The continuous spin random field model: Ferromagnetic ordering in d>=3
Kuelske, Christof
arXiv, 9806010 / Harvested from arXiv
Text on arXiv
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 $d\geq 3$.
Publié le : 1998-06-16
Classification:  Mathematical Physics,  Mathematics - Probability,  82B44,  82B26,  82B28 
@article{9806010,
     author = {Kuelske, Christof},
     title = {The continuous spin random field model: Ferromagnetic ordering in d>=3},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9806010}
}

Kuelske, Christof. The continuous spin random field model: Ferromagnetic ordering in d>=3. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9806010/