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Chaotic Dynamics papers — page 52

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Some exact correlations in the Dyson Brownian motion model for transitions to the CUE
The Dyson Brownian motion model for transistions to the CUE is considered. For initial eigenvalue probability density functions corresponding to the COE and CSE, the density-density correlation…
P. J. ForresterMar 25, 1996
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Science of Chaos or Chaos in Science?
I try to clarify several confusions in the popular literature concerning chaos, determinism, the arrow of time, entropy and the role of probability in physics. Classical ideas going back to Laplace…
Jean BricmontMar 22, 1996
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Large deviation rule for Anosov flows
The volume contraction in dissipative reversible transitive Anosov flows obeys a large deviation rule (fluctuation theorem).
Guido GentileMar 18, 1996
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Intermittency and Anomalous Scaling of Passive Scalars in Any Space Dimension
We establish exact inequalities for the structure-function scaling exponents of a passively advected scalar in both the inertial-convective and viscous-convective ranges. These inequalities involve…
Gregory L. EyinkMar 17, 1996
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Secular determinants of random unitary matrices
We consider the characteristic polynomials of random unitary matrices U drawn from various circular ensembles. In particular, the statistics of the coefficients of these polynomials are studied.…
Fritz Haake, Marek Kuś, Hans--Jürgen Sommers et al.Mar 12, 1996
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Statistical properties of random scattering matrices
We discuss the properties of eigenphases of S--matrices in random models simulating classically chaotic scattering. The energy dependence of the eigenphases is investigated and the corresponding…
Petr Seba, Karol Zyczkowski, Jakub ZakrzewskiMar 11, 1996
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Turbulence in Globally Coupled Maps
The phenomenon of turbulence is investigated in the context of globally coupled maps. The local dynamics is given by the Chaté-Manneville minimal map previously used in studies of spatiotemporal…
M. G. Cosenza, A. ParravanoMar 5, 1996
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Chaotic hypothesis: Extension of Onsager reciprocity to large fields and the chaotic hypothesis
The fluctuation theorem (FT), the first derived consequence of the Chaotic Hypothesis (CH) of ref. [GC1], can be considered as an extension to arbitrary forcing fields of the fluctuation…
Giovanni GallavottiMar 4, 1996
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Period Doublings in Coupled Parametrically Forced Damped Pendulums
We study period doublings in N (N=2,3,4, …) coupled parametrically forced damped pendulums by varying A (the amplitude of the external driving force) and c (the strength of coupling).…
Sang-Yoon Kim, Kijin LeeMar 4, 1996
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The Universal Scaling Exponents of Anisotropy in Turbulence and their Measurement
The scaling properties of correlation functions of non-scalar fields (constructed from velocity derivatives) in isotropic hydrodynamic turbulence are characterized by a set of universal exponents. It…
Victor L'vov, Itamar ProcacciaMar 2, 1996
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Topology of energy surfaces and existence of transversal Poincaré sections
Two questions on the topology of compact energy surfaces of natural two degrees of freedom Hamiltonian systems in a magnetic field are discussed. We show that the topology of this 3-manifold (if it…
Alexey Bolsinov, Holger R. Dullin, Andreas WittekFeb 29, 1996
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Reversibility, coarse graining and the chaoticity principle
We describe a way of interpreting the chaotic principle of (ref. [GC1]) more extensively than it was meant in the original works. Mathematically the analysis is based on the dynamical notions of…
F. Bonetto, G. GallavottiFeb 28, 1996
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Escape Orbits for Non-Compact Flat Billiards
It is proven that, under some conditions on f, the non-compact flat billiard Ω= \ (x,y) ∈ 0+ × 0+;\ 0 y f(x) \ has no orbits going directly to +∞. The…
Marco LenciFeb 23, 1996
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On the properties of level spacings for decomposable systems
In this paper we show that the quantum theory of chaos, based on the statistical theory of energy spectra, presents inconsistencies difficult to overcome. In classical mechanics a system described by…
Francesco Mezzadri, Antonio ScottiFeb 22, 1996
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Small Disks and Semiclassical Resonances
We study the effect on quantum spectra of the existence of small circular disks in a billiard system. In the limit where the disk radii vanish there is no effect, however this limit is approached…
P. Rosenqvist, N. D. Whelan, A. WirzbaFeb 20, 1996
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The `Multifractal Model' of Turbulence and A Priori Estimates in Large-Eddy Simulation, II. Evaluation of Stress Models and Non-Universal Effects of the Filter
We continue a previous work in which a priori estimates were derived on subgrid stress and subgrid flux for filtering schemes used in the turbulence modelling method of Large-Eddy Simulation…
Gregory L. EyinkFeb 19, 1996
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The `Multifractal Model' of Turbulence and A Priori Estimates in Large-Eddy Simulation, I. Subgrid Flux and Locality of Energy Transfer
We establish and discuss a priori estimates on subgrid stress and subgrid flux for filtering schemes used in the turbulence modelling method of Large-Eddy Simulation (LES). Our estimates are…
Gregory L. EyinkFeb 19, 1996
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Metric structures of inviscid flows
An intrinsic metric tensor, a flat connexion and the corresponding distance-like function are constructed in the configuration space formed by velocity field and the thermodynamic variables of…
Rubén A. PasmanterFeb 15, 1996
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Surface Structure and Catalytic CO Oxidation Oscillations
A cellular automaton model is used to describe the dynamics of the catalytic oxidation of CO on a Pt(100) surface. The cellular automaton rules account for the structural phase transformations of…
R. Danielak, A. Perera, M. Moreau et al.Feb 13, 1996
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Spiral Waves in Chaotic Systems
Spiral waves are investigated in chemical systems whose underlying spatially-homogeneous dynamics is governed by a deterministic chaotic attractor. We show how the local periodic behavior in the…
Andrei Goryachev, Raymond KapralFeb 12, 1996
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Closed-Form Expressions for the Noncompact Part of Sp(2n)
In a comment on the paper of Habib and Ryne, chao-dyn/9406010 and Phys.Rev.Lett. vol.74, 70 (1995), I point out that the Iwasawa decomposition of the symplectic group can be used to write down…
Ivan GjajaFeb 10, 1996
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Chronotopic Lyapunov Analysis: (II) towards a Unified Approach
From the analyticity properties of the equation governing infinitesimal perturbations, it is shown that all stability properties of spatially extended 1D systems can be derived from a single function…
Stefano Lepri, Antonio Politi, Alessandro TorciniFeb 9, 1996
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Stochastic stability versus localization in chaotic dynamical systems
We prove stochastic stability of chaotic maps for a general class of Markov random perturbations (including singular ones) satisfying some kind of mixing conditions. One of the consequences of this…
Michael Blank, Gerhard KellerFeb 9, 1996
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Application of the diffraction trace formula to the three disk scattering system
The diffraction trace formula ( Phys. Rev. Lett. 73, 2304 (1994)) and spectral determinant are tested on the open three disk scattering system. The system contains a generic and…
Per E. Rosenqvist, Gabor Vattay, Andreas WirzbaFeb 8, 1996
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Generalized Coherent States and Spin S≥ 1 Systems
Generalized Coherent States (GCS) are constructed (and discussed) in order to study quasiclassical behaviour of quantum spin models of the Heisenberg type. Several such models are taken to their…
V. G. Makhankov, M. Agüero Granados, A. V. MakhankovFeb 8, 1996
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