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On the invariant measures for the two-dimensional euler flow (1987)

Benfatto, G. ; Picco, P. ; Pulvirenti, M.

Springer

Journal of statistical physics 46 (1987), S. 729-742

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ISSN: 1572-9613

Keywords: Invariant measures for the Euler flow ; vortices ; Gaussian random fields

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract It is proven that the canonical Gibbs measure associated with a gas of vortices of intensity ±√σ converges, in the limitN→∞, √σ→0,Nσ→const, to a Gaussian measure, which is invariant for the two-dimensional Euler equation.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01013382

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Poisson point processes, cascades, and random coverings ofR n (1991)

Koukiou, F. ; Picco, P.

Springer

Journal of statistical physics 62 (1991), S. 481-489

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ISSN: 1572-9613

Keywords: Generalized random energy model ; Poisson point processes ; hierarchies ; random coverings

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract The generalized random energy model (GREM) is formulated in terms of hierarchies of Poisson point processes. This allows one to relate the high-temperature region with a random covering ofR n .

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01020884

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On the Gibbs states for one-dimensional lattice Boson systems with a long-range interaction (1993)

Olivieri, E. ; Picco, P. ; Suhov, Yu. M.

Springer

Journal of statistical physics 70 (1993), S. 985-1028

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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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