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Elastic constants of hard thin platelets by Monte Carlo simulation and virial expansion
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O'Brien, Paul A. C., Allen, M. P., Cheung, David L., Dennison, M. (Matthew) and Masters, Andrew J. (2008) Elastic constants of hard thin platelets by Monte Carlo simulation and virial expansion. Physical Review E, Vol.78 (No.5). 051705. doi:10.1103/PhysRevE.78.051705 ISSN 1539-3755.
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Official URL: http://dx.doi.org/10.1103/PhysRevE.78.051705
Abstract
In this paper we present an investigation into the calculation of the Frank elastic constants of hard platelets via molecular simulation and virial expansion beyond second order. Monte Carlo simulations were carried out and director fluctuations measured as a function of wave vector k, giving the elastic constants through a fit in the low-k limit. Additionally, the virial expansion coefficients of the elastic constants up to sixth order were calculated, and the validity of the theory determined by comparison with the simulation results. The simulation results are also compared with experimental measurements on colloidal suspensions of platelike particles.
| Item Type: | Journal Article | ||||
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| Subjects: | Q Science > QC Physics Q Science > QD Chemistry |
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| Divisions: | Faculty of Science, Engineering and Medicine > Science > Chemistry Faculty of Science, Engineering and Medicine > Science > Physics |
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| Library of Congress Subject Headings (LCSH): | Monte Carlo method, Elasticity | ||||
| Journal or Publication Title: | Physical Review E | ||||
| Publisher: | American Physical Society | ||||
| ISSN: | 1539-3755 | ||||
| Official Date: | November 2008 | ||||
| Dates: |
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| Volume: | Vol.78 | ||||
| Number: | No.5 | ||||
| Number of Pages: | 7 | ||||
| Page Range: | 051705 | ||||
| DOI: | 10.1103/PhysRevE.78.051705 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| Funder: | University of Warwick, University of Manchester. Manchester Computing, Engineering and Physical Sciences Research Council (EPSRC) |
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