Results 181 to 190 of about 15,101 (215)

Multifractal electronic wave functions in disordered systems

Journal of Luminescence, 1992
Abstract To investigate the electronic states in disordered samples we diagonalize very large secular matrices corresponding to the Anderson Hamiltonian. The resulting probability density of single electronic eigenstates in 1-, 2-, and 3-dimensional samples is analysed by means of a box-counting procedure. By linear regression we obtain the Lipschitz-
Heiko Grussbach, Michael Schreiber
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Multifractal description of singular measures in dynamical systems

Physical Review A, 1987
We analyze the recent work by Halsey et al. [Phys. Rev. A 33, 1141 (1986)] on the characterization of certain singular measures in dynamical systems in terms of algebraic singularities of strength \ensuremath{\alpha} and their dimensions f(\ensuremath{\alpha}).
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Biased diffusion in percolation systems: indication of multifractal behaviour

Journal of Physics A: Mathematical and General, 1987
The authors study diffusion in percolation systems at criticality in the presence of a constant bias field E. Using the exact enumeration method they show that the mean displacement of a random walker varies as (r(t)) approximately log t/A(E) where A/(E)=In((1+E)/(1-E)) for small E. More generally, diffusion on a given configuration is characterised by
Bunde A., Harder H., Havlin S., Eduardo Roman H.   +3 more
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Multifractality and scaling in disordered mesoscopic systems

Zeitschrift f�r Physik B Condensed Matter, 1991
We suggest a new method for investigating scaling properties of mesoscopic observables and their distributions in disordered systems showing metal-insulator transition. In such systems quantum interference effects lead to multifractal structure of eigenstates on scales much smaller than the correlation length of the transition which can be described by
Werner Pook, Martin Jan�en
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Multifractal Bernoulli fluctuations in disordered mesoscopic systems

Journal of Physics A: Mathematical and General, 1998
Summary: It is shown that multifractal Bernoulli fluctuations appear at morphological phase transition from monofractality to multifractality. This type of fluctuation is studied in detail and it is shown that the multifractal fluctuations of wavefunctions at disorder-induced localization-delocalization transitions can be identified as multifractal ...
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Multifractal Intermittency and Ensemble Prediction Systems

2018
The question of intrinsic predictability limits of atmospheric processes can be traced back to the end of the 1950’s and first attempts to assess the potential gain in predictability with an increase of the meteorological network res- olution. Thompson (1957) studied the nonlinear uncertainty growth due to errors in the initial conditions resulting ...
Schertzer, D, Tchiguirinskaia, Ioulia, Vannitsem, Stéphane   +2 more
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Multifractal Specific Heat of Disordered Mesoscopic Systems

Modern Physics Letters B, 1998
It is shown that multifractal data on critical behavior of wavefunctions at the Anderson metal–insulator transition obtained in numerical simulations are in good agreement with constant specific-heat multifractal approximation for three and two dimensional cases (in the last case in high magnetic field).
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Modelling multifractal object boundaries using iterated function system

Canadian Conference on Electrical and Computer Engineering 2004 (IEEE Cat. No.04CH37513), 2004
This paper addresses the problem of approximation of arbitrary object boundaries that result from image segmentation. We present a new technique to reconstruct the self-similar boundaries with any fractal or multifractal dimension, using the iterated function system (IFS).
S. Siddiqui, A. El-Boustani, W. Kinsner
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Intermittent chaos and multifractal systems

Physical Review E, 1996
, Nakamura, , Yamakawa, , Kudo, , Matsuda, , Murata   +4 more
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Multifractal Phase-Space Distributions for Stationary Nonequilibrium Systems

2000
The phase-space density of stationary nonequilibrium particle systems is known to be a multifractal object with an information dimension smaller than the phase-space dimension. The rate of heat flowing through the system, divided by the Boltzmann constant and the kinetic temperature, is equal to the sum of the Lyapunov exponents.
H. A. Posch, R. Hirschl, Wm. G. Hoover
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