“Non-Gibbsian” States and their Gibbs Description View Full Text


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Article Info

DATE

1999-01

AUTHORS

R. L. Dobrushin†, S. B. Shlosman

ABSTRACT

The driving principle behind this paper is the following thesis: “Every physically reasonable random field has to be a Gibbs random field”. In this paper the so-called “non-Gibbsian” random fields are considered. The usual definition of the Gibbs field is generalized in such a way so as to include some of the discovered “non-Gibbsian” fields. The new definition is then used to show that the projection of the two-dimensional Ising model onto the one-dimensional sublattice ℤ1 falls into the class of the generalized Gibbs fields. More... »

PAGES

125-179

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s002200050525

DOI

http://dx.doi.org/10.1007/s002200050525

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1048882653


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