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  • Articles  (2)
  • American Institute of Physics (AIP)  (2)
  • 2000-2004  (2)
  • 1935-1939
  • 2002  (2)
  • 1
    Electronic Resource
    Electronic Resource
    Lévy flights: Exact results and asymptotics beyond all orders (2002)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 43 (2002), S. 2670-2689 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A comprehensive study of the symmetric Lévy stable probability density function is presented. This is performed for orders both less than 2, and greater than 2. The latter class of functions are traditionally neglected because of a failure to satisfy non-negativity. The complete asymptotic expansions of the symmetric Lévy stable densities of order greater than 2 are constructed, and shown to exhibit intricate series of transcendentally small terms—asymptotics beyond all orders. It is demonstrated that the symmetric Lévy stable densities of any arbitrary rational order can be written in terms of generalized hypergeometric functions, and a number of new special cases are given representations in terms of special functions. A link is shown between the symmetric Lévy stable density of order 4, and Pearcey's integral, which is used widely in problems of optical diffraction and wave propagation. This suggests the existence of applications for the symmetric Lévy stable densities of order greater than 2, despite their failure to define a probability density function. © 2002 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.1467095
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  • 2
    Electronic Resource
    Electronic Resource
    Dehydrogenation induced phase transitions of p-aminobenzoic acid on Cu(110) (2002)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 116 (2002), S. 460-470 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Temperature and coverage dependent studies of p-aminobenzoic acid on a Cu(110) single crystal surface show a novel sequence of periodic structures linked to successive removal of hydrogen from the adsorbed species, as shown by LEED, STM, HREELS, and TPD. At room temperature, flat-lying molecules with a primitive unit cell of (3×4) periodicity with glide plane along the 〈001〉 direction are observed. Annealing this surface to 464 K causes partial desorption of H2 and a variation of the intensity in HREELS of various bands and formation of a (5 −22 4) periodicity. STM images suggest the formation of dimers, as a result of the dehydrogenation. On annealing to higher temperatures (510 K), further dehydrogenation forms (6 −51 2) structure. Finally, at 540 K, a (4 −31 2) periodicity is revealed in which all species correspond to dehydrogenated dimers. Through this sequence, all species retain a flat-lying orientation on the surface. © 2002 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.1426379
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