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  • PACS. 05.20.-y Classical statistical mechanics - 05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion - 75.10.Nr Spin-glass and other random models  (1)
  • Surface reconstruction  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Non trivial overlap distributions at zero temperature (2000)
    Springer
    The European physical journal 18 (2000), S. 485-491 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 05.20.-y Classical statistical mechanics - 05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion - 75.10.Nr Spin-glass and other random models
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: We explore the consequences of Replica Symmetry Breaking at zero temperature. We introduce a repulsive coupling between a system and its unperturbed ground state. In the Replica Symmetry Breaking scenario a finite coupling induces a non trivial overlap probability distribution among the unperturbed ground state and the one in presence of the coupling. We find a closed formula for this probability for arbitrary ultrametric trees, in terms of the parameters defining the tree. The same probability is computed in numerical simulations of a simple model with many ground states, but no ultrametricity: polymers in random media in 1+1 dimension. This gives us an idea of what violation of our formula can be expected in cases when ultrametricity does not hold.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s100510070037
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  • 2
    Electronic Resource
    Electronic Resource
    Existence of several surface-reconstructed phases in a two-dimensional lattice model (1992)
    Springer
    Journal of statistical physics 66 (1992), S. 1215-1224 
    Details
    ISSN: 1572-9613
    Keywords: Surface reconstruction ; phase transitions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The zero-temperature phase diagram is rigorously obtained for a two-dimensional lattice model with four energy parameters. It is shown that the parameter space can be divided into regions, together with their boundaries, such that in each region the ground-state configurations are of one of seven different types. These types include one which is nondegenerate, four which are doubly degenerate, one which is infinitely degenerate but with no residual entropy, and one which is infinitely degenerate and has a nonzero residual entropy. The Pirogov-Sinai extension of the Peierls argument is used to establish the existence at low temperatures of four different types of ordered surface-reconstructed phases.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01054420
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