Inhomogeneous elastic moduli of the Weeks-Chandler-Andersen fluids close to a sphere

Author: Sun Zongli   Zhang Lihong   Song Jianmin   Kang Yanmei  

Publisher: Edp Sciences

E-ISSN: 1286-4854|107|1|16003-16003

ISSN: 0295-5075

Source: EPL (EUROPHYSICS LETTERS), Vol.107, Iss.1, 2014-07, pp. : 16003-16003

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Abstract

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.