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  • PACS. 75.10.Nr Spin-glass and other random models  (3)
  • 1
    Digitale Medien
    Digitale Medien
    Aging dynamics of Edwards-Anderson spin glasses (2003)
    Springer
    The European physical journal 32 (2003), S. 361-367 
    Details
    ISSN: 1434-6036
    Schlagwort(e): PACS. 75.10.Nr Spin-glass and other random models
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract: We analyze by means of extensive computer simulations the out of equilibrium dynamics of Edwards-Anderson spin glasses in d = 4 and d = 6 dimensions with ± J interactions. In particular, we focus our analysis on the scaling properties of the two-time autocorrelation function in a wide range of temperatures from T = 0.07 T c to T = 0.75 T c in both systems. In both the 4 d and 6 d models at very low temperatures we study the effects of discretization of energy levels. Strong sub-aging behaviors are found. We argue that this is because in the times accessible to our simulations the systems are only able to probe activated dynamics through the lowest discrete energy levels and remain trapped around nearly flat regions of the energy landscape. For temperatures T ≥ 0.5 T c in 4 d and 6 d we find logarithmic scalings that are compatible with simple dynamical ultrametricity. Nevertheless the behaviour of the systems, even in 6 d is very different from the mean field SK model results.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1140/epjb/e2003-00110-y
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  • 2
    Digitale Medien
    Digitale Medien
    The Bethe lattice spin glass revisited (2001)
    Springer
    The European physical journal 20 (2001), S. 217-233 
    Details
    ISSN: 1434-6036
    Schlagwort(e): PACS. 75.10.Nr Spin-glass and other random models
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: 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.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/PL00011099
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  • 3
    Digitale Medien
    Digitale Medien
    The ± J spin glass in Migdal-Kadanoff approximation (2001)
    Springer
    The European physical journal 21 (2001), S. 589-594 
    Details
    ISSN: 1434-6036
    Schlagwort(e): PACS. 75.10.Nr Spin-glass and other random models
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: 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.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/s100510170169
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