Classical Kolmogorov scaling is inconsistent with local couplingWe consider cascade models of turbulence which are obtained by restricting the Navier-Stokes equation to local interactions. By combining the results of the method of extended self-similarity and a…C. Uhlig, J. Eggers·Jul 15, 1996SaveLearn
Statistical Description of Acoustic TurbulenceWe develop expressions for the nonlinear wave damping and frequency correction of a field of random, spatially homogeneous, acoustic waves. The implications for the nature of the equilibrium spectral…Victor S. L'vov, . Yu. L'vov, A. C. Newell et al.·Jul 14, 1996SaveLearn
Towards a Nonperturbative Theory of Hydrodynamic Turbulence:Fusion Rules, Exact Bridge Relations and Anomalous Viscous Scaling FunctionsIn this paper we derive here, on the basis of the NS eqs. a set of fusion rules for correlations of velocity differences when all the separation are in the inertial interval. Using this we consider…Victor S. L'vov, Itamar Procaccia·Jul 14, 1996SaveLearn
Exploring Periodic Orbit Expansions and Renormalisation with the Quantum Triangular BilliardA study of the quantum triangular billiard requires consideration of a boundary value problem for the Green's function of the Laplacian on a trianglar domain. Our main result is a reformulation…Carmelo Pisani·Jul 9, 1996SaveLearn
Effect of Chaotic Noise on Multistable SystemsIn a recent letter [Phys.Rev.Lett. 30, 3269 (1995), chao-dyn/9510011], we reported that a macroscopic chaotic determinism emerges in a multistable system: the unidirectional motion of a…Tsuyoshi Hondou, Yasuji Sawada·Jul 8, 1996SaveLearn
Backscattering-Induced Crossover in Deterministic DiffusionWe study diffusion in a one-dimensional periodic array of scatterers modeled by a simple map. The chaotic scattering process for this map can be changed by a control parameter and exhibits the…R. Klages, J. R. Dorfman·Jul 7, 1996SaveLearn
Study of Chaos and Scaling in Classical SU(2) Gauge TheoryFollowing a recent suggestion by Nielsen, Rugh, and Rugh, we study the energy scaling of the maximal Lyapunov exponent of classical Hamiltonian SU(2) lattice gauge theory. It is shown that the…Berndt Müller·Jul 6, 1996SaveLearn
Non--Hyperbolic Dynamics: a Family of Special FunctionsIn this paper we present some theorems for a class of non--hyperbolic fixed points on RN and then analyze a family of functions fθ on the plane which have a non--hyperbolic fixed point in…Maria Morandi Cecchi, Luca Salasnich·Jul 6, 1996SaveLearn
The role of tank-treading motions in the transverse migration of a spheroidal vesicle in a shear flowThe behavior of a spheroidal vesicle, in a plane shear flow bounded from one side by a wall, is analysed when the distance from the wall is much larger than the spheroid radius. It is found that tank…Piero Olla·Jul 4, 1996SaveLearn
Fractalization of Torus Revisited as a Strange Nonchaotic AttractorFractalization of torus and its transition to chaos in a quasi-periodically forced logistic map is re-investigated in relation with a strange nonchaotic attractor, with the aid of functional equation…Takashi Nishikawa, Kunihiko Kaneko·Jul 3, 1996SaveLearn
The Viscous Lengths in Hydrodynamic Turbulence are Anomalous Scaling FunctionsIt is shown that the idea that scaling behavior in turbulence is limited by one outer length L and one inner length η is untenable. Every n'th order correlation function of velocity…Victor S. L'vov, Itamar Procaccia·Jul 3, 1996SaveLearn
Fusion Rules and Conditional Statistics in Turbulent AdvectionFusion rules in turbulence address the asymptotic properties of many-point correlation functions when some of the coordinates are very close to each other. Here we put to experimental test some…Emily S. C. Ching, Victor S. L'vov, Itamar Procaccia·Jul 2, 1996SaveLearn
Hopf's last hope: spatiotemporal chaos in terms of unstable recurrent patternsSpatiotemporally chaotic dynamics of a Kuramoto-Sivashinsky system is described by means of an infinite hierarchy of its unstable spatiotemporally periodic solutions. An intrinsic parametrization of…Freddy Christiansen, Predrag Cvitanovic', Vakhtang Putkaradze·Jul 1, 1996SaveLearn
Hydrodynamic Turbulence: a 19th Century Problem with a challenge for the 21st CenturyThis is a paper written for the wider physics community, not necessarily experts in turbulence.Victor L'vov, Itamar Procaccia·Jul 1, 1996SaveLearn
Predictability in the large: an extension of the concept of Lyapunov exponentWe investigate the predictability problem in dynamical systems with many degrees of freedom and a wide spectrum of temporal scales. In particular, we study the case of 3D turbulence at high…E. Aurell, G. Boffetta, A. Crisanti et al.·Jun 28, 1996SaveLearn
Distribution of roots of random real generalized polynomialsThe average density of zeros for monic generalized polynomials, Pn(z)=ϕ(z)+Σk=1nckfk(z), with real holomorphic ϕ,fk and real Gaussian coefficients is expressed in terms of correlation…G. Andrei Mezincescu, Daniel Bessis, Jean-Daniel Fournier et al.·Jun 27, 1996SaveLearn
Instanton for random advectionA path integral over trajectories of 2n fluid particles is identified with a 2n-th order correlation function of a passive scalar convected by d-dimensional short-correlated multi-scale…M. Chertkov·Jun 27, 1996SaveLearn
The spectral form factor is not self-averagingThe spectral form factor, k(t), is the Fourier transform of the two level correlation function C(x), which is the averaged probability for finding two energy levels spaced x mean level spacings…R. E. Prange·Jun 26, 1996SaveLearn
Asymptotic formulae for the Lyapunov spectrum of fully-developed shell model turbulenceWe study the scaling behavior of the Lyapunov spectra of a chaotic shell model for 3D turbulence. First, we quantify localization of the Lyapunov vectors in the wavenumber space by using the…M. Yamada, K. Ohkitani·Jun 21, 1996SaveLearn
Analysis and Characterization of Complex Spatio-temporal Patterns in Nonlinear Reaction-Diffusion SystemsTwo important classes of spatio-temporal patterns, namely, spatio-temporal chaos and self-replicating patterns, for a representative three variable autocatalytic reaction mechanism coupled with…Nita Parekh, V. Ravi Kumar, B. D. Kulkarni·Jun 17, 1996SaveLearn
Viscosity of Colloidal SuspensionsSimple expressions are given for the Newtonian viscosity ηN(ϕ) as well as the viscoelastic behavior of the viscosity η(ϕ,ω) of neutral monodisperse hard sphere colloidal suspensions as a…R. Verberg, I. M. de Schepper, E. G. D. Cohen·Jun 17, 1996SaveLearn
Rayleigh-Ritz Calculation of Effective Potential Far From EquilibriumWe demonstrate the utility of a Rayleigh-Ritz scheme recently proposed to compute the nonequilibrium effective potential nonperturbatively in a strong noise regime far from equilibrium. A simple…Francis J. Alexander, Gregory L. Eyink·Jun 14, 1996SaveLearn
Lyapunov Exponents from Kinetic Theory for a Dilute, Field-driven Lorentz GasPositive and negative Lyapunov exponents for a dilute, random, two-dimensional Lorentz gas in an applied field, E, in a steady state at constant energy are computed to order E2. The…H. van Beijeren, J. R. Dorfman, E. G. D. Cohen et al.·Jun 14, 1996SaveLearn
Accuracy of Trace FormulasUsing quantum maps we study the accuracy of semiclassical trace formulas. The role of chaos in improving the semiclassical accuracy, in some systems, is demonstrated quantitatively. However, our…Arul Lakshminarayan·Jun 14, 1996SaveLearn
On the effect of pruning on the singularity structure of zeta functionsWe investigate the topological zeta function for unimodal maps in general and dynamical zeta functions for the tent map in particular. For the generic situation, when the kneading sequence is…Per Dahlqvist·Jun 13, 1996SaveLearn