Quantum noise-induced chaotic oscillationsWe examine the weak quantum noise limit of Wigner equation for phase space distribution functions. It has been shown that the leading order quantum noise described in terms of an auxiliary…Bidhan Chandra Bag, Deb Shankar Ray·Sep 9, 1999SaveLearn
Statistics of Transverse Velocity Differences in TurbulenceAn unusual symmetry of the equation for the generating function of transverse velocity differences Δv=v(x+r)-v(x) is used to obtain a closed equation for the probability density function P(Δv,r)…Victor Yakhot·Sep 9, 1999SaveLearn
Non Perturbative Destruction of Localization in the Quantum Kicked Particle ProblemThe angle coordinate of the Quantum Kicked Rotator problem is treated as if it were an extended coordinate. A new mechanism for destruction of coherence by noise is analyzed using both heuristic and…Doron Cohen·Sep 9, 1999SaveLearn
Large Petermann factor in chaotic cavities with many scattering channelsThe quantum-limited linewidth of a laser cavity is enhanced above the Schawlow-Townes value by the Petermann factor K, due to the non-orthogonality of the cavity modes. The average Petermann factor…K. Frahm, H. Schomerus, M. Patra et al.·Sep 8, 1999SaveLearn
Closed almost-periodic orbits in semiclassical quantization of generic polygonsPeriodic orbits are the central ingredients of modern semiclassical theories and corrections to these are generally non-classical in origin. We show here that for the class of generic polygonal…Debabrata Biswas·Sep 7, 1999SaveLearn
Trace identities and their semiclassical implicationsThe compatibility of the semiclassical quantization of area-preserving maps with some exact identities which follow from the unitarity of the quantum evolution operator is discussed. The quantum…Uzy Smilansky·Sep 7, 1999SaveLearn
Lyapunov exponents and Kolmogorov-Sinai entropy for a high-dimensional convex billiardWe compute the Lyapunov exponents and the Kolmogorov-Sinai (KS) entropy for a self-bound N-body system that is realized as a convex billiard. This system exhibits truly high-dimensional chaos, and…Thomas Papenbrock·Sep 6, 1999SaveLearn
Semiclassical Quantization by Pade Approximant to Periodic Orbit SumsPeriodic orbit quantization requires an analytic continuation of non-convergent semiclassical trace formulae. We propose a method for semiclassical quantization based upon the Pade approximant to the…J. Main, P. A. Dando, Dz. Belkic et al.·Sep 6, 1999SaveLearn
An experimental test of the local fluctuation theorem in chains of weakly interacting Anosov systemsAn experimental test of a large fluctuation theorem is performed on a chain of coupled ``cat maps''. Our interest is focused on the behavior of a subsystem of this chain. A local entropy…Giovanni Gallavotti, Fabio Perroni·Sep 2, 1999SaveLearn
Semiclassical Theory of h/e Aharonov-Bohm Oscillation in Ballistic RegimesWe study the magneto-transport in Aharonov-Bohm (AB) billiards forming doubly connected structures. In these systems, non-averaged conductance oscillates as a function of magnetic flux with period…Shiro Kawabata·Sep 1, 1999SaveLearn
Chaotic Rydberg atoms with broken time-reversal symmetryThe dynamics of Rydberg states of atomic hydrogen perturbed simultaneously by a static electric field and a resonant microwave field of elliptical polarization is analysed in the quantum perturbative…Krzysztof Sacha, Jakub Zakrzewski, Dominique Delande·Sep 1, 1999SaveLearn
The Gallavotti-Cohen Fluctuation Theorem for a non-chaotic modelWe test the applicability of the Gallavotti-Cohen fluctuation formula on a nonequilibrium version of the periodic Ehrenfest wind-tree model. This is a one-particle system whose dynamics is rather…S. Lepri, L. Rondoni, G. Benettin·Aug 31, 1999SaveLearn
About coherent structures in random shell models for passive scalar advectionA study of anomalous scaling in models of passive scalar advection in terms of singular coherent structures is proposed. The stochastic dynamical system considered is a shell model reformulation of…L. Biferale, I. Daumont, T. Dombre et al.·Aug 30, 1999SaveLearn
Transport in perturbed integrable Hamiltonian systems and the fractality of phase spaceWe study transport in a model perturbed integrable Hamiltonian system by calculating the volume, V(t), of elementary phase space cells visited by a trajectory, as a function of time. We use this…H. Varvoglis, Ch. Vozikis, B. Barbanis·Aug 27, 1999SaveLearn
A Century of Controversy over the Foundations of MathematicsThis is the transcript of a lecture given at UMass-Lowell in which I compare and contrast the work of Godel and of Turing and my own work on incompleteness. I also discuss randomness in physics vs…G. J. Chaitin·Aug 27, 1999SaveLearn
Mixing property of triangular billiardsWe present numerical evidence which strongly suggests that irrational triangular billiards (all angles irrational with π) are mixing. Since these systems are known to have zero Kolmogorov-Sinai…Giulio Casati, Tomaz Prosen·Aug 26, 1999SaveLearn
Momentum conservation implies anomalous energy transport in 1d classical latticesUnder quite general conditions, we prove that for classical many-body lattice Hamiltonians in one dimension (1D) total momentum conservation implies anomalous conductivity in the sense of the…Tomaz Prosen, David K. Campbell·Aug 26, 1999SaveLearn
Chaos and information entropy productionWe consider a general N-degree-of-freedom nonlinear Hamiltonian system which is chaotic and dissipative and show that the origin of chaotic diffusion lies in the correlation of fluctuation of linear…Bidhan Chandra Bag, Jyotipratim Ray Chaudhuri, Deb Shankar Ray·Aug 24, 1999SaveLearn
Uniform approximations for non-generic bifurcation scenatios including bifurcations of ghost orbitsGutzwiller's trace formula allows interpreting the density of states of a classically chaotic quantum system in terms of classical periodic orbits. It diverges when periodic orbits undergo…T. Bartsch, J. Main, G. Wunner·Aug 18, 1999SaveLearn
Hydrodynamic Lyapunov Modes in Translation Invariant SystemsWe study the implications of translation invariance on the tangent dynamics of extended dynamical systems, within a random matrix approximation. In a model system, we show the existence of…Jean-Pierre Eckmann, Omri Gat·Aug 18, 1999SaveLearn
Easy turbulenceThis is an introductory course on fully developed turbulence. It discusses: in Lecture 1: the Navier Stokes equations, existence of solutions, statistical description, energy balance and cascade…Krzysztof Gawedzki·Aug 18, 1999SaveLearn
Invariant sets for discontinuous parabolic area-preserving torus mapsWe analyze a class of piecewise linear parabolic maps on the torus, namely those obtained by considering a linear map with double eigenvalue one and taking modulo one in each component. We show that…Peter Ashwin, Xin-Chu Fu, Takashi Nishikawa et al.·Aug 17, 1999SaveLearn
Directed current due to broken time-space symmetryWe consider the classical dynamics of a particle in a one-dimensional space-periodic potential U(X) = U(X+2π) under the influence of a time-periodic space-homogeneous external field E(t)=E(t+T). If…S. Flach, O. Yevtushenko, Y. Zolotaryuk·Aug 12, 1999SaveLearn
Digital Communication Using Chaotic Pulse GeneratorsUtilization of chaotic signals for covert communications remains a very promising practical application. Multiple studies indicated that the major shortcoming of recently proposed chaos-based…N. F. Rulkov, M. M. Sushchik, L. S. Tsimring et al.·Aug 12, 1999SaveLearn
Controlling spatiotemporal chaos via small external forcesThe spatiotemporal chaos in the system described by a one-dimensional nonlinear drift-wave equation is controlled by directly adding a periodic force with appropriately chosen frequencies. By…Shunguang Wu, Kaifen He, Zuqia Huang·Aug 8, 1999SaveLearn