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Chaotic Dynamics papers — page 50

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Universal statistics of non-linear energy transfer in turbulent models
A class of shell models for turbulent energy transfer at varying the inter-shell separation, λ, is investigated. Intermittent corrections in the continuous limit of infinitely close shells…
R. Benzi, L. Biferale, E. TrovatoreJun 10, 1996
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Study of chaos in hamiltonian systems via convergent normal forms
We use Moser's normal forms to study chaotic motion in two-degree hamiltonian systems near a saddle point. Besides being convergent, they provide a suitable description of the cylindrical…
Werner M. Vieira, Alfredo M. O. de AlmeidaJun 7, 1996
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Decay of Nuclear Giant Resonances: Quantum Self-similar Fragmentation
Scaling analysis of nuclear giant resonance transition probabilities with increasing level of complexity in the background states is performed. It is found that the background characteristics,…
A. Z. Gorski, R. Botet, S. Drozdz et al.Jun 7, 1996
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Quasi linear flows on tori: regularity of their linearization
Under suitable conditions a flow on a torus C(p)--close, with p large enough, to a quasi periodic diophantine rotation is shown to be conjugated to the quasi periodic rotation by a map that is…
Federico Bonetto, Giovanni Gallavotti, Guido Gentile et al.Jun 6, 1996
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Resonant interactions in Bénard-Marangoni convection in cylindrical containers
Convection in a cylindrical container of small aspect ratio is studied. It is known that when, in addition to buoyancy forces, thermocapillarity effects are taken into account, resonant interactions…
Blas Echebarria, Dario Krmpotić, Carlos Pérez-GarcíaJun 6, 1996
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Anomalous scaling in random shell models for passive scalars
A shell-model version of Kraichnan's (1994 Phys. Rev. Lett. 72, 1016) passive scalar problem is introduced which is inspired from the model of Jensen, Paladin and Vulpiani (1992 …
A. Wirth, L. BiferaleMay 31, 1996
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Exponential Divergence and Long Time Relaxation in Chaotic Quantum Dynamics
Phase space representations of the dynamics of the quantal and classical cat map are used to explore quantum--classical correspondence in a K-system: as 0, the classical chaotic behavior…
Arjendu K. Pattanayak, Paul BrumerMay 30, 1996
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Chaos and Scaling in Classical Non-Abelian Gauge Fields
Without an ultraviolet cut-off, the time evolution of the classical Yang-Mills equations give rise to a never ending cascading of the modes towards the ultraviolet, and ergodic measures and dynamical…
Holger Bech Nielsen, Hans Henrik Rugh, Svend Erik RughMay 24, 1996
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Universality of the Inertial-Convective Range in Kraichnan's Model of a Passive Scalar
We establish by exact, nonperturbative methods a universality for the correlation functions in Kraichnan's ``rapid-change'' model of a passively advected scalar field. We show that the…
Gregory Eyink, Jack XinMay 23, 1996
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Characterization of a periodically driven chaotic dynamical system
We discuss how to characterize the behavior of a chaotic dynamical system depending on a parameter that varies periodically in time. In particular, we study the predictability time, the correlations…
A Crisanti, M. Falcioni, G. Lacorata et al.May 20, 1996
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A Hamiltonian weak-wave model for shallow-water flow
A reduced dynamical model is derived which describes the interaction of weak inertia-gravity waves with nonlinear vortical motion in the context of rotating shallow-water flow. The formal scaling…
Caroline Nore, Theodore G. ShepherdMay 15, 1996
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Quasiclassical Random Matrix Theory
We directly combine ideas of the quasiclassical approximation with random matrix theory and apply them to the study of the spectrum, in particular to the two-level correlator. Bogomolny's…
R. E. PrangeMay 15, 1996
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Existence and Uniqueness of L2-Solutions at Zero-Diffusivity in the Kraichnan Model of a Passive Scalar
We study Kraichnan's model of a turbulent scalar, passively advected by a Gaussian random velocity field delta-correlated in time, for every space dimension d≥ 2 and eddy-diffusivity…
Gregory L. Eyink, Jack XinMay 15, 1996
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Inertial- and Dissipation-Range Asymptotics in Fluid Turbulence
We propose and verify a wave-vector-space version of generalized extended self similarity and broaden its applicability to uncover intriguing, universal scaling in the far dissipation range by…
Sujan K. Dhar, Anirban Sain, Rahul PanditMay 10, 1996
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Dynamical ensembles equivalence in fluid mechanics
Dissipative Euler and Navier Stokes equations are discussed with the aim of proposing several experiments apt to test the equivalence of dynamical ensembles and the chaotic hypothesis.
Giovanni GallavottiMay 9, 1996
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Ergodic Properties of the Quantum Ideal Gas in the Maxwell-Boltzmann Statistics
It is proved that the quantization of the Volkovyski-Sinai model of ideal gas (in the Maxwell-Boltzmann statistics) enjoys at the thermodynamical limit the properties of mixing and ergodicity with…
Marco LenciMay 9, 1996
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Sonoluminescing air bubbles rectify argon
The dynamics of single bubble sonoluminescence (SBSL) strongly depends on the percentage of inert gas within the bubble. We propose a theory for this dependence, based on a combination of principles…
Detlef Lohse, Michael P. Brenner, Todd F. Dupont et al.May 7, 1996
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Acoustic Energy Storage in Single Bubble Sonoluminescence
Single bubble sonoluminescence is understood in terms of a shock focusing towards the bubble center. We present a mechanism for significantly enhancing the effect of shock focusing, arising from the…
Michael P. Brenner, Sascha Hilgenfeldt, Detlef Lohse et al.May 7, 1996
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Studies of chaotic Dynamics in a Three-Dimensional Superconducting Microwave Billiard
We present first measurements on a superconducting three-dimensional, partly chaotic microwave billiard shaped like a small deformed cup. We analyze the statistical properties of the measured…
H. Alt, H. -D. Graef, R. Hofferbert et al.May 7, 1996
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Action Principle in Nonequilibrium Statistical Dynamics
We introduce a variational method for approximating distribution functions of dynamics with a ``Liouville operator'' , in terms of a nonequilibrium action functional for two independent…
Gregory L. EyinkMay 4, 1996
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Studying Attractor Symmetries by Means of Cross Correlation Sums
We use the cross correlation sum introduced recently by H. Kantz to study symmetry properties of chaotic attractors. In particular, we apply it to a system of six coupled nonlinear oscillators which…
Peter Schneider, Peter GrassbergerMay 2, 1996
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``Critical'' phonons of the supercritical Frenkel-Kontorova model: renormalization bifurcation diagrams
The phonon modes of the Frenkel-Kontorova model are studied both at the pinning transition as well as in the pinned (cantorus) phase. We focus on the minimal frequency of the phonon spectrum and the…
Jukka A. Ketoja, Indubala I. SatijaMay 2, 1996
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Can a local repulsive potential trap an electron?
We study the classical dynamics of a charged particle in two dimensions, under the influence of a perpendicular magnetic and an in-plane electric field. We prove the surprising fact that there is a…
N. Berglund, Alex Hansen, E. H. Hauge et al.May 1, 1996
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The Spatio-Temporal Structure of Spiral-Defect Chaos
We present a study of the recently discovered spatially-extended chaotic state known as spiral-defect chaos, which occurs in low-Prandtl-number, large-aspect-ratio Rayleigh-Benard convection. We…
Stephen W. Morris, Eberhard Bodenschatz, David S. Cannell et al.May 1, 1996
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Chaotic principle: an experimental test
The chaotic hypothesis discussed in [GC1] is tested experimentally in a simple conduction model. Besides a confirmation of the hypothesis predictions the results suggest the validity of the…
F. Bonetto, G. Gallavotti, P. L. GarridoApr 29, 1996
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