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Approach to the glass transition studied by higher order correlation functions

dc.contributor.authorLacević, N.en_US
dc.contributor.authorGlotzer, Sharon C.en_US
dc.date.accessioned2006-12-19T18:57:00Z
dc.date.available2006-12-19T18:57:00Z
dc.date.issued2003-08-13en_US
dc.identifier.citationLacević, N; Glotzer, S C (2003). "Approach to the glass transition studied by higher order correlation functions." Journal of Physics: Condensed Matter. 15(31): S2437-S2446. <http://hdl.handle.net/2027.42/48890>en_US
dc.identifier.issn0953-8984en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/48890
dc.description.abstractWe present a theoretical framework based on a higher order density correlation function, analogous to that used to investigate spin glasses, to describe dynamical heterogeneities in simulated glass-forming liquids. These higher order correlation functions are a four-point, time-dependent density correlation function g4(r,t) and a corresponding ‘structure factor’ S4(q,t) which measure the spatial correlations between the local liquid density at two points in space, each at two different times. g4(r,t) and S4(q,t) were extensively studied via molecular dynamics simulations of a binary Lennard-Jones mixture approaching the mode coupling temperature from above in Franz et al (1999 Phil. Mag.  B 79  1827), Donati et al (2002 J. Non-Cryst. Solids  307  215), Glotzer et al (2000 J. Chem. Phys.  112  509), Lacević et al (2002 Phys. Rev.  E 66  030101), Lacević et al (2003 J. Chem. Phys.  submitted) and Lacević (2003 Dissertation  The Johns Hopkins University). Here, we examine the contribution to g4(r,t), S4(q,t) and the corresponding dynamical correlation length, as well as the corresponding order parameter Q(t) and generalized susceptibility χ4(t), from localized particles. We show that the dynamical correlation length ξ4SS(t) of localized particles has a maximum as a function of time t, and the value of the maximum of ξ4SS(t) increases steadily in the temperature range approaching the mode coupling temperature from above.en_US
dc.format.extent3118 bytes
dc.format.extent495461 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/pdf
dc.language.isoen_US
dc.publisherIOP Publishing Ltden_US
dc.titleApproach to the glass transition studied by higher order correlation functionsen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartments of Chemical Engineering and Materials Science and Engineering, University of Michigan, Ann Arbor, MI 48109, USAen_US
dc.contributor.affiliationumDepartments of Chemical Engineering and Materials Science and Engineering, University of Michigan, Ann Arbor, MI 48109, USAen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/48890/2/c33118.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1088/0953-8984/15/31/318en_US
dc.identifier.sourceJournal of Physics: Condensed Matter.en_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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