title: Origin of the growing length scale in M-p-spin glass models.
abstract: Two versions of the M-p-spin glass model have been studied with the Migdal-Kadanoff renormalization group approximation. The model with p = 3 and M = 3 has at mean-field level the ideal glass transition at the Kauzmann temperature and at lower temperatures still the Gardner transition to a state like that of an Ising spin glass in a field. The model with p = 3 and M = 2 has only the Gardner transition. In the dimensions studied, d = 2,3, and 4, both models behave almost identically, indicating that the growing correlation length as the temperature is reduced in these models--the analog of the point-to-set length scale--is not due to the mechanism postulated in the random first-order transition theory of glasses but is more like that expected on the analogy of glasses to the Ising spin glass in a field.
authors.affiliation: Division of Quantum Phases and Devices, School of Physics, Konkuk University, Seoul 143-701, Korea. jhyeo@konkuk.ac.kr
authors.forename: Joonhyun
authors.initials: J
authors.lastname: Yeo
authors.forename: M A
authors.initials: MA
authors.lastname: Moore
mesh_terms: D003198:Computer Simulation; D003460:Crystallization / Q000379:methods*; D004574:Electromagnetic Fields; D050866:Liquid Crystals / Q000737:chemistry* / Q000528:radiation effects*; D008956:Models, Chemical; D008958:Models, Molecular; D008968:Molecular Conformation; D012212:Rheology / Q000379:methods*