Comment on Exact analytical solution for the generalized Lyapunov exponent of the two-dimensional Anderson localization
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Fe b 20 04 Reply to Comment on “ Exact analytic solution for the generalized Lyapunov exponent of the 2 - dimensional Anderson localization ”
We reply to comments We demonstrate that our quite different viewpoints stem for the different physical assumptions made prior to the choice of the mathematical formalism. The authors of the Comment expect a priori to see a single thermodynamic phase while our approach is capable of detecting coexistence of distinct pure phases. The limitations of the transfer matrix techniques for the multi-di...
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The generalized Lyapunov exponents describe the growth of the second moments for a particular solution of the quasi-1D Schroedinger equation with initial conditions on the left end. Their possible application in the Anderson transition theory became recently a subject for controversy in the literature. The approach to the problem of the second moments advanced by Markos et al (cond-mat/0402068)...
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abstract this study evaluated and compared medical terminology and english for the students of medicine (ii) as two representatives of the textbooks available on the iranian market for teaching english to the students of medicine. this research was performed on the basis of a teacher’s and a number of students’ attitudes and the students’ needs analysis for two reasons: first, to investigate...
15 صفحه اولSingle-parameter scaling in one-dimensional Anderson localization: Exact analytical solution
The variance of the Lyapunov exponent is calculated exactly in the one-dimensional Anderson model with random site energies distributed according to the Cauchy distribution. We derive an exact analytical criterion for the validity of single-parameter scaling in this model. According to this criterion, states with energies within the conduction band of the underlying nonrandom system satisfy sin...
متن کاملAsymptotics for the Almost Sure Lyapunov Exponent for the Solution of the Parabolic Anderson Problem
We consider the Stochastic Partial Differential Equation ut = κ∆u+ ξ(t, x)u, t ≥ 0, x ∈ Z . The potential is assumed to be Gaussian white noise in time, stationary in space. We obtain the asymptotics of the almost sure Lyapunov exponent γ(κ) for the solution as κ → 0. Namely γ(κ) ∼ c0 ln(1/κ) , where the constant c0 is determined by the correlation function of the potential.
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ژورنال
عنوان ژورنال: Journal of Physics: Condensed Matter
سال: 2004
ISSN: 0953-8984,1361-648X
DOI: 10.1088/0953-8984/16/9/n01