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  • long-range interactions  (3)
  • Atomic, Molecular, and Optical Physics  (1)
  • 1
    Electronic Resource
    Electronic Resource
    An investigation of finite-size scaling for systems with long-range interaction: The spherical model (1990)
    Springer
    Journal of statistical physics 59 (1990), S. 1431-1450 
    Details
    ISSN: 1572-9613
    Keywords: Finite-size scaling ; long-range interactions ; spherical model ; ε-expansion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A method is suggested for the derivation of finite-size corrections in the thermodynamic functions of systems with pair interaction potential decaying at large distancesr asr −d −σ , whered is the space dimensionality andσ〉0. It allows for a unified treatment of short-range (σ=2) and long-range (σ〈2) interaction. The asymptotic analysis is illustrated by the mean spherical model of general geometryL d−d′×∞ d′ subject to periodic boundary conditions. The Fisher-Privman equation of state is generalized to arbitrary real values ofd⩾σ, 0⩽d′⩽σ. It is shown that theε-expansion may be used to study the breakdown of standard finite-size scaling at the borderline dimensionalities.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01334758
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    On finite-size scaling in the presence of dangerous irrelevant variables (1990)
    Springer
    Journal of statistical physics 60 (1990), S. 519-526 
    Details
    ISSN: 1572-9613
    Keywords: Finite-size scaling ; dangerous irrelevant variables ; spherical model ; long-range interactions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A scaling hypothesis on finite-size scaling in the presence of a dangerous irrelevant variable is formulated for systems with long-range interaction and general geometryL d−d′×∞ d′ . A characteristic length which obeys a universal finite-size scaling relation is defined. The general conjectures are based on exact results for the mean spherical model with inverse power law interaction.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01314934
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  • 3
    Electronic Resource
    Electronic Resource
    On the finite-size scalling equation for the spherical model (1988)
    Springer
    Journal of statistical physics 52 (1988), S. 143-159 
    Details
    ISSN: 1572-9613
    Keywords: Finite-size scaling ; spherical model ; long-range interactions ; Madelung lattice constants
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The mean spherical model with an arbitrary interaction potential, the Fourier transform of which has a long-wavelength exponent σ, 0〈σ⩽2, is considered under periodic boundary conditions and fully finite geometry ind dimensions, when σ〈d〈2σ. A new form of the finite-size scaling equation for the spherical field in the critical region is derived, which relates the temperature shift to Madelung-type lattice constants. The method of derivation makes use of the Poisson summation formula and a Laplace transformation of the momentumspace correlation function.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01016408
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  • 4
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    High-Resolution Spectroscopy on the Laser-Cooling Candidate La^{−} (2015)
    American Physical Society (APS)
    Details
    Publication Date: 2015-09-10
    Description: Author(s): E. Jordan, G. Cerchiari, S. Fritzsche, and A. Kellerbauer The bound–bound transition from the 5 d 2 6 s 2 F 2 e 3 ground state to the 5 d 6 s 2 6 p D 1 o 3 excited state in negative lanthanum has been proposed as a candidate for laser cooling, which has not yet been achieved for negative ions. Anion laser cooling holds the potential to allow the production of ultracold ens… [Phys. Rev. Lett. 115, 113001] Published Tue Sep 08, 2015
    Keywords: Atomic, Molecular, and Optical Physics
    Print ISSN: 0031-9007
    Electronic ISSN: 1079-7114
    Topics: Physics
    Published by American Physical Society (APS)
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