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  • Temperature dynamics  (1)
  • classes of uniqueness of Gibbs fields  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Temperature dynamics of the locally perturbed classical ideal gas (1985)
    Springer
    Journal of statistical physics 40 (1985), S. 133-146 
    Details
    ISSN: 1572-9613
    Keywords: Temperature dynamics ; classical gas ; dynamical system ; metric isomorphism ; Gibbs measure ; local perturbations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In the classical gas any two particles interact with the repulsive potential iff they both are situated in the fixed regionλ. Outsideλ they move freely. We prove that this dynamical system with respect to the Gibbs measure is metrically isomorphic to the classical ideal gas.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01010529
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Uniqueness of gibbs fields via cluster expansions (1984)
    Springer
    Journal of statistical physics 35 (1984), S. 375-379 
    Details
    ISSN: 1572-9613
    Keywords: Cluster expansion ; Gibbs fields ; random boundary conditions ; unbounded spin system ; Peierls argument ; classes of uniqueness of Gibbs fields
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract For the unbounded spin systems one cannot get cluster expansion if there exist large enough boundary values. A simple idea to avoid these difficulties is to prove that with probabilityp Λ→ 1 when Λ↑ℤ v there is a large subvolume Λ′ of Λ such that on ∂Λ′ all spin values do not exceed some fixed number. This gives a new method to prove uniqueness results for the unbounded spin systems generalizing some results of Refs. 1 and 2. The formulations of these results are in Section 1; the proofs are in Section 2.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01014390
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    Paper (German National Licenses)
    Fulltext
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