Results 1 to 10 of about 18,403 (266)

Scaling of fluctuations and critical exponents

Journal of Statistical Physics, 1996
We present a new technique to describe the abnormal behavior of certain fluctuation observables in the critical regime of quantum statistical systems which undergo a phase transition. The idea is to rescale the local fluctuation operators by a relevant external parameter of the system, in addition to the usual scaling with the inverse square root of ...
M. Broidioi, M. Van Canneyt
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Scale-free Network with Variable Scaling Exponent

2010 International Workshop on Chaos-Fractal Theories and Applications, 2010
In line with the BA model, we propose a new growing network, Group preferential model, which incorporates a precise evolving mechanism. And from the perspective of Markov chain, explicit formulas are derived analytically characterizing the evolution and distribution of degree, which is scale-free with scaling exponent related with parameter m.
Bing Ye, Zhenting Hou, Xiang Kong
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Scaling Exponents near the Onset of Turbulence

Physical Review Letters, 1995
Velocity measurements made in the wake of a circular cylinder near the onset of turbulence have been analyzed to determine various scaling exponents. One conclusion is the apparent divergence of a correlation length as one approaches a ``critical'' Reynolds number.
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Scaling exponents estimation from time-scale energy distributions

[Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, 1992
It is shown using some examples that the problem of estimating the evolution of scaling exponents characterizing locally a self-similar process can be efficiently handled within the general framework of time-scale energy distributions related to the wavelength transform.
Gonçalves, Paulo, Flandrin, Patrick
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Scaling exponents at the mobility edge

Physica A: Statistical Mechanics and its Applications, 1990
Abstract Numerical results are presented for the critical exponents at the Anderson metal-insulator transition in three-dimensional disordered systems and two-dimensional systems in the presence of random spin-orbit coupling. The critical exponent v for the localization length and the η exponent describing correlations, the distributions ...
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Scaling of Lyapunov exponents of coupled chaotic systems

Physical Review E, 2000
We develop a statistical theory of the coupling sensitivity of chaos. The effect was first described by Daido [Prog. Theor. Phys. 72, 853 (1984)]; it appears as a logarithmic singularity in the Lyapunov exponent in coupled chaotic systems at very small couplings.
Zillmer, Rüdiger, Ahlers, Volker, Pikovskij, Arkadij (Prof. Dr.)   +2 more
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Universal scaling of Lyapunov exponents

Journal of Physics A: Mathematical and General, 1997
Summary: We prove numerically for the first time that the lower part of the spectrum of the transfer matrix of the quasi-one-dimensional disordered system is strongly correlated in the neighbourhood of the critical point of the metal-insulator transition. In particular, the disorder and the system size dependence of the spectrum is governed only by one
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Critical Exponents and Renormalization in the φ4 Scaling Limit

1976
For dimensions d ≤ 3, the ⌽4 scaling limit defines a nonrenormalizable field theory. The standard relations between critical exponents and renormalization are presented. Arguments supporting the existence of the scaling limit are based on correlation inequalities and the numerical values of Ising model exponents, \( 2\eta _ \ne ^ < \eta _E \) for d=2,3.
J. Glimm, A. Jaffe
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Cancellation exponents and fractal scaling

Physical Review E, 1994
, Bertozzi, , Chhabra
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Scaling of the uncertainty exponent

Physical Review A, 1986
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