1,722,973 research outputs found

    Yang-Lee zeros of one-dimensional quantum many-body systems

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    We obtain a generic formula for the distribution of Yang-Lee zeros of one-dimensional quantum many-body systems solvable by the Bethe ansatz and the Yang-Yang thermodynamic formalism. We find that the zeros are located on the negative real axis of the complex fugacity plane and thus prove that no phase transition occurs in these one-dimensional systems, as proved by others using different methods. [S1063-651X(99)08101-5].open114sciescopu

    Critical line of an anisotropic Ising antiferromagnet on square and honeycomb lattices

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    Using the approach that we developed recently, we find the critical line of an anisotropic Ising antiferromagnet on two-dimensional square and honeycomb lattices. We extend our previous lemma and conjecture to be useful in the antiferromagnetic system. We find two interesting behaviors: (1) An antiferromagnet is not necessarily most inert at the absolute zero. (2) The field-driven antiferromagnetic phase transition is possible in the honeycomb lattice.open1113sciescopu

    Adaptive 3-D median filtering for restoration of an image sequence corrupted by impulse noise

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    An adaptive 3-D median filtering, which achieves optimal image quality as well as fast computing time, is proposed to remove the impulse noise from a highly corrupted image sequence. The proposed algorithm is compared with the widely used impulse noise removal algorithms with respect to the peak signal-to-noise ratio and the number of computations. The proposed algorithm preserves the image details which are not expected to be corrupted by impulse noise so that the number of computations can be minimized. It has good restoration performance whether the number of pixels corrupted by impulse noise is large or small. In the proposed algorithm, the impulse noise ratio, which is the ratio of the number of pixels corrupted by impulse noise to the total number of pixels, is estimated, and the restoration filtering is adaptively applied based on the estimated impulse noise ratio. (C) 2001 Elsevier Science B.V. All rights reserved

    Critical lines of the Yang-Lee edge singularity of Ising ferromagnets on square, triangular, and honeycomb lattices

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    We extend our previous approach to determine the critical lines of the Yang-Lee edge singularity of Ising ferromagnets on square, triangular, and honeycomb lattices by considering the zeros of the Ising partition function on elementary cycles of these lattices. It is found that the critical lines have the properties h(0)-->t(15/8) as T-->T-c + and beta h(0)-->pi/2 as T-->infinity. Using the asymptotic formulas valid in the high-temperature limit and the zero-field limit we obtain the functional form of the critical line.open1111sciescopu

    Genomic tree of gene contents based on functional groups of KEGG orthology

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    We propose a genome-scale clustering approach to identify whole genome relationships using the functional groups given by the Kyoto Encyclopedia of Genes and Genomes Orthology (KO) database. The metabolic capabilities of each organism were defined by the number of genes in each functional category. The archaeal, bacterial, and eukaryotic genomes were compared by simultaneously applying a two-step clustering method, comprised of a self-organizing tree algorithm followed by unsupervised hierarchical clustering. The clustering results were consistent with various phenotypic characteristics of the organisms analyzed and, additionally, showed a different aspect of the relationship between genomes that have previously been established through rRNA-based comparisons. The proposed approach to collect and cluster the metabolic functional capabilities of organisms should make it a useful tool in predicting relationships among organisms

    The initial involution patterns of permutations

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    http://www.combinatorics.org/Volume_14/Abstracts/v14i1r2.htmlFor a permutation pi = pi(1)pi(2)... pi(n) is an element of S-n and a positive integer i <= n, we can view pi(1)pi(2)... pi(i) as an element of S-i by order-preserving relabeling. The j-set of pi is the set of i's such that pi(1)pi(2)... pi(i) is an involution in S-i. We prove a characterization theorem for j-sets, give a generating function for the number of different j-sets of permutations in S-n. We also compute the numbers of permutations in S-n with a given j-set and prove some properties of them

    Yang-Lee edge singularity of a one-dimensional Ising ferromagnet with arbitrary spin

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    It is shown that for a one-dimensional lattice system in a purely imaginary magnetic field, if the interaction is finite range, the nature of the Yang-Lee edge singularity is universal, independent of the spin and interaction strengths. The edge singularity corresponds to the twofold degeneracy of the largest eigenvalues of the transfer matrix. For the Blume-Emery-Griffiths ferromagnet, the tricritical point and the edge pseudosingularity may exist. The tricritical point corresponds to the triple degeneracy of the eigenvalues. The edge pseudosingularity corresponds to the twofold degeneracy of the nonlargest eigenvalues. [S1063-651X(98)11909-8].open1116sciescopu

    Critical nature of ideal Bose-Einstein condensation: Similarity with Yang-Lee theory of phase transition

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    It is found that the singularity of the thermodynamic potential of an ideal Bose gas is connected with the physical root z(0) = 1 of the inverse of the,grand partition function. The critical nature is determined solely by the behavior of the root distribution of the inverse of the grand partition function near z(0) = 1. This is quite similar to the situation of phase transition described by Yang-Lee theory. [S1063-651X(99)12801-0].open115sciescopu

    The earth regeneration effect of solar neutrinos: a numerical treatment with three active neutrino flavors

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    We introduce an integrated algorithm for full scale investigation of the earth regeneration effect Of solar neutrinos with all three active neutrinos. We illustrate that the earth effect on low energy solar neutrinos (E (nu) 10(9)). We use a few sample iso-SNU contour plots to show that combination of the seasonal variations of Ga data and the DIN difference of water data can lead to determination of the three mixing parameters, Delta (12), theta (12), theta (13) decisively. (C) 2001 Elsevier Science B.V. All rights resented.X112sciescopu
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