Volume 107, Number 1, July 2014
|Number of page(s)||6|
|Section||Condensed Matter: Structural, Mechanical and Thermal Properties|
|Published online||09 July 2014|
Inhomogeneous elastic moduli of the Weeks-Chandler-Andersen fluids close to a sphere
1 Science and Technology College, North China Electric Power University - Baoding, 071051, China
2 College of Science, Agriculture University of Hebei - Baoding 071001, China
3 University of International Relations - Beijing 100091, China
Received: 13 April 2014
Accepted: 17 June 2014
Based on the classical elastic theory, expressions for the shear and bulk moduli of the inhomogeneous fluids are derived. Both moduli are expressed as functionals of the density function of the particles. The theoretical derivations are firstly applied to the homogeneous Weeks-Chandler-Andersen fluids. Agreement between our results and those from the molecular-dynamics simulations is observed. In their application to the inhomogeneous fluids close to a large sphere, influences of the volume fraction, temperature and the external potential on their values are calculated and analyzed. The satisfactory performance achieved in this work suggests that our results may be applicative and effective in even wider areas of fluid of the micro- or nano-scale, including the mechanical behavior and hydrodynamical properties.
PACS: 62.20.de – Elastic moduli / 62.25.Fg – High-frequency properties, responses to resonant or transient (time-dependent) fields
© EPLA, 2014
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