Dispersive kinetics in discotic liquid crystals
| Autor: | Stephen J. Picken, Han Zuilhof, Fokko M. Mulder, Olga Kruglova, John A. Stride, Gordon J. Kearley, I. Paraschiv |
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| Jazyk: | angličtina |
| Rok vydání: | 2010 |
| Předmět: |
Physics
Anomalous diffusion Discotic liquid crystal Momentum transfer Organic Chemistry dynamics Organische Chemie Condensed Matter::Soft Condensed Matter state Correlation function (statistical mechanics) Liquid crystal anomalous diffusion statistics Phenomenological model Quasielastic neutron scattering columnar Statistical physics Columnar phase phases polymers VLAG |
| Zdroj: | Physical Review. E, Statistical nonlinear, and soft matter physics, 82(5) Physical Review E, 82 (5), 2010 Physical Review. E, Statistical nonlinear, and soft matter physics 82 (2010) 5 |
| ISSN: | 1539-3755 |
| DOI: | 10.1103/physreve.82.051703 |
| Popis: | The dynamics of the discotic liquid-crystalline system, hexakis (n-hexyloxy) triphenylene (HAT6), is considered in the frame of the phenomenological model for rate processes proposed by Berlin. It describes the evolution of the system in the presence of the long-time scale correlations in the system, and we compare this with experimental quasielastic neutron scattering of the molecular assembly of HAT6 in the columnar phase. We interpret the parameters of this model in terms of nonextensive thermodynamics in which rare events in the local fast dynamics of some parts of the system control the slower dynamics of the larger molecular entity and lead to a fractional diffusion equation. The importance of these rare local events to the overall dynamics of the system is linked to the entropic index, this being obtained from the data within the model approach. Analysis of the waiting-time dependence from momentum transfer reveals a Levy distribution of jump lengths, which allows us to construct the van Hove correlation function for discotic liquid-crystalline system. |
| Databáze: | OpenAIRE |
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