Glassy dynamics: mean-field `landscape' pictures versus growing length scale scenarii

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This is a short review on the compatibility between (a) mean-field, mode-coupling theories of the glass transition, where potential energy landscape ideas are natural, and (b) the necessity of describing the slowing down of glassy materials in terms of a growing cooperative length, absent from mean-field descriptions. We summarize some of the outstanding questions that remain before we can say we understand why glasses do not flow.
Talk given in "Frontiers in Condensed Matter", Aspen, August 2004

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