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  • 2000-2004  (4)
  • 2001  (4)
  • PACS. 07.05.Tp Computer modeling and simulation – 02.60.Cb Numerical simulation; solution of equations – 52.70.Kz Optical (ultraviolet, visible, infrared) measurements  (2)
  • PACS. 75.10.Nr Spin-glass and other random models  (2)
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Years
  • 2000-2004  (4)
Year
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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 20 (2001), S. 217-233 
    ISSN: 1434-6036
    Keywords: PACS. 75.10.Nr Spin-glass and other random models
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: So far the problem of a spin glass on a Bethe lattice has been solved only at the replica symmetric level, which is wrong in the spin glass phase. Because of some technical difficulties, attempts at deriving a replica symmetry breaking solution have been confined to some perturbative regimes, high connectivity lattices or temperature close to the critical temperature. Using the cavity method, we propose a general non perturbative solution of the Bethe lattice spin glass problem at a level of approximation which is equivalent to a one step replica symmetry breaking solution. The results compare well with numerical simulations. The method can be used for many finite connectivity problems appearing in combinatorial optimization.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 21 (2001), S. 589-594 
    ISSN: 1434-6036
    Keywords: PACS. 75.10.Nr Spin-glass and other random models
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: We study the low-temperature phase of the three-dimensional ± J Ising spin glass in Migdal-Kadanoff approximation. At zero temperature, T = 0, the properties of the spin glass result from the ground-state degeneracy and can be elucidated using scaling arguments based on entropy. The approach to the asymptotic scaling regime is very slow, and the correct exponents are only visible beyond system sizes around 64. At T 〉 0, a crossover from the zero-temperature behaviour to the behaviour expected from the droplet picture occurs at length scales proportional to T -2/ds where ds is the fractal dimension of a domain wall. Canonical droplet behaviour is not visible at any temperature for systems whose linear dimension is smaller than 16 lattice spacings, because the data are either affected by the zero-temperature behaviour or the critical point behaviour.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 14 (2001), S. 97-103 
    ISSN: 1434-6079
    Keywords: PACS. 07.05.Tp Computer modeling and simulation – 02.60.Cb Numerical simulation; solution of equations – 52.70.Kz Optical (ultraviolet, visible, infrared) measurements
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: A novel three-dimensional (3-D) tomography software has been developed for spherical tokamak (ST) plasmas with thin central coils. It enables us to measure whole 3-D annular profiles of ST plasma emissivity (line spectrum etc.) using limited number of detectors located on a sphere outside of its separatrix. The numbers and positions of detectors have been optimized for STs that contain low-n toroidal modes from n = 1 to 5. Mathematical method allowing for the removal of the thin central coil from the region of reconstruction and to reconstruct STs with single and double axes are also discussed. The shadow effect of center coil region was found to limit the reconstruction accuracy, indicating that the low-aspect ratio torus (ST) is essential to this new 3-D tomography diagnostics.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 17 (2001), S. 337-344 
    ISSN: 1434-6079
    Keywords: PACS. 07.05.Tp Computer modeling and simulation – 02.60.Cb Numerical simulation; solution of equations – 52.70.Kz Optical (ultraviolet, visible, infrared) measurements
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: An inversion method for ion Doppler shift of spectrum lines was developed for plasma velocity measurements. By reducing the problem to the vectorial Radon transform, the characteristics of plasma ion velocity distribution such as vector potential/vorticity and velocity components were computed in two-dimensional space. Computer simulation of the reconstruction of different vector potential (vector field) models gives evidence that the reconstruction errors are acceptable, and the method can surely be used for real experimental data.
    Type of Medium: Electronic Resource
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