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Schematic mode coupling theories for shear thinning, shear thickening, and jamming

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Original languageEnglish
Title of host publicationUNIFYING CONCEPTS IN GRANULAR MEDIA AND GLASSES
EditorsA Coniglio, A Fierro, HJ Herrmann, M Nicodemi
Place of PublicationAMSTERDAM
PublisherElsevier B.V.
Pages203-216
Number of pages14
ISBN (Print)0-444-51607-7
Publication statusPublished - 2004
EventInternational Workshop on Unifying Concepts in Granular Media and Glasses - Capri
Duration: 25 Jun 200328 Jun 2003

Conference

ConferenceInternational Workshop on Unifying Concepts in Granular Media and Glasses
CityCapri
Period25/06/0328/06/03

Abstract

Mode coupling theory (MCT) appears to explain several, though not all, aspects of the glass transition in colloids (particularly when short-range attractions are present). Developments of MCT, from rational foundations in statistical mechanics, account qualitatively for nonlinear flow behaviour such as the yield stress of a hard-sphere colloidal glass. Such theories so far only predict shear thinning behaviour, whereas in real colloids both shear thinning and shear thickening can be found. The latter observation can, however, be rationalised by postulating an MCT vertex that is not only a decreasing function of strain rule (as found from first principles) but also an increasing function of stress. Within a highly simplified, schematic MCT model this can lead not only to discontinuous shear thickening but also to complete arrest of a fluid phase under the influence of an external stress ('full jamming').

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