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Chaotic Dynamics papers — page 48

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Quantum Fluids and Classical Determinants
A "quasiclassical" approximation to the quantum spectrum of the Schroedinger equation is obtained from the trace of a quasiclassical evolution operator for the "hydrodynamical"…
Predrag Cvitanovic, Gabor Vattay, Andreas WirzbaAug 15, 1996
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Characterization of Landau-Zener Transitions in Systems with Complex Spectra
This paper is concerned with the study of one-body dissipation effects in idealized models resembling a nucleus. In particular, we study the quantum mechanics of a free particle that collides…
M. J. Sánchez, E. Vergini, D. A. WisniackiAug 14, 1996
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Why air bubbles in water glow so easily
Sound driven gas bubbles in water can emit light pulses (sonoluminescence). Experiments show a strong dependence on the type of gas dissolved in water. Air is found to be one of the most friendly…
Michael Brenner, Sascha Hilgenfeldt, Detlef Lohse et al.Aug 9, 1996
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Chaotic features in classical scattering processes between ions and atoms
A numerical study has been done of collisions between protons and hydrogen atoms, treated as classical particles, at low impact velocities. The presence of chaos has been looked for by investigating…
Fabio Sattin, Luca SalasnichAug 9, 1996
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On Conditional Statistics in Scalar Turbulence: Theory vs. Experiment
We consider turbulent advection of a scalar field T(.r), passive or active, and focus on the statistics of gradient fields conditioned on scalar differences ΔT(R) across a scale R. In…
Emily S. C. Ching, Victor S. L'vov, Evgeni Podivilov et al.Aug 9, 1996
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WKB to all orders and accuracy of the semiclassical quantization
We perform a systematic WKB expansion to all orders for a one--dimensional system with potential V(x)=U0/2(αx). We are able to sum the series to the exact energy spectrum. Then we show that…
Marko Robnik, Luca SalasnichAug 8, 1996
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Order Parameter for the Transition from Phase to Amplitude Turbulence
The maximal conserved phase gradient is introduced as an order parameter to characterize the transition from phase- to defect-turbulence in the complex Ginzburg-Landau equation. It has a finite value…
Alessandro TorciniAug 6, 1996
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Phase Diagrams for Sonoluminescing Bubbles
Sound driven gas bubbles in water can emit light pulses. This phenomenon is called sonoluminescence (SL). Two different phases of single bubble SL have been proposed: diffusively stable and…
Sascha Hilgenfeldt, Detlef Lohse, Michael BrennerAug 6, 1996
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Developed turbulence: From full simulations to full mode reductions
Developed Navier-Stokes turbulence is simulated with varying wavevector mode reductions. The flatness and the skewness of the velocity derivative depend on the degree of mode reduction. They show a…
Siegfried Grossmann, Detlef Lohse, Achim ReehAug 5, 1996
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Studies of Phase Turbulence in the One Dimensional Complex Ginzburg-Landau Equation
The phase-turbulent (PT) regime for the one dimensional complex Ginzburg-Landau equation (CGLE) is carefully studied, in the limit of large systems and long integration times, using an efficient new…
Alessandro Torcini, Helge Frauenkron, Peter GrassbergerAug 5, 1996
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Complex Periodic Orbits and Tunnelling in Chaotic Potentials
We derive a trace formula for the splitting-weighted density of states suitable for chaotic potentials with isolated symmetric wells. This formula is based on complex orbits which tunnel through…
Stephen C. Creagh, Niall D. WhelanAug 3, 1996
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Noise Induced Coherence in Neural Networks
We investigate numerically the dynamics of large networks of N globally pulse-coupled integrate and fire neurons in a noise-induced synchronized state. The powerspectrum of an individual element…
Wouter-Jan Rappel, Alain KarmaAug 2, 1996
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Uncertain dynamical systems defined by pseudomeasures
This paper deals with uncertain dynamical systems in which predictions about the future state of a system are assessed by so called pseudomeasures. Two special cases are stochastic dynamical systems,…
Andreas HammAug 1, 1996
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A new model of quantum chaotic billiards: Spectral Statistics and Wavefunctions in 2D
Quantum chaotic dynamics is obtained for a tight-binding model in which the energies of the atomic levels at the boundary sites are chosen at random. Results for the square lattice indicate that the…
E. Cuevas, E. Louis, J. A. VergesAug 1, 1996
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Thermodynamic formalism and localization in Lorentz gases and hopping models
The thermodynamic formalism expresses chaotic properties of dynamical systems in terms of the Ruelle pressure ψ(β). The inverse-temperature like variable β allows one to scan the structure of the…
C. Appert, H. van Beijeren, M. H. Ernst et al.Jul 31, 1996
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Generation and Structure of Solitary Rossby Vortices in Rotating Fluids
The formation of zonal flows and vortices in the generalized Charney-Hasegawa-Mima equation is studied. We focus on the regime when the size of structures is comparable to or larger than the…
Nikolai Kukharkin, Steven A. OrszagJul 31, 1996
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Roundoff-induced Coalescence of Chaotic Trajectories
Numerical experiments recently discussed in the literature show that identical nonlinear chaotic systems linked by a common noise term (or signal) may synchronize after a finite time. We study the…
L. Longa, E. M. F. Curado, F. A. OliveiraJul 29, 1996
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Limit Set of Trajectories of the Coupled Viscous Burgers' Equations
In this letter, a coupled system of viscous Burgers' equations with zero Dirichlet boundary conditions and appropriate initial data is considered. For the well-known single viscous Burgers'…
J. Duan, J. NeeJul 29, 1996
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On developed turbulence in a weak compressibile conductive fluid
A method of construction of decomposition of correlation functions of developed turbulence in a compressible fluid on Mach number Ma is generalized now for a model of stochastic magnetic…
D. Yu. WolchenkovJul 29, 1996
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Turbulence Fluctuations and New Universal Realizability Conditions in Modelling
General turbulent mean statistics are shown to be characterized by a variational principle. The variational functionals, or ``effective actions'', have experimental consequences for…
Gregory L. Eyink, Francis J. AlexanderJul 26, 1996
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Difficulties with the Scars Model of Quantum Localization
Numerical calculations studying bound eigenstates in chaotic regions of phase space, including those of the stadium billiard, are summarized. These calculations demonstrate that the scars of periodic…
Michael J. DavisJul 25, 1996
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Scaling Exponents of Strong Turbulence in the Eddy Viscosity Approximation
A dynamic equation for velocity structure functions Sn(r) = <(u(x)-u(x'))n> in strong turbulence is derived in the one-loop (eddy viscosity) approximation. This homogemeous differential…
Victor YakhotJul 20, 1996
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Hydrodynamic Turbulence Has Infinitely Many Anomalous Dynamical Exponents
On the basis of the Navier-Stokes equations we develop the statistical theory of many space-time correlation functions of velocity differences. Their time dependence is not scale invariant:…
Victor S. L'vov, Evgenii Podivilov, Itamar ProcacciaJul 20, 1996
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Spatio-temporal chaos and patterns formation in nonequilibrium media: phenomenological model of electronic turbulence
The processes in nonequilibrium dissipative media caused by coherent structure formation and lead to the complicated dynamics are of interest for nonlinear physics. Here we consider a model of the…
E. S. Mchedlova, D. I. TrubetskovJul 18, 1996
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Turbulent behaviour in magnetic hydrodynamics is not universal
A short distance expansion method (SDE) that is well known in the quantum field theory for analysis of turbulent behaviour of stochastic magnetic hydrodynamics of incompressible conductive fluid is…
Wolchenkov DmitriyJul 16, 1996
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