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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 30 (1989), S. 1373-1379 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The equations of motion for infinite doubly periodic configurations of point vortices are derived. A Hamiltonian for the motion, generalizing that of Kirchhoff for finite configurations, is found and used to deduce an expression for the energy of an arbitrary vortex lattice. The energy of a lattice with periodic defects is computed. Some special stationary lattice configurations are shown to exist and integral curves for some two- and three-vortex lattice motions are exhibited.
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 1546-1718
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Medicine
    Notes: [Auszug] Truncation of Notch1 has been shown to cause a subtype of acute leukemia, and activation of Notch4 has been associated with mammary and salivary gland carcinomas of mice. Here we identify a new mechanism for disrupting Notch signaling in human tumorigenesis, characterized by altered function of a ...
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 62 (1991), S. 399-410 
    ISSN: 1572-9613
    Keywords: Convergence in distribution ; pair-summable potential ; point vortices ; statistical mechanics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract For systems with finite phase space volume, the density of states can be viewed as a multiple of the probability density of the energy, when the phase space variables are independent uniformly distributed random variables. We show that the distribution of a random variable proportional to the sum of pairwise interactions of independent identically distributed random variables converges to a limiting distribution as the number of variables goes to infinity, when the interaction satisfies certain homogeneity requirements. The moments of this distribution are simple combinations of cyclic integrals of the potential function. The existence of this limit gives information about the structure function of some systems in statistical mechanics having pair-summable interactions, even in the absence of a thermodynamic limit. The result is applied to several examples, including systems of two-dimensional point vortices.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 65 (1991), S. 495-529 
    ISSN: 1572-9613
    Keywords: Point vortices ; microcanonical ensemble ; negative temperature ; thermodynamic limit ; 2d turbulence ; U-statistics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Results from the theory ofU-statistics are used to characterize the microcanonical partition function of theN-vortex system in a rectangular region for largeN, under various boundary conditions, and for neutral, asymptotically neutral, and nonneutral systems. Numerical estimates show that the limiting distribution is well matched in the region of major probability forN larger than 20. Implications for the thermodynamic limit are discussed. Vortex clustering is quantitatively studied via the average interaction energy between negative and positive vortices. Vortex states for which clustering is generic (in a statistical sense) are shown to result from two modeling processes: the approximation of a continuous inviscid fluid by point vortex configurations; and the modeling of the evolution of a continuous fluid at high Reynolds number by point vortex configurations, with the viscosity represented by the annihilation of close positive-negative vortex pairs. This last process, with the vortex dynamics replaced by a random walk, reproduces quite well the late-time features seen in spectral integration of the 2d Navier-Stokes equation.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Digestive diseases and sciences 37 (1992), S. 702-704 
    ISSN: 1573-2568
    Keywords: Wegener's granulomatosis ; bile duct obstruction ; extrahepatic pancreatic neoplasms ; autoantibodies
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary A 62-year-old male presented with painless jaundice and solitary pulmonary and pancreatic masses. An extensive evaluation revealed Wegener's granulomatosis as the etiology. His pancreatic mass and jaundice responded to temporary stenting and therapy with cyclophosphamide and prednisone. While pancreatic vasculitis in Wegener's granulomatosis has been noted previously in autopsy studies, symptomatic involvement has been reported only once previously and never as a presenting feature of the disease. The antineutrophil cytoplasmic antibody (ANCA) assay proved useful in establishing the diagnosis. Necrotizing vasculidities can mimic pancreatic carcinoma and should be considered in the differential diagnosis of atypical cases.
    Type of Medium: Electronic Resource
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