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  • 1
    Electronic Resource
    Electronic Resource
    On the Gibbs states for one-dimensional lattice Boson systems with a long-range interaction (1993)
    Springer
    Journal of statistical physics 70 (1993), S. 985-1028 
    Details
    ISSN: 1572-9613
    Keywords: Quantum systems ; Gibbs states
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We consider an infinite chain of interacting quantum (anharmonic) oscillators. The pair potential for the oscillators at lattice distanced is proportional to {d 2[log(d+1)]F(d)}−1 where ∑ r∈Z [rF(r)]−1 〈 ∞. We prove that for any value of the inverse temperatureβ〉 0 there exists a limiting Gibbs state which is translationally invariant and ergodic. Furthermore, it is analytic in a natural sense. This shows the absence of phase transitions in the systems under consideration for any value of the thermodynamic parameters.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01053604
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Metastability and Convergence to Equilibrium for the Random Field Curie–Weiss Model (1998)
    Springer
    Journal of statistical physics 91 (1998), S. 679-732 
    Details
    ISSN: 1572-9613
    Keywords: Metastability ; random magnetic field ; random spin systems ; Glauber dynamics ; Curie–Weiss model
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We study a dynamics for the magnetization of the random field Curie–Weiss model. A metastable behavior is exhibited and asymptotic estimates on the speed of convergence to equilibrium are given. The results are given almost surely and in law with respect to the realizations of the random magnetic fields.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1023085829152
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    Paper (German National Licenses)
    Fulltext
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