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  • 1
    Digitale Medien
    Digitale Medien
    Large deviations in spin-glass ground-state energies (2004)
    Springer
    The European physical journal 41 (2004), S. 365-375 
    Details
    ISSN: 1434-6036
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract. The ground-state energy E 0 of a spin glass is an example of an extreme statistic. We consider the large deviations of this energy for a variety of models when the number of spins N goes to infinity. In most cases, the behavior can be understood qualitatively, in particular with the help of semi-analytical results for hierarchical lattices. Particular attention is paid to the Sherrington-Kirkpatrick model; after comparing to the Tracy-Widom distribution which follows from the spherical approximation, we find that the large deviations give rise to non-trivial scaling laws with N.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1140/epjb/e2004-00329-0
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  • 2
    Digitale Medien
    Digitale Medien
    Glass models on Bethe lattices (2003)
    Springer
    The European physical journal 37 (2003), S. 55-78 
    Details
    ISSN: 1434-6036
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Physik
    Notizen: Abstract. We consider “lattice glass models” in which each site can be occupied by at most one particle, and any particle may have at most $\ell $ occupied nearest neighbors. Using the cavity method for locally tree-like lattices, we derive the phase diagram, with a particular focus on the vitreous phase and the highest packing limit. We also study the energy landscape via the configurational entropy, and discuss different equilibrium glassy phases. Finally, we show that a kinetic freezing, depending on the particular dynamical rules chosen for the model, can prevent the equilibrium glass transitions.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1140/epjb/e2004-00030-4
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