173,503 research outputs found
Persistence of Kardar-Parisi-Zhang Interfaces
The probabilities that a growing Kardar-Parisi-Zhang interface
remains above or below the mean height in the time interval are
shown numerically to decay as with and . Bounds on are
derived from the height autocorrelation function under the assumption of
Gaussian statistics. The autocorrelation exponent for a
--dimensional interface with roughness and dynamic exponents and
is conjectured to be . For a recently proposed
discretization of the KPZ equation we find oscillatory persistence
probabilities, indicating hidden temporal correlations.Comment: 4 pages, 3 figures, uses revtex and psfi
Comment on "Conjectures on exact solution of three-dimensional (3D) simple orthorhombic Ising lattices" [arXiv:0705.1045]
It is shown that a recent article by Z.-D. Zhang [arXiv:0705.1045] is in
error and violates well-known theorems.Comment: LaTeX, 3 pages, no figures, submitted to Philosophical Magazine.
Expanded versio
Quantized Scaling of Growing Surfaces
The Kardar-Parisi-Zhang universality class of stochastic surface growth is
studied by exact field-theoretic methods. From previous numerical results, a
few qualitative assumptions are inferred. In particular, height correlations
should satisfy an operator product expansion and, unlike the correlations in a
turbulent fluid, exhibit no multiscaling. These properties impose a
quantization condition on the roughness exponent and the dynamic
exponent . Hence the exact values for two-dimensional
and for three-dimensional surfaces are derived.Comment: 4 pages, revtex, no figure
Explicit eigenvalues of certain scaled trigonometric matrices
In a very recent paper "\emph{On eigenvalues and equivalent transformation of
trigonometric matrices}" (D. Zhang, Z. Lin, and Y. Liu, LAA 436, 71--78
(2012)), the authors motivated and discussed a trigonometric matrix that arises
in the design of finite impulse response (FIR) digital filters. The eigenvalues
of this matrix shed light on the FIR filter design, so obtaining them in closed
form was investigated. Zhang \emph{et al.}\ proved that their matrix had rank-4
and they conjectured closed form expressions for its eigenvalues, leaving a
rigorous proof as an open problem. This paper studies trigonometric matrices
significantly more general than theirs, deduces their rank, and derives
closed-forms for their eigenvalues. As a corollary, it yields a short proof of
the conjectures in the aforementioned paper.Comment: 7 pages; fixed Lemma 2, tightened inequalitie
AFM and Proteomic Analysis of Spore Coat Related to Spore Germination of Geobacillus stearothermophilus
DONG, W, SHEN, Q, AL ZAHARNA, M, ZHANG, Z & CHEUNG, HY 2013, 'AFM and Proteomic Analysis of Spore Coat Related to Spore Germination of Geobacillus stearothermophilus' Paper presented at 2nd International Conference on Medical, Biological and Pharmaceutical Sciences, London, United Kingdom, 17/06/13 - 18/06/13 … DONG, W., SHEN, Q., AL ZAHARNA, M., ZHANG, Z., & CHEUNG, HY (2013). AFM and Proteomic Analysis of Spore Coat Related to Spore Germination of Geobacillus stearothermophilus. Paper presented at 2nd International Conference on Medical, Biological and Pharmaceutical Sciences, London, United Kingdom. … DONG W, SHEN Q, AL ZAHARNA M, ZHANG Z, CHEUNG HY. AFM and Proteomic Analysis of Spore Coat Related to Spore Germination of Geobacillus stearothermophilus. 2013. Paper presented at 2nd International Conference on Medical, Biological and Pharmaceutical
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