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  • PACS. 05.40.+j Fluctuation phenomena, random processes, and Brownian motion  (1)
  • PACS. 05.50.+q Lattice theory and statistics; Ising problems  (1)
  • PACS. 75.10.-b General theory and models of magnetic ordering - 75.50.-y Studies of specific magnetic materials  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Critical properties of a three-dimensional p-spin model (1999)
    Springer
    The European physical journal 8 (1999), S. 417-422 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 05.50.+q Lattice theory and statistics; Ising problems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: In this paper we study the critical properties of a finite dimensional generalization of the p-spin model. We find evidence that in dimension three, contrary to its mean field limit, the glass transition is associated to a diverging susceptibility (and correlation length).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s100510050707
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    On the 1/D expansion for directed polymers (1999)
    Springer
    The European physical journal 8 (1999), S. 603-611 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 05.40.+j Fluctuation phenomena, random processes, and Brownian motion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: We present a variational approach for directed polymers in D transversal dimensions which is used to compute the correction to the mean field theory predictions with broken replica symmetry. The trial function is taken to be a symmetrized version of the mean-field solution, which is known to be exact for . We compute the free energy corresponding to that function and show that the finite-D corrections behave like D -4/3 . It means that the expansion in powers of 1/D should be used with great care here. We hope that the techniques developed in this note will be useful also in the study of spin glasses.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s100510050727
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  • 3
    Electronic Resource
    Electronic Resource
    Numerical simulations of the dynamical behavior of the SK model (1998)
    Springer
    The European physical journal 2 (1998), S. 495-500 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 75.10.-b General theory and models of magnetic ordering - 75.50.-y Studies of specific magnetic materials
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: We study the dynamical behavior of the Sherrington Kirkpatrick model. Thanks to the APE supercomputer we are able to analyze large lattice volumes, and to investigate the low T region. We present a new and precise determination of the remnant magnetization and of its time decay exponent, of the energy time decay exponent, and we discuss aging phenomena in the model. We exclude validity of naive aging, and propose different options that fit the numerical data.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s100510050273
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    Paper (German National Licenses)
    Fulltext
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