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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 64 (1991), S. 673-682 
    ISSN: 1572-9613
    Keywords: Bethe-Peierls and Bragg-Williams maps ; boundary condition ; metastability ; residual entropy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Metastability in the ferromagneticp-state Potts model defined on the Cayley tree is discussed. It is shown that the sign of the boundary fieldH s determines the order of the transition as well as the stability of the low-temperature phase. Lowering the temperature withH s 〉0, a system withp〈2 (p〉2) will display a second (first)-order transition to a metastable (stable) phase. ForH s 〉0 a second (first)-order transition to a metastable (stable) phase occurs ifp〉2 (p〈2). In this case the system also has a residual entropy which is negative forp〈2.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 58 (1990), S. 1231-1238 
    ISSN: 1572-9613
    Keywords: Bethe-Peierls map ; Möbius transformation ; logistic map ; mean-field percolation ; McKay-Berker-Kirkpatrick spin-glass
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The phase diagram of the one-state Potts model on the closed asymmetric Cayley tree with branching ratior=2 is obtained from the Bethe-Peierls map. The route to chaos, via the period doubling cascade, is obtained by considering the antiferromagnetic coupling limit. The connection of the Potts model with the percolation problem is shown by calculating the order parameter, its susceptibility, the internal energy, and the specific heat as well as their asymptotic behavior at the paramagnetic-ferromagnetic critical point. Due to the type of the lattice and to the polynomial character of the map, this is the simplest known example of a McKay-Berker-Kirkpatrick spin-glass.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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