law ω(k) =ck within the framework of generalized kinetic equation which takes into account the finite…
V. S L'vov, Yu. V. L'vov, A. PomyalovMay 19, 1999
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Temporal surrogates of spatial turbulent statistics: the Taylor hypothesis revisted
The Taylor hypothesis which allows surrogating spatial measurements requiring many experimental probes by time series from one or two probes is examined on the basis of a simple analytic model of…
Victor S. L'vov, Anna Pomyalov, Itamar ProcacciaMay 19, 1999
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Hyperbolic Billiards on Surfaces of Constant Curvature
We establish sufficient conditions for the hyperbolicity of the billiard dynamics on surfaces of constant curvature. This extends known results for planar billiards. Using these conditions, we…
B. Gutkin, U. Smilansky, E. GutkinMay 18, 1999
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Distributions of Transition Matrix Elements in Classically Mixed Quantum Systems
The quantitative contributions of a mixed phase-space to the mean characterizing the distribution of diagonal transition matrix elements and to the variance characterizing the distributions of…
D. Boose, J. MainMay 18, 1999
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Influence of compressibility on scaling regimes of strongly anisotropic fully developed turbulence
Statistical model of strongly anisotropic fully developed turbulence of the weakly compressible fluid is considered by means of the field theoretic renormalization group. The corrections due to…
N. V. Antonov, M. Hnatič, M. Yu. NalimovMay 18, 1999
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Lagrangian Tetrad Dynamics and the Phenomenology of Turbulence
A new phenomenological model of turbulent fluctuations is constructed by considering the Lagrangian dynamics of 4 points (the tetrad). The closure of the equations of motion is achieved by…
Michael Chertkov, Alain Pumir, Boris I. ShraimanMay 18, 1999
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Quantum-limited linewidth of a chaotic laser cavity
A random-matrix theory is presented for the linewidth of a laser cavity in which the radiation is scattered chaotically. The linewidth is enhanced above the Schawlow-Townes value by the Petermann…
M. Patra, H. Schomerus, C. W. J. BeenakkerMay 18, 1999
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Ergodic and chaotic hypotheses: nonequilibrium ensembles in statistical mechanics and turbulence
The ergodic hypothesis outgrew from the ancient conception of motion as periodic or quasi periodic. It did cause a revision of our views of motion, particularly through Boltzmann and Poincaré: we…
Giovanni GallavottiMay 17, 1999
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Experimental Generation and Observation of Intrinsic Localized Spin Wave Modes in an Antiferromagnet
By driving with a microwave pulse the lowest frequency antiferromagnetic resonance of the quasi 1-D biaxial antiferromagnet (C2 H5 NH3)2 CuCl4 into an unstable region intrinsic localized spin…
U. T. Schwarz, L. Q. English, A. J. SieversMay 16, 1999
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Fluctuation-Response Relations for Multi-Time Correlations
We show that time-correlation functions of arbitrary order for any random variable in a statistical dynamical system can be calculated as higher-order response functions of the mean history of the…
Gregory L. EyinkMay 14, 1999
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Self-organization in nonlinear wave turbulence
We present a statistical equilibrium model of self-organization in a class of focusing, nonintegrable nonlinear Schrodinger (NLS) equations. The theory predicts that the asymptotic-time behavior of…
Richard Jordan, Christophe JosserandMay 14, 1999
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Noise-induced flow in quasigeostrophic turbulence with bottom friction
Randomly-forced fluid flow in the presence of scale-unselective dissipation develops mean currents following topographic contours. Known mechanisms based on the scale-selective action of damping…
A. Alvarez, E. Hernandez-Garcia, J. TintoreMay 14, 1999
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Detection of Aliasing in Persistent Signals
We explain why aliasing can be detected in a generic temporally-sampled stationary signal process. We then define a concept of stationarity that makes sense for single waveforms. (This is done…
Kevin R. Vixie, David E. Sigeti, Murray WolinskyMay 14, 1999
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Universal long-time properties of Lagrangian statistics in the Batchelor regime and their application to the passive scalar problem
We consider transport of dynamically passive quantities in the Batchelor regime of smooth in space velocity field. For the case of arbitrary temporal correlations of the velocity we formulate the…
E. Balkovsky, A. FouxonMay 13, 1999
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Anomalous spatio-temporal chaos in a two-dimensional system of non-locally coupled oscillators
A two-dimensional system of non-locally coupled complex Ginzburg-Landau oscillators is investigated numerically for the first time. As already known for the one-dimensional case, the system exhibits…
Hiroya NakaoMay 13, 1999
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Instanton Calculus in Shell Models of Turbulence
It has been shown recently that intermittency of the Gledzer Ohkitani Yamada (GOY) shell model of turbulence has to be related to singular structures whose dynamics in the inertial range includes…
I. Daumont, T. Dombre, J. -L. GilsonMay 12, 1999
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Pulses in the Zero-Spacing Limit of the GOY Model
We study the propagation of localised disturbances in a turbulent, but momentarily quiescent and unforced shell model (an approximation of the Navier-Stokes equations on a set of exponentially spaced…
K. H. Andersen, T. Bohr, M. H. Jensen et al.May 12, 1999
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Chaotic eigenfunctions in momentum space
We study eigenstates of chaotic billiards in the momentum representation and propose the radially integrated momentum distribution as useful measure to detect localization effects. For the momentum…
Arnd Bäcker, Roman SchubertMay 11, 1999
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The Radiative Kicked Oscillator: A Stochastic Web or Chaotic Attractor ?
A relativistic charged particle moving in a uniform magnetic field and kicked by an electric field is considered. Under the assumption of small magnetic field, an iterative map is developed. We…
Y. Ashkenazy, L. P. HorwitzMay 11, 1999
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Quasilinear theory of collisionless Fermi acceleration in a multicusp magnetic confinement geometry
Particle motion in a cylindrical multiple-cusp magnetic field configuration is shown to be highly (though not completely) chaotic, as expected by analogy with the Sinai billiard. This provides a…
Robert L. Dewar, Carmen I. CiubotariuMay 10, 1999
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The Construction of a Quantum Markov Partition
We present a method for constructing a quantum Markov partition. Its elements are obtained by quantizing the characteristic function of the classical rectangles. The result is a set of quantum…
Raul O. Vallejos, Marcos SaracenoMay 8, 1999
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Decomposition of Resonant Scatterers by Surfaces of Section
Scattering on the energy shell is viewed here as the relation between the bound states of the Hamiltonian, restricted to sections on leads that are asymptotically independent, far away from the…
Raul O. Vallejos, Alfredo M. Ozorio de AlmeidaMay 8, 1999
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Poincare's Recurrence Theorem and the Unitarity of the S matrix
A scattering process can be described by suitably closing the system and considering the first return map from the entrance onto itself. This scattering map may be singular and discontinuous, but it…
Alfredo M. Ozorio de Almeida, Raul O. VallejosMay 8, 1999
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Characterization of the long-time and short-time predictability of low-order models of the atmosphere
Methods to quantify predictability properties of atmospheric flows are proposed. The ``Extended Self Similarity'' (ESS) technique, recently employed in turbulence data analysis, is used to…
R. Benzi, M. Marrocu, A. Mazzino et al.May 8, 1999
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Collective and chaotic motion in self-bound many-body systems
We investigate the interplay of collective and chaotic motion in a classical self-bound N-body system with two-body interactions. This system displays a hierarchy of three well separated time scales…
Thomas PapenbrockMay 6, 1999
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