Transport coefficients for dense hard-disk systems

Ramón García-Rojo, Stefan Luding, and J. Javier Brey
Phys. Rev. E 74, 061305 – Published 13 December 2006

Abstract

A study of the transport coefficients of a system of elastic hard disks based on the use of Helfand-Einstein expressions is reported. The self-diffusion, the viscosity, and the heat conductivity are examined with averaging techniques especially appropriate for event-driven molecular dynamics algorithms with periodic boundary conditions. The density and size dependence of the results are analyzed, and comparison with the predictions from Enskog’s theory is carried out. In particular, the behavior of the transport coefficients in the vicinity of the fluid-solid transition is investigated and a striking power law divergence of the viscosity with density is obtained in this region, while all other examined transport coefficients show a drop in that density range in relation to the Enskog’s prediction. Finally, the deviations are related to shear band instabilities and the concept of dilatancy.

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  • Received 28 November 2005

DOI:https://doi.org/10.1103/PhysRevE.74.061305

©2006 American Physical Society

Authors & Affiliations

Ramón García-Rojo

  • Institute for Computational Physics, University of Stuttgart, Pfaffenwaldring 27, 70569 Stuttgart, Germany

Stefan Luding

  • Technische Universiteit Delft (TUD), DelftChemTech, Particle Technology, Nanostructured Materials, Julianalaan 136, 2628 BL Delft, The Netherlands

J. Javier Brey

  • Física Teórica, Universidad de Sevilla, Apartado de Correos 1065, E-41080 Sevilla, Spain

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Issue

Vol. 74, Iss. 6 — December 2006

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