Powles, J.G. and Heyes, D.M. (2000) Viscoelastic behaviour of fluid with steeply repulsive potentials. Molecular Physics, 98 (14). pp. 917-927. ISSN 0026-8976.
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We analyse the shear stress, C-s(t) and pressure or 'bulk', C-b(t) time-correlation functions for steeply repulsive inverse power fluids (SRP) in which the particles interact via a pair potential with the analytic form, phi(r) = epsilon(sigma/r)(n), in a new approach to the understanding of their viscoelastic properties. We show analytically, and confirm by molecular dynamics simulations, that close to the hard-sphere limit both these time-correlation functions have the analytic form, C-s(t)/C-s(0) and C-b(t)/C-b(0) = 1 - T*(nt*)(2) + O((nt*)(4)), where T* = k(B)T/epsilon, is the reduced temperature, k(B) is Boltzmann's constant and t* = (epsilon/m sigma(2))(1/2)t is the reduced time. This leads to an alternative and much simpler derivation of formulae for the shear and bulk viscosities which for the limiting case of hard spheres are numerically very close to the traditional Enskog relations. These simple relations for the finite and continuous SRP interaction are in satisfactory agreement with the essentially exact molecular dynamics simulation results for ca, n greater than or equal to 18.
|Subjects:||Q Science > QC Physics|
|Divisions:||Faculties > Science Technology and Medical Studies > School of Physical Sciences|
|Depositing User:||A. Xie|
|Date Deposited:||03 Aug 2009 16:29|
|Last Modified:||03 Aug 2009 16:29|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/16528 (The current URI for this page, for reference purposes)|
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