ZIB

Hits per page

hit 1 - 1 | 1 hit

Sorting

Electronic Resource

Upper Bounds on the Critical Temperature for Kac Potentials (1997)

Cassandro, M. ; Marra, R. ; Presutti, E.

Springer

Journal of statistical physics 88 (1997), S. 537-566

add to mindlist on the mindlist

Details

ISSN: 1572-9613

Keywords: Kac potentials ; critical temperature ; fluctuations ; Euclidean field theory

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract We consider an Ising system in two dimensions with a two body ferromagnetic interaction J γ(x, y) that depends on the Kac scaling parameter γ. We prove that the inverse critical temperature βcr(γ) is strictly above the mean-field value (equal to 1), namely that there exists C〉0 so that for any b〈C, βcr(γ)〉 1 + bγ2log γ−1 for all γ sufficiently small. The temperature shift Cγ2log γ−1 is to leading orders equal to the covariance of the magnetization fluctuations.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/B:JOSS.0000015163.27899.8f

Permalink

Library	Location	Call Number	Volume/Issue/Year	Availability

Others were also interested in ...

Paper (German National Licenses)

Fulltext

hit 1 - 1 | 1 hit