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Showing papers in "Physics Letters A in 1983"


Journal ArticleDOI
TL;DR: An action-angle representation of spin variables was used to relate the large-S Heisenberg antiferromagnet to the O(3) nonlinear sigma model quantum field theory, with precise equivalence for integral S as discussed by the authors.

1,855 citations


Journal ArticleDOI
TL;DR: In this paper, a superconducting ring of normal metal driven by an external magnetic flux acts like a Josephson junction, except that 2e is replaced by e.g.

894 citations


Journal ArticleDOI
TL;DR: In this article, it was shown that there is an infinity of generalized dimensions for strange attractors, related to the order-q Renyi entropies, and that these dimensions are monotonically decreasing with q.

861 citations


Journal ArticleDOI
TL;DR: In this paper, the synchronization of noise-induced transition processes is studied with the help of a simple electronic bistable system and it is shown that stochastic resonance occurs when the Kramers characteristic transition time equals the external forcing period.

683 citations


Journal ArticleDOI
TL;DR: In this article, the soliton solutions of the KdV and KP equations are written in wronskian form and shown by direct substitution to satisfy the equations and the associated Backlund transformation.

474 citations


Journal ArticleDOI
TL;DR: In this paper, a scaling exponent for the final-state-uncertain phase space volume dependence on uncertainty in initial conditions is defined and related to the fractal dimension of basin boundaries.

292 citations


Journal ArticleDOI
TL;DR: In this paper, the linear integral equation for the solutions of the Korteweg-de Vries (KdV) equation is derived from the direct linearization of a general nonlinear difference-difference equation.

242 citations


Journal ArticleDOI
TL;DR: In this article, it was shown that the classical Calogero-Moser system of N particles and its higher flows are superintegrable in the sense that they have 2 N − 1 global, functionally independent, single valued integrals of motion not depending explicitly on time.

236 citations


Journal ArticleDOI
TL;DR: By means of a Backlund transformation for the Boussinesq equation in bilinear form, the wronskian form of the N-soliton solution of that equation is deduced as discussed by the authors.

228 citations


Journal ArticleDOI
TL;DR: In this paper, the equilibrium distribution function for Gauss' principle of least constraint has been combined with Doll's tensor methods to generate equations of motion for which the ideal gas temperature and the hydrostatic pressure are constants of the motion.

169 citations


Journal ArticleDOI
TL;DR: In this article, an exact solution to describe the coalescence of two traveling fronts of the same sense into a front connecting two stable constant states is found in terms of the direct method for a simple nonlinear diffusion equation.

Journal ArticleDOI
TL;DR: In this article, a set of coupled ordinary nonlinear differential equations is treated and it is shown that for each trajectory which belongs to an attractor (or to its basin) and which does not contain a fixed point, at least one Lyapunov exponent vanishes.

Journal ArticleDOI
TL;DR: In this article, the Gibbs free energy of a dilute suspension of charged spherical particles is investigated and a minimum with a depth large enough to exceed the thermal energy and to lead to the ordering formation is proved.

Journal ArticleDOI
TL;DR: In this article, an upper limit of 10-42 cm-2 is placed on the absolute value of the cosmological constant by comparing with the prediction of the perihelion shift of Mercury.

Journal ArticleDOI
TL;DR: Based on the calculated potentials of atomic and molecular hydrogen in the silicon lattice by the modified neglect of diatomic overlap (MNDO) method, the formation of hydrogen molecules in Si is predicted and the numerous experimental results are reinterpreted to give a unified picture of the state of H in Si.

Journal ArticleDOI
TL;DR: In this article, a local realistic model, involving just one angular hidden variable, giving predictions for the coincidence counts in atomic cascade experiments, which come extremely close to those of the quantum-mechanical model, and which fit the experimental data as closely as do the predictions of that model.

Journal ArticleDOI
TL;DR: Using Hirota's technique, a Backlund transformation for the nonlinear Schrodinger equation is obtained in this article, where the arbitrary constants which appear in the Backlund transform are found for the transformation between soliton solutions.

Journal ArticleDOI
TL;DR: In this paper, a slightly overstable 2-d thermohaline convection in a horizontally infinite domain is governed by coupled Ginzburg-Landau equations with complex coefficients whose statistically steady solutions exhibit intermittency in space and time.

Journal ArticleDOI
TL;DR: In this article, a three-dimensional map is proposed to model the effects of periodic forcing on a system displaying a transition to chaos through a cascade of period-doubling bifurcations.

Journal ArticleDOI
TL;DR: In this paper, the relation between binding energy and nonlinearity of a stationary soliton solution for a difference-differential equation of the nonlinear Schrodinger type has been investigated.

Journal ArticleDOI
TL;DR: In this article, the spectrum dependence of an autoionizing resonance in photoabsorption on the autoencoder state population was studied and the possibility arises of obtaining amplified radiation in the region of the photo absorbing minimum without population inversion.

Journal ArticleDOI
TL;DR: In this article, the results of a search for all integrable hamiltonian systems of type H = ( 1 2 )p x 2 + p y 2 + V(x,y), where V is a polynomial in x and y of degree 5 or less and the second invariant is a polytope in px and py of order 4 or less.

Journal ArticleDOI
TL;DR: In this paper, a simple model of the oscillating peroxidase-oxyidase reaction is presented, which is capable of reproducing all previously observed dynamic patterns exhibited by the experimental system including its chaotic behaviour.

Journal ArticleDOI
TL;DR: In this paper, the authors investigated the problem of front propagation in bistable media with fluctuating properties and derived explicit formulas for the induced variations of the propagating speed and the dispersion of the front position.

Journal ArticleDOI
TL;DR: A series of undoped LiNbO3 crystals have been subjected to heat treatments in a reducing atmosphere, i.e., a vacuum as discussed by the authors, and optical absorption peaking near 500 nm was observed to change as a function of annealing temperature.

Journal ArticleDOI
TL;DR: The case in which the flow is representable by the known Clebsch potentials is analyzed in this paper, where expressions satisfied by the vortex momentum density are derived and transformed into hamiltonian form.

Journal ArticleDOI
TL;DR: In this paper, the authors re-measured the fractal dimension of the Henon attractor by direct box-counting and observed that the number of boxes visited after n iterations obeys a scaling law.

Journal ArticleDOI
TL;DR: The existence of longitudinal Ampere forces at solid-liquid conductor interfaces has been demonstrated by various investigators during the past 160 years as mentioned in this paper, including the first report of pulse currents creating sufficient tension to cause fracture in hot copper and aluminum wires.

Journal ArticleDOI
TL;DR: In this article, the rational solutions of the Korteweg-de Vries equation are obtained as limits of the soliton solutions in wronskian form and these solutions are verified by direct substitution using a novel determinantal identity.

Journal ArticleDOI
TL;DR: An automaton whose states are solutions of quantum-mechanical equations of motion is described in this paper, and the capacities of such an automaton to measure and to know and to predict certain physical properties of the world are considered.