834 research outputs found

    Study of properties of high field superconductors, ac field induced flux jumps Technical summary report, 21 Jun. 1965 - 26 Apr. 1966

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    Magnetization experiments in superimposed dc and audiofrequency ac magnetic fields on cold worked NbTi alloy samples - ac field induced flux jump

    Study of properties of high-field superconductors at elevated temperatures Final technical report, 27 Apr. - 26 Aug. 1966

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    Properties of high field superconductors at high temperatures - magnetization experiments on niobium and niobium compound

    Boundary conditions for translation-invariant Gibbs measures of the Potts model on Cayley trees

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    We consider translation-invariant splitting Gibbs measures (TISGMs) for the qq-state Potts model on a Cayley tree of order two. Recently a full description of the TISGMs was obtained, and it was shown in particular that at sufficiently low temperatures their number is 2q12^{q}-1. In this paper for each TISGM μ\mu we explicitly give the set of boundary conditions such that limiting Gibbs measures with respect to these boundary conditions coincide with μ\mu.Comment: 15 pages, 8 figure

    On free energies of the Ising model on the Cayley tree

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    We present, for the Ising model on the Cayley tree, some explicit formulae of the free energies (and entropies) according to boundary conditions (b.c.). They include translation-invariant, periodic, Dobrushin-like b.c., as well as those corresponding to (recently discovered) weakly periodic Gibbs states. The later are defined through a partition of the tree that induces a 4-edge-coloring. We compute the density of each color.Comment: 18 pages, 4 figure

    On pp-adic Gibbs Measures for Hard Core Model on a Cayley Tree

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    In this paper we consider a nearest-neighbor pp-adic hard core (HC) model, with fugacity λ\lambda, on a homogeneous Cayley tree of order kk (with k+1k + 1 neighbors). We focus on pp-adic Gibbs measures for the HC model, in particular on pp-adic "splitting" Gibbs measures generating a pp-adic Markov chain along each path on the tree. We show that the pp-adic HC model is completely different from real HC model: For a fixed kk we prove that the pp-adic HC model may have a splitting Gibbs measure only if pp divides 2k12^k-1. Moreover if pp divides 2k12^k-1 but does not divide k+2k+2 then there exists unique translational invariant pp-adic Gibbs measure. We also study pp-adic periodic splitting Gibbs measures and show that the above model admits only translational invariant and periodic with period two (chess-board) Gibbs measures. For p7p\geq 7 (resp. p=2,3,5p=2,3,5) we give necessary and sufficient (resp. necessary) conditions for the existence of a periodic pp-adic measure. For k=2 a pp-adic splitting Gibbs measures exists if and only if p=3, in this case we show that if λ\lambda belongs to a pp-adic ball of radius 1/27 then there are precisely two periodic (non translational invariant) pp-adic Gibbs measures. We prove that a pp-adic Gibbs measure is bounded if and only if p3p\ne 3.Comment: 17 page

    Molecular Conformation of Pyridinic Aromatic Esters. II. Electronic Absorption Spectra and Dipole Moments by Semiempirical Methods

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    The semiempirical MIM method was applied to calculate the UV spectra of nine pyridine-aromatic-ester derivatives (having the general formula R1-COO-R2) assuming a planar geometry. Benzene, pyridine and formic acid were adopted as component systems. The dipole moments of the same compounds were evaluated at the MIM and INDO levels and the equilibrium percentage of the conformers was deduced from experimental and theoretical values. Comparable results were generally obtained. On the whole the results are satisfactory but not sufficient to affirm with certainty if the molecular skeleton is or is not planar

    Molecular Conformation of Aza-substituted Benzanilides by Electronic Absorption Spectra and Dipole Moments

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    The electronic absorption spectra of thirteen pyridine aromatic amides of general formula R1-CO-NH- R2 (Ri, R2 = pyridil or phenyl) were obtained in methanol and dioxane solution. The band assignment is briefly discussed. The dipole moments were measured in dioxane at 25 ± 0.1 °c and compared with values calculated by both the S. H. M. 0. method and vectorial model. The comparison suggests the most probable conformation of derivatives which have the nitrogen either in the ortho or meta position in one or both rings of the molecule

    The Plant Ontology: A common reference ontology for plants

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    The Plant Ontology (PO) (http://www.plantontology.org) (Jaiswal et al., 2005; Avraham et al., 2008) was designed to facilitate cross-database querying and to foster consistent use of plant-specific terminology in annotation. As new data are generated from the ever-expanding list of plant genome projects, the need for a consistent, cross-taxon vocabulary has grown. To meet this need, the PO is being expanded to represent all plants. This is the first ontology designed to encompass anatomical structures as well as growth and developmental stages across such a broad taxonomic range. While other ontologies such as the Gene Ontology (GO) (The Gene Ontology Consortium, 2010) or Cell Type Ontology (CL) (Bard et al., 2005) cover all living organisms, they are confined to structures at the cellular level and below. The diversity of growth forms and life histories within plants presents a challenge, but also provides unique opportunities to study developmental and evolutionary homology across organisms
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