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Diffusion of Clusters of Atoms and Vacancies on Surfaces and the Dynamics of Diffusion-Driven Coarsening

Physical Review Letters 1995年第17期75卷 3158-3158页

作者： David S. Sholl Rex. T. Skodje Program in Applied Mathematics University of Colorado Boulder Colorado 80309-0526 Department of Chemistry and Biochemistry JILA and Program in Applied Mathematics University of Colorado Boulder Colorado 80309-0215

We present Monte Carlo simulations and scaling theories for the size and temperature dependence of the diffusion coefficients of clusters of atoms and vacancies on surfaces. The mechanisms and rate-determining steps are found for a realistic model of the Xe/Pt(111) system. The coarsening of ensembles of clusters is also considered. By explicitly deriving the coarsening exponents, we show that the coarsening rate for systems dominated by coalescence due to cluster diffusion differs from the rates seen for Ostwald ripening.

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Hamiltonicity, vertex symmetry, and broadcasting of uni-directional hypercubes 1

Hamiltonicity, vertex symmetry, and broadcasting of uni-dire...

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1st Aizu International Symposium on Parallel Algorithms/Architecture Synthesis, AISPAS 1995

作者： Chern, Shyh-Chain Tuan, Tai-Ching Jwo, Jung-Sing Applied Mathematics Department Computer Science Program National Sun Yet-sen University Kaohsiung80424 Taiwan Department of Computer and Information Sciences Tunghai University Taichung Taiwan

ISBN: (纸本)081867038X

We show that the two uni-directional n-cubes, namely UHC1n and UHC2n proposed by Chou and Du (1990) as interconnection schemes are Hamiltonian. In addition, we show that (1) if n is even, both architectures are vertex symmetric;and (2) if n is odd, both architectures have exactly two vertex-symmetric components. By studying symmetry, we further prove that the maximum delay of one-port one-to-all broadcasting for either architecture is at most 1.5n. © 1995 IEEE.

关键词： Architecture

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Book reviews

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Bulletin of Mathematical Biology 1995年第1期57卷 169-173页

作者： Bruce West J. M. Cushing Department of Physics University of North Texas Denton USA Department of Mathematics Interdisciplinary Program on Applied Mathematics University of Arizona Tucson USA

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Nonlinear electrostatic waves in collisionless plasmas

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Physical Review E 1995年第3期52卷 3015-3015页

作者： Mark Buchanan J. Dorning Engineering Physics Program and Department of Applied Mathematics University of Virginia Charlottesville Virginia 22903

We report results concerning small amplitude Bernstein-Greene-Kruskal (BGK) waves, which are exact undamped traveling wave solutions of the nonlinear Vlasov-Poisson-Ampère equations for collisionless plasmas. Building upon previous work, we first develop a simple but powerful formalism that facilitates a methodical investigation of the types and properties of small amplitude BGK plasma waves that can exist near a given collisionless plasma equilibrium. Using this formalism, we then show that any physically relevant spatially uniform plasma equilibrium supports nonlinear spatially periodic BGK waves that are described by the Vlasov dispersion relation in the small amplitude limit. We demonstrate also that these equilibria are characterized by a discrete set of critical velocities vc(i), i=1,2,..., at which BGK solitary waves of vanishingly small amplitude can propagate in the plasma. The existence of these exact nonlinear spatially periodic and solitary wave solutions illustrates the fundamental incompleteness of the linear Vlasov-Landau theory of plasma waves since, by virtue of particle trapping, these nonlinear waves neither damp nor grow even when their amplitude is arbitrarily small.

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Hamiltonicity, vertex symmetry, and broadcasting of uni-directional hypercubes

Hamiltonicity, vertex symmetry, and broadcasting of uni-dire...

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Aizu International Symposium on Parallel Algorithms/Architecture Synthesis

作者： Shyh-Chain Chern Tai-Ching Tuan Jung-Sing Jwo Applied Mathematics Department Computer Science Program National Sun Yat-Sen University Kaohsiung Taiwan Department of Computer and Information Sciences Tunghai University Taichung Taiwan

ISBN: (纸本)081867038X

We show that the two uni-directional n-cubes, namely UHC1/sub n/ and UHC2/sub n/ proposed by Chou and Du (1990) as interconnection schemes are Hamiltonian. In addition, we show that (1) if n is even, both architectures are vertex symmetric; and (2) if n is odd, both architectures have exactly two vertex-symmetric components. By studying symmetry, we further prove that the maximum delay of one-port one-to-all broadcasting for either architecture is at most 1.5n.< >

关键词： Broadcasting Hypercubes Delay Network topology Computer architecture Computer networks Concurrent computing Distributed computing Contracts Bidirectional control

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Abstracts of papers presented at the 14th conference of the Weed Science Society of Israel Abstracts of papers presented at the international conference on controlled atmosphere and fumigation (CAF) in stored products Abstracts of papers presented at the joint international conference of FAOPMA — CEPA on pest control in the 21st century Abstracts of papers presented at the 2nd international Agro-Ecology Symposium on integrated pest management: from the drawing board to the market

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Phytoparasitica 1996年第3期24卷 199-265页

作者： E. Yogev M. Berson Y. Benyamini Y. Sheinboim T. Lev-Ran A. Bahat Y. Barkai Y. Gatti M. Zaidan O. Barazani Y. Boshvize S. Graph U. Luchinsky T. Blumenfeld Y. Kleifeld G. Herzlinger H. Bucsbaum S. Golan T. Chilf R. Aly Y. Ohali A. Ovadia Y. Chachlon H. Yovel Y. Tesler G. Colodney A. Nir S. Zarka A. Tal B. Rubin T. Yaacoby Y. Alon Y. Kedar Orit Ben-Zvi Assaraf O. Shainberg H. D. Rabinowitch E. Tel-Or Y. Goldwasser D. M. Joel D. Plakhine V. Portnoy G. Tzuri N. Katzir Dalia Losner-Goshen A. M. Mayer R. Jacobsohn Z. Tanaami H. Eisenberg Ziva Amsellem Z. Kernyi L. Hornok J. Gressel Adiva Shomer-Ilan Ela Nir Daphna Michaeli V. Kampel A. Warshawsky M. Yogev M. Negbi J. Hershenhorn Y. Lavan T. Hilf M. Horowitz M. Cohen I. Hirsch A. Veneziani S. T. Conyers C. H. Bell Ana C. Sá-Fischer C. S. Adler Ch. Reichmuth P. W. Flinn D. W. Hagstrum G. N. Mbata R. G. Winks Elisabeth A. Hyne M. Q. Chaudhry A. D. MacNicoll N. R. Price M. Schöller J. -F. Dugast R. Plarre S. Navarro E. J. Donahaye R. Diaz Miriam Rindner A. Azrieli P. Trematerra F. Fontana M. Mancini Ailsa D. Hocking Marta H. Taniwaki J. Lacey A. Hamer N. Magan N. Paster F. M. Caliboso D. G. Alvindia G. C. Sabio M. T. dela Cruz Okky Setyawati Dharmaputra A. S. R. Putri M. Sidik Eleni Papademetriou A. Varnava C. Mouskos M. A. Malek B. Parveen K. A. Dzisi W. O. Ellis Ana Maria Estevez Ljubica Galletti T. Fichet E. Oteiza L. A. Lizana M. X. Gonzalez B. Yakobson Y. Slavezky H. Ephrati El-H. Bartaly R. K. Kashyap M. Gupta W. L. Kashyap B. S. Dahiya A. K. Dash J. R. Rangaswamy R. D. Shroff D. S. Jayas W. E. Muir N. D. G. White L Gaye Weller J. E. van S. Graver Wu-Kang Peng M. Bengston E. Alip C. Reed J. G. Leesch G. F. Knapp G. F. Russell L. B. Llewellin Ch. Ulrichs H. J. Banks P. C. Annis R. Allanson R. Tauscher K. Westphal S. Mohan M. Gopalan P. C. Sumdarababu V. V. Sree Narayanan Sabine Prozell G. Ziegleder B. Schartmann R. Matissek J. Kraus D. Gerard S. Rogg W. Raemann R. F. Ryan Ya-Nan Wang R. T. Noyes P. Kenkel J. T. Criswell G. W. Cuperus C. J. Waterford C. P. Whittle L. Be Luxembourg Chemicals and Agriculture Ltd. Tel Aviv Israel Agrochemicals Dept. Milchan Bros. Ltd. Ramat Gan Israel Extension Service Ministry of Agriculture Zefat Mevo Hamma Ramat HaGolan Israel Dept. of Weed Science ARO Newe Ya’ar Research Center Haifa Israel Agrochemicals Department Milchan Bros. Ltd. Ramat Gan Israel Tarsis-Agrichem Tel Aviv Israel Weed Control Co. Ltd. Bet Dagan Israel Dept. of Field Crops Vegetables and Genetics The Hebrew University of Jerusalem Faculty of Agriculture Rehovot Israel Plant Protection and Inspection Services Ministry of Agriculture Bet Dagan 50250 Agan Chemical Manufacturers Ltd. Ashdod Israel Dept. of Field Crops Vegetables and Genetics Rehovot Dept. of Agricultural Botany The Hebrew University of Jerusalem Faculty of Agriculture Rehovot Israel Dept. of Weed Science ARO Newe Ya’ar Research Center Haifa Dept. of Botany The Hebrew University of Jerusalem Jerusalem Israel Dept. of Vegetable Crops ARO The Volcani Center Bet Dagan Israel Dept. of Plant Genetics Weizmann Institute of Science Rehovot Israel Inst. for Plant Science Agricultural Biotechnology Center Gödöllö Hungary Dept. of Botany Tel-Aviv University Tel Aviv Israel Dept. of Plant Genetics The Weizmann Institute of Science Rehovot Israel Dept. of Organic Chemistry The Weizmann Institute of Science Rehovot Israel Dept. of Ornamental Horticulture ARO The Volcani Center Bet Dagan Israel Weed Control Co. Ltd. Bet Dagan Chem-Nir Ltd. Kefar Shemaryahu Tiveon-Chem Co. Haifa Israel Central Science Laboratory Ministry of Agriculture Fisheries and Food Slough Berks UK Federal Biological Research Centre for Agriculture and Forestry Inst. for Stored Product Protection Berlin Germany USDA-ARS Grain Marketing and Production Research Center Manhattan USA School of Biological Sciences Abia State University Uturu Nigeria CSIRO Division of Entomology SCMC Nambour CSIRO Division of Entomology Canberra Australia DowElanco Europe Letcombe Laboratory L

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THE DYNAMICS OF HIERARCHICAL AGE-STRUCTURED POPULATIONS

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JOURNAL OF MATHEMATICAL BIOLOGY 1994年第7期32卷 705-729页

作者： CUSHING, JM 1. Department of Mathematics Interdisciplinary Program on Applied Mathematics Building 89 University of Arizona 85721 Tucson AZ USA

An age-structured population is considered in which the birth and death rates of an individual of age a is a function of the density of individuals older and/or younger than a. An existence/uniqueness theorem is proved for the McKendrick equation that governs the dynamics of the age distribution function. This proof shows how a decoupled ordinary differential equation for the total population size can be derived. This result makes a study of the population's asymptotic dynamics (indeed, often its global asymptotic dynamics) mathematically tractable. Several applications to models for intra-specific competition and predation are given.

关键词： AGE-STRUCTURED POPULATION DYNAMICS MCKENDRICK EQUATIONS HIERARCHICAL MODELS EXISTENCE/UNIQUENESS ASYMPTOTIC DYNAMICS GLOBAL STABILITY INTRA-SPECIFIC COMPETITION CANNIBALISM

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MORSE AND MELNIKOV FUNCTIONS FOR NLS PDES

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COMMUNICATIONS IN MATHEMATICAL PHYSICS 1994年第1期162卷 175-214页

作者： LI, Y MCLAUGHLIN, DW 1. Department of Mathematics Princeton University 08544 Princeton NJ USA 2. Department of Mathematics Program in Applied and Computational Mathematics Princeton University 08544 Princeton NJ USA

The theory of the focusing NLS equation under periodic boundary conditions, together with the Floquet spectral theory of its associated Zakharov-Shabat liner operator L, is developed in sufficient detail for later use in studies of perturbations of the NLS equation. ''Counting lemmas'' for the non-selfadjoint operator L, are established which control its spectrum and show that all of its eccentricities are finite in number and must reside within a finite disc D in the complex eigenvalue plane. The radius of the disc D is controlled by the H-1 norm of the potential q. For this integrable NLS Hamiltonian system, unstable tori are identified, and Backlund transformations are then used to construct global representations of their stable and unstable manifolds - ''whiskered tori'' for the NLS pde. The Floquet discriminant DELTA(lambda;q) used to introduce a natural sequence of NLS constants of motion, [F(j)(q) = DELTA(lambda = lambda(j)c(q);q), where lambda(j)c denotes the j(th) critical point of the Floquet discriminant DELTA(lambda)]. A Taylor series expansion of the constants F(j)(q), with explicit representations of the first and second variations, is then used to study neighborhoods of the whiskered tori. In particular, critical tori with hyperbolic structure are identified through the first and second variations of F(j)(q), which themselves are expressed in terms of quadratic products of eigenfunctions of L. The second variation permits identification, within the disc D, of important bifurcations m the spectral configurations of the operator L. The constant F(j)(q), as the height of the Floquet discriminant over the critical point lambda(j)c, admits a natural interpretation as a Morse function for NLS isospectral level sets. This Morse interpretation is studied in some detail. It is valid globally for the infinite tail, {F(j)(q)}\j\>N, which is associated with critical points outside the disc D. Within this disc, the interpretation is only valid locally, with the s

关键词： 34L05 35Q55 58F05 58F19

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Near-equilibrium multiple-wave plasma states

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Physical Review E 1994年第2期50卷 1465-1465页

作者： Mark Buchanan J. Dorning Engineering Physics Program and Department of Applied Mathematics University of Virginia Charlottesville Virginia 22903-2442

We report results showing that spatially periodic Bernstein-Greene-Kruskal (BGK) waves, which are exact nonlinear traveling wave solutions of the Vlasov-Maxwell equations for collisionless plasmas, satisfy a nonlinear principle of superposition in the small-amplitude limit. For an electric potential consisting of N traveling waves, cphi(x,t)= Ji=1Ncphi(i)(x-νit), where νi is the velocity of the ith wave and each wave amplitude cphi(i) is of order ε which is small, we first derive a set of quantities scrĒ(i)(x,u,t) which are invariants through first order in ε for charged particle motion in this N-wave field. We then use these functions scrĒ(i)(x,u,t) to construct smooth distribution functions for a multispecies plasma which satisfy the Vlasov equation through first order in ε uniformly over the entire x-u phase plane for all time. By integrating these distribution functions to obtain the charge and current densities, we also demonstrate that the Poisson and Ampère equations are satisfied to within errors that are O(ε3/2). Thus the constructed distribution functions and corresponding field describe a self-consistent superimposed N-wave solution that is accurate through first order in ε. The entire analysis explicates the notion of small-amplitude multiple-wave BGK states which, as recent numerical calculations suggest, is crucial in the proper description of the time-asymptotic state of a plasma in which a large-amplitude electrostatic wave undergoes nonlinear Landau damping.

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Random Fixed Point Theorems for Nonexpansive and Contractive-Type Random Operators on Banach Spaces

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Journal of applied mathematics and Stochastic Analysis 1994年第4期7卷 569-580页

作者： Beg, Ismat Shahzad, Naseer Kuwait University Department of Mathematics Kuwait Quaid-i-Azam University Department of Mathematics Islamabad Pakistan Quaid-i-Azam University Department of Mathematics Islamabad Pakistan Florida Institute of Technology Program of Applied Mathematics Melbourne Florida 32901-6988 United States

The existence of random fixed points for nonexpansive and pseudocontractive random multivalued operators defined on unbounded subsets of a Banach space is proved. A random coincidence point theorem for a pair of compa... 详细信息

关键词： Random Coincidence Point Random Fixed Point Random Multivalued Operator

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