How to Run Algorithmic Information Theory on a ComputerLecture given Friday 7 April 1995 at the Santa Fe Institute, Santa Fe, New Mexico. The lecture was videotaped; this is an edited transcript.G. J. Chaitin·Sep 18, 1995SaveLearn
A new scaling property of turbulent flowsWe discuss a possible theoretical interpretation of the self scaling property of turbulent flows (Extended Self Similarity). Our interpretation predicts that, even in cases when ESS is not observed,…R. Benzi, L. Biferale, S. Ciliberto et al.·Sep 18, 1995SaveLearn
Recursive Proportional Feedback and its Use to Control Chaos in an Electrochemical SystemThe recursive proportional feedback (RPF) algorithm for controlling chaos is described and applied to control chemical chaos observed during the electrodissolution of a rotating copper disk in a…R. W. Rollins, P. Parmananda, P. Sherard et al.·Sep 16, 1995SaveLearn
Wigner Random Banded Matrices with Sparse Structure: Local Spectral Density of StatesRandom banded matrices with linearly increasing diagonal elements are recently considered as an attractive model for complex nuclei and atoms. Apart from early papers by Wigner Wig there were…Y. V. Fyodorov, O. A. Chubykalo, F. M. Izrailev et al.·Sep 15, 1995SaveLearn
The Limits of Mathematics---Tutorial VersionThe latest in a series of reports presenting the information-theoretic incompleteness theorems of algorithmic information theory via algorithms written in specially designed versions of LISP.…G. J. Chaitin·Sep 13, 1995SaveLearn
Trace formulas and dynamical zeta functions in the Nielsen theoryIn this paper we prove the trace formulas for the Reidemeister numbers of group endomorphisms in the following cases:the group is finitely generated and an endomorphism is eventually commutative; the…Alexander Fel'shtyn, Richard Hill·Sep 8, 1995SaveLearn
Anomalous Scaling Exponents of a White-Advected Passive ScalarFor Kraichnan's problem of passive scalar advection by a velocity field delta-correlated in time, the limit of large space dimensionality d1 is considered. Scaling exponents of the scalar…M. Chertkov, G. Falkovich·Sep 7, 1995SaveLearn
On the intermittent energy transfer at viscous scales in turbulent flowsIn this letter we present numerical and experimental results on the scaling properties of velocity turbulent fields in the range of scales where viscous effects are acting. A generalized version of…R. Benzi, L. Biferale, S. Ciliberto et al.·Sep 7, 1995SaveLearn
Edge Diffraction, Trace Formulae and the Cardioid BilliardWe study the effect of edge diffraction on the semiclassical analysis of two dimensional quantum systems by deriving a trace formula which incorporates paths hitting any number of vertices embedded…Henrik Bruus, Niall D. Whelan·Sep 6, 1995SaveLearn
A rigorous implementation of the Jeans--Landau--Teller approximationRigorous bounds on the rate of energy exchanges between vibrational and translational degrees of freedom are established in simple classical models of diatomic molecules. The results are in agreement…G. Benettin, A. Carati, G. Gallavotti·Sep 6, 1995SaveLearn
Turbulent Heating in the Solar Wind and in the Solar CoronaIn this paper we calculate the turbulent heating rates in the solar wind using the Kolmogorov-like MHD turbulence phenomenology with Kolmogorov's constants calculated by Verma and…Mahendra K. Verma·Sep 5, 1995SaveLearn
Direct Interaction Approximation of Magnetohydrodynamic TurbulenceIn this paper we apply Kraichnan's direct interaction approximation, which is a one loop perturbation expansion, to magnetohydrodynamic turbulence. By substituting the energy spectra both from…Mahendra K. Verma, Jayant K. Bhattacharjee·Sep 5, 1995SaveLearn
Anomalous Viscosity, Resistivity, and Thermal Diffusivity of the Solar Wind PlasmaIn this paper we have estimated typical anomalous viscosity, resistivity, and thermal difffusivity of the solar wind plasma. Since the solar wind is collsionless plasma, we have assumed that the…Mahendra K. Verma·Sep 5, 1995SaveLearn
Computation of Kolmogorov's Constant in Magnetohydrodynamic TurbulenceIn this paper we calculate Kolmogorov's constant for magnetohydrodynamic turbulence to one loop order in perturbation theory using the direct interaction approximation technique of Kraichnan. We…Mahendra K. Verma, Jayant K. Bhattacharjee·Sep 5, 1995SaveLearn
Classical and quantum dynamics of the n-dimensional kicked rotatorThe classical and quantum dynamics for an n-dimensional generalization of the kicked planar (n=1) rotator in an additional effective centrifugal potential. Therefore, typical phenomena like the…Georg Junker, Harald Karl, Hajo Leschke·Aug 31, 1995SaveLearn
Bifurcation at Complex InstabilityThe properties of motion close to the transition of a stable family of periodic orbits to complex instability is investigated with two symplectic 4D mappings, natural extensions of the standard…Mercè Ollé, Daniel Pfenniger·Aug 31, 1995SaveLearn
On the role of inviscid invariants in shell models of turbulenceNon-positive definite, global inviscid invariants similar to helicity are discussed for two types of shell models and evidence for a new role for helicity in Navier-Stokes turbulence is presented. It…L. Biferale, R. Kerr·Aug 28, 1995SaveLearn
Semiclassical form factor of matrix element fluctuationsWe analyze within a semiclassical approximation the form factor for the fluctuations of quantum matrix elements around their classical average. We find two contributions: one is proportional to the…Bruno Eckhardt, Joerg Main·Aug 17, 1995SaveLearn
The Role of Diffraction in the Quantization of Dispersing BilliardsWe study diffraction corrections to the semiclassical spectral density of dispersing (Sinai) billiards. They modify the contributions of periodic orbits (PO's), with at least one segment which is…Harel Primack, Holger Schanz, Uzy Smilansky et al.·Aug 13, 1995SaveLearn
A metaphor for adiabatic evolution to symmetryIn this paper we study a Hamiltonian system with a spatially asymmetric potential. We are interested in the effects on the dynamics when the potential becomes symmetric slowly in time. We focus on a…R. J. A. G. Huveneers, F. Verhulst·Aug 11, 1995SaveLearn
Chaotic Evolution in Quantum MechanicsA quantum system is described, whose wave function has a complexity which increases exponentially with time. Namely, for any fixed orthonormal basis, the number of components required for an accurate…Asher Peres·Aug 11, 1995SaveLearn
The Fourth-Order Correlation Function of a Randomly Advected Passive ScalarAdvection of a passive scalar θ in d=2 by a large-scale velocity field rapidly changing in time is considered. The Gaussian feature of the passive scalar statistics in the convective interval was…E. Balkovsky, M. Chertkov, I. Kolokolov et al.·Aug 4, 1995SaveLearn
Simulating Three-Dimensional Hydrodynamics on a Cellular-Automata MachineWe demonstrate how three-dimensional fluid flow simulations can be carried out on the Cellular Automata Machine 8 (CAM-8), a special-purpose computer for cellular-automata computations. The principal…Christopher Adler, Bruce M. Boghosian, Eirik G. Flekkøy et al.·Aug 4, 1995SaveLearn
Exactly Conservative IntegratorsTraditional numerical discretizations of conservative systems generically yield an artificial secular drift of any nonlinear invariants. In this work we present an explicit nontraditional algorithm…B. A. Shadwick, John C. Bowman, P. J. Morrison·Aug 3, 1995SaveLearn
On inertial-range scaling lawsInertial-range scaling laws for two- and three-dimensional turbulence are re-examined within a unified framework. A new correction to Kolmogorov's k-5/3 scaling is derived for the energy…John C. Bowman·Aug 3, 1995SaveLearn