Scaling and universality in glass transition View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2016-09

AUTHORS

Antonio de Candia, Annalisa Fierro, Antonio Coniglio

ABSTRACT

Kinetic facilitated models and the Mode Coupling Theory (MCT) model B are within those systems known to exhibit a discontinuous dynamical transition with a two step relaxation. We consider a general scaling approach, within mean field theory, for such systems by considering the behavior of the density correlator 〈q(t)〉 and the dynamical susceptibility 〈q(2)(t)〉 - 〈q(t)〉(2). Focusing on the Fredrickson and Andersen (FA) facilitated spin model on the Bethe lattice, we extend a cluster approach that was previously developed for continuous glass transitions by Arenzon et al. (Phys. Rev. E 90, 020301(R) (2014)) to describe the decay to the plateau, and consider a damage spreading mechanism to describe the departure from the plateau. We predict scaling laws, which relate dynamical exponents to the static exponents of mean field bootstrap percolation. The dynamical behavior and the scaling laws for both density correlator and dynamical susceptibility coincide with those predicted by MCT. These results explain the origin of scaling laws and the universal behavior associated with the glass transition in mean field, which is characterized by the divergence of the static length of the bootstrap percolation model with an upper critical dimension dc = 8. More... »

PAGES

26481

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1038/srep26481

DOI

http://dx.doi.org/10.1038/srep26481

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1025213196

PUBMED

https://www.ncbi.nlm.nih.gov/pubmed/27221056


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250 schema:name CNR-SPIN, via Cintia, 80126 Napoli, Italy.
251 Dipartimento di Fisica "Ettore Pancini", Università di Napoli "Federico II", Complesso Universitario di Monte Sant'Angelo, via Cintia, 80126 Napoli, Italy.
252 INFN, Sezione di Napoli, via Cintia, 80126 Napoli, Italy.
253 rdf:type schema:Organization
 




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