- 98-452 Kuelske C.
- The continuous spin random field model:
ferromagnetic ordering in $d\geq 3$
Jun 16, 98
(auto. generated ps),
of related papers
Abstract. We investigate the Gibbs-measures of ferromagnetically coupled
continuous spins in double-well potentials subjected to a random
field (our specific example being the $\phi^4$ theory),
showing ferromagnetic ordering in $d\geq 3$ dimensions for weak
disorder and large energy barriers.
We map the random continuous spin distributions to distributions
for an Ising-spin system by means of a single-site coarse-graining
method described by local transition kernels. We derive a contour-
representation for them with notably positive contour activities
and prove their Gibbsianness.
This representation is shown to allow for application of the
discrete-spin renormalization group developed by Bricmont/Kupiainen
implying the result in $d\geq 3$.