Time Dependent Resonance TheoryAn important class of resonance problems involves the study of perturbations of systems having embedded eigenvalues in their continuous spectrum. Problems with this mathematical structure arise in…A. Soffer, M. I. Weinstein·Apr 20, 1998SaveLearn
Invariants and Labels in Lie-Poisson SystemsReduction is a process that uses symmetry to lower the order of a Hamiltonian system. The new variables in the reduced picture are often not canonical: there are no clear variables representing…Jean-Luc Thiffeault, P. J. Morrison·Apr 20, 1998SaveLearn
Renormalization group equations and integrability in Hamiltonian systemsWe investigate Hamiltonian systems with two degrees of freedom by using renormalization group method. We show that the original Hamiltonian systems and the renormalization group equations are…Yoshiyuki Y. Yamaguchi, Yasusada Nambu·Apr 18, 1998SaveLearn
A Renormalization Group for Hamiltonians: Numerical ResultsWe describe a renormalization group transformation that is related to the breakup of golden invariant tori in Hamiltonian systems with two degrees of freedom. This transformation applies to a large…Juan J. Abad, Hans Koch, Peter Wittwer·Apr 17, 1998SaveLearn
Coherence, space non-locality and lacunarity in a cascade model of turbulenceWe use multiscale-multispace correlations and Fourier transform techniques, to study some intermittent random field properties, which escape analysis by structure function scaling. These properties…Piero Olla, Paolo Paradisi·Apr 16, 1998SaveLearn
Spatial correlations of singularity strengths in multifractal branching processesThe n-point statistics of singularity strength variables for multiplicative branching processes is calculated from an analytic expression of the corresponding multivariate generating function. The…Martin Greiner, Juergen Schmiegel, Felix Eickemeyer et al.·Apr 16, 1998SaveLearn
Hysteresis in Adiabatic Dynamical Systems: an IntroductionWe give a nontechnical description of the behaviour of dynamical systems governed by two distinct time scales. We discuss in particular memory effects, such as bifurcation delay and hysteresis, and…Nils Berglund·Apr 16, 1998SaveLearn
Semiclassical Spectra and Diagonal Matrix Elements by Harmonic Inversion of Cross-Correlated Periodic Orbit SumsSemiclassical spectra weighted with products of diagonal matrix elements of operators Aalpha, i.e., galpha alpha'(E) = sumn <n|Aalpha|n><n|Aalpha'|n>/(E-En) are obtained by…J. Main, K. Weibert, V. A. Mandelshtam et al.·Apr 14, 1998SaveLearn
The Camassa-Holm equations as a closure model for turbulent channel flowWe propose the viscous Camassa-Holm equations as a closure approximation for the Reynolds-averaged equations of the incompressible Navier-Stokes fluid. This approximation is tested on turbulent…Shiyi Chen, Ciprian Foias, Darryl D. Holm et al.·Apr 14, 1998SaveLearn
Analytic multivariate generating function for random multiplicative cascade processesWe have found an analytic expression for the multivariate generating function governing all n-point statistics of random multiplicative cascade processes. The variable appropriate for this generating…Martin Greiner, Hans C. Eggers, Peter Lipa·Apr 13, 1998SaveLearn
Fingerprints of ChaosThe asymptotic distance between trajectories d∞, is studied in detail to characterize the occurrence of chaos. We show that this quantity is quite distinct and complementary to the Lyapunov…Virgil Baran, Aldo Bonasera·Apr 13, 1998SaveLearn
Spectral Decomposition of the Tent Map with Varying HeightThe generalized spectral decomposition of the Frobenius-Perron operator of the tent map with varying height is determined at the band-splitting points. The decomposition includes both decay onto the…S. Subbiah, D. J. Driebe·Apr 10, 1998SaveLearn
Scaled Spectroscopy of 1Se and 1Po Highly Excited States of HeliumIn this paper, we examine the properties of the 1Se and 1Po states of helium, combining perimetric coordinates and complex rotation methods. We compute Fourier transforms of quantities of physical…B. Gremaud, P. Gaspard·Apr 10, 1998SaveLearn
(Global and Local) Fluctuations of Phase Space Contraction in Deterministic Stationary Non-equilibriumWe studied numerically the validity of the fluctuation theorem, introduced by Evans,Cohen and Morris and proved by Gallavotti and Cohen, for a 2-dimensional system of particles maintained in a steady…F. Bonetto, N. I. Chernov, J. L. Lebowitz·Apr 9, 1998SaveLearn
Entropy Production : From Open Volume Preserving to Dissipative SystemsWe generalize Gaspard's method for computing the ε-entropy production rate in Hamiltonian systems to dissipative systems with attractors considered earlier by Tél, Vollmer, and Breymann. This…T. Gilbert, J. R. Dorfman·Apr 8, 1998SaveLearn
Chaotic and fractal properties of deterministic diffusion-reaction processesWe study the consequences of deterministic chaos for diffusion-controlled reaction. As an example, we analyze a diffusive-reactive deterministic multibaker and a parameter-dependent variation of it.…P. Gaspard, R. Klages·Apr 8, 1998SaveLearn
Proper initial conditions for the lubrication model of the flow of a thin film of fluidA lubrication model describes the dynamics of a thin layer of fluid spreading over a solid substrate. But to make forecasts we need to supply correct initial conditions to the model. Remarkably, the…S. A. Suslov, A. J. Roberts·Apr 8, 1998SaveLearn
Homoclinic splitting, II. A possible counterexample to a claim by Rudnev and Wiggins on Physica DResults in the mentioned paper do not seem valid.G. Gallavotti, G. Gentile, V. Mastropietro·Apr 7, 1998SaveLearn
Numerical verification of Percival's conjecture in a quantum billiardIn order to verify Percival's conjecture [J. Phys. B 6,L229 (1973)] we study a planar billiard in its classical and quantum versions. We provide an evaluation of the nearest-neighbor…Gabriel Carlo, Eduardo Vergini, Alejandro Fendrik·Apr 7, 1998SaveLearn
Relaxation Fluctuations in Quantum ChaosRelaxation in the time correlation between operators is studied. Quantized chaotic systems are shown to have distinct relaxation fluctuations that are universal and can be usefully modelled by Random…Arul Lakshminarayan·Apr 7, 1998SaveLearn
Perturbation Theory for the Breakdown of Mean-Field Kinetics in Oscillatory Reaction-Diffusion SystemsSpatially-distributed, nonequilibrium chemical systems described by a Markov chain model are considered. The evolution of such systems arises from a combination of local birth-death reactive events…Mikhail V. Velikanov, Raymond Kapral·Apr 6, 1998SaveLearn
Quantizing Billiards with Arbitrary TrajectoriesThe structure of the semiclassical trace formula can be used to construct a quasi-classical evolution operator whose spectrum has a one-to-one correspondence with the semiclassical quantum spectrum.…Debabrata Biswas·Apr 6, 1998SaveLearn
Effect of Boundary Conditions on Fluctuations MeasuresA change in boundary conditions (BC) from uniform Dirichlet to non-identical BC on the edges of a triangular billiard often brings about a dramatic change in quantum spectral fluctuations. We provide…Debabrata Biswas·Apr 6, 1998SaveLearn
Localized Structures Embedded in the Eigenfunctions of Chaotic Hamiltonian SystemsWe study quantum localization phenomena in chaotic systems with a parameter. The parametric motion of energy levels proceeds without crossing any other and the defined avoided crossings quantify the…E. Vergini, D. A. Wisniacki·Apr 6, 1998SaveLearn
Detection of Coherent Vorticity Structures using Time-Scale Resolved Acoustic SpectroscopyWe describe here an experimental technique based on the acoustic scattering phenomenon allowing the direct probing of the vorticity field in a turbulent flow. Using time-frequency distributions,…Christophe Baudet, Olivier Michel, William J. Williams·Apr 3, 1998SaveLearn