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Study of the upper-critical dimension of the East model through the breakdown of the Stokes-Einstein relation

Jung, Younjoon; Kim, Soree; Thorpe, Dayton G.; Noh, Chanwoo; Garrahan, Juan P.; Chandler, David

Authors

Younjoon Jung

Soree Kim

Dayton G. Thorpe

Chanwoo Noh

Juan P. Garrahan

David Chandler



Abstract

© 2017 Author(s). We investigate the dimensional dependence of dynamical fluctuations related to dynamic heterogeneity in supercooled liquid systems using kinetically constrained models. The d-dimensional spin-facilitated East model with embedded probe particles is used as a representative super-Arrhenius glass forming system. We examine the existence of an upper critical dimension in this model by considering decoupling of transport rates through an effective fractional Stokes-Einstein relation, D∼τ-1+ω, with D and τ the diffusion constant of the probe particle and the relaxation time of the model liquid, respectively, and where ω>0 encodes the breakdown of the standard Stokes-Einstein relation. To the extent that decoupling indicates non-mean-field behavior, our simulations suggest that the East model has an upper critical dimension at least above d = 10 and argue that it may actually be infinite. This result is due to the existence of hierarchical dynamics in the East model in any finite dimension. We discuss the relevance of these results for studies of decoupling in high dimensional atomistic models.

Journal Article Type Article
Publication Date Aug 28, 2017
Journal Journal of Chemical Physics
Print ISSN 0021-9606
Electronic ISSN 1089-7690
Publisher AIP Publishing
Peer Reviewed Peer Reviewed
Volume 147
Issue 8
APA6 Citation Jung, Y., Kim, S., Thorpe, D. G., Noh, C., Garrahan, J. P., Chandler, D., & Jung, C. (2017). Study of the upper-critical dimension of the East model through the breakdown of the Stokes-Einstein relation. Journal of Chemical Physics, 147(8), https://doi.org/10.1063/1.4999791
DOI https://doi.org/10.1063/1.4999791
Publisher URL http://aip.scitation.org/doi/10.1063/1.4999791
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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