Wavenumber dependence of the structural relaxation time in the crossover regime of supercooled liquid dynamics

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dc.creatorBhattacharyya, Sarika Maitra
dc.creatorBagchi, Biman
dc.creatorWolynes, Peter G.
dc.date2009-02-24
dc.date2009-03-04
dc.date.accessioned2026-07-07T12:48:31Z
dc.date.available2026-07-07T12:48:31Z
dc.descriptionAs a liquid is progressively supercooled an intriguing weakening of the wavenumber ($q$) dependence of the structural relaxation time $τ(q)$ in the large q limit is observed both in experiments and simulation studies. Neither the continuous Brownian diffusive dynamics nor the discontinuous activated events can alone explain the anomalous wavenumber dependence. Here we use our recently developed theory that unifies the mode coupling theory (MCT) for continuous dynamics and the random first order transition theory (RFOT) treatment of activated discontinuous motion as a nucleation (instanton) process, to understand the wavenumber dependence of density relaxation. The predicted smooth change in mechanism of relaxation from diffusive to activated, in the crossover regime, is wavevector dependent and is eventually responsible for sub-quadratic, almost linear, $q$ dependence of the relaxation time.
dc.description15 pages and 5 figures, minor changes in the content
dc.identifierhttps://arxiv.org/abs/0902.4078
dc.identifierhttp://arxiv.org/abs/0902.4078
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222083
dc.subjectSoft Condensed Matter
dc.subjectStatistical Mechanics
dc.titleWavenumber dependence of the structural relaxation time in the crossover regime of supercooled liquid dynamics
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