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  • 2005-2009
  • 2000-2004  (4)
  • 2001  (4)
  • PACS. 03.75.Be Atom and neutron optics – 42.25.Fx Diffraction and scattering  (2)
  • PACS. 64.60.-i General studies of phase transitions – 64.60.Fr Equilibrium properties near critical points, critical exponents – 75.40.-s Critical-point effects, specific heats, short-range order  (2)
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  • 2005-2009
  • 2000-2004  (4)
Year
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  • 1
    Electronic Resource
    Electronic Resource
    Subleading long-range interactions and violations of finite size scaling (2001)
    Springer
    The European physical journal 21 (2001), S. 251-268 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 64.60.-i General studies of phase transitions – 64.60.Fr Equilibrium properties near critical points, critical exponents – 75.40.-s Critical-point effects, specific heats, short-range order
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: We study the behavior of systems in which the interaction contains a long-range component that does not dominate the critical behavior. Such a component is exemplified by the van der Waals force between molecules in a simple liquid-vapor system. In the context of the mean spherical model with periodic boundary conditions we are able to identify, for temperatures close above T c, finite-size contributions due to the subleading term in the interaction that are dominant in this region decaying algebraically as a function of L. This mechanism goes beyond the standard formulation of the finite-size scaling but is to be expected in real physical systems. We also discuss other ways in which critical point behavior is modified that are of relevance for analysis of Monte Carlo simulations of such systems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s100510170201
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Two-point correlation function in systems with van der Waals type interaction (2001)
    Springer
    The European physical journal 23 (2001), S. 211-219 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 64.60.-i General studies of phase transitions – 64.60.Fr Equilibrium properties near critical points, critical exponents – 75.40.-s Critical-point effects, specific heats, short-range order
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: The behavior of the bulk two-point correlation function G( ;T| d ) in d-dimensional system with van der Waals type interactions is investigated and its consequences on the finite-size scaling properties of the susceptibility in such finite systems with periodic boundary conditions is discussed within mean-spherical model which is an example of Ornstein and Zernike type theory. The interaction is supposed to decay at large distances r as r - (d + σ), with 2 〈 d 〈 4, 2 〈 σ 〈 4 and d + σ≤6. It is shown that G( ;T| d ) decays as r - (d - 2) for 1 ≪r≪ξ, exponentially for ξ≪r≪r *, where r * = (σ - 2)ξlnξ, and again in a power law as r - (d + σ) for r≫r *. The analytical form of the leading-order scaling function of G( ;T| d ) in any of these regimes is derived.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s100510170070
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Atom diffraction from magnetic gratings in the thin phase-grating approximation (2001)
    Springer
    The European physical journal 14 (2001), S. 289-297 
    Details
    ISSN: 1434-6079
    Keywords: PACS. 03.75.Be Atom and neutron optics – 42.25.Fx Diffraction and scattering
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: The problem of atom diffraction from a reflecting magnetic diffraction grating is solved in the thin phase-grating approximation. The general problem for scalar diffraction is modelled using a semi-classical method in which the grating potential is separated into a reflecting term and a diffracting term. The trajectory of the atom in the reflecting potential is solved classically and the atom wave function in the diffracting potential found by integrating the phase change along the classical trajectory. The diffraction orders are obtained after Fourier transforming the result. This can be done independently of the grating potential resulting in a general formula for the diffraction efficiencies. The general result is applied to the problem of atom diffraction from a magnetic grating. Several approximations are required to reduce the problem to a form amenable to analytic solution. The results are compared with an accurate numerical method.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s100530170195
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Modelling the diffraction of laser-cooled atoms from magnetic gratings (2001)
    Springer
    The European physical journal 14 (2001), S. 111-118 
    Details
    ISSN: 1434-6079
    Keywords: PACS. 03.75.Be Atom and neutron optics – 42.25.Fx Diffraction and scattering
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: The diffraction of laser-cooled atoms from a spatially-periodic potential is modelled using rigorous coupled-wave analysis. This numerical technique, normally applied to light-diffraction, is adapted for use with atomic de Broglie waves incident on a reflecting diffraction grating. The technique approximates the potential by a large number of constant layers and successively solves the complex eigenvalue problem in each layer, propagating the solution up to the surface of the grating. The method enables the diffraction efficiencies to be calculated for any periodic potential. The results from the numerical model are compared with the thin phase-grating approximation formulae for evanescent light-wave diffraction gratings and idealised magnetic diffraction gratings. The model is applied to the problem of diffracting Rb atoms from a grating made from an array of permanent magnets.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s100530170242
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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