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The wall theorem for elastic moduli
Authors:F. Bavaud
Affiliation:(1) Ecole Polytechnique Fédérale de Lausanne, Institut de Physique Théorique, CH-1015 Lausanne, Switzerland
Abstract:New expressions for the elastic moduli of a classical system are derived. They involve only the two-point correlation function and the derivative of the onepoint correlation function, both only on the boundary of the system. These expressions, valid for any interaction derivable from a potential, are proved from a mechanical point of view by generalizing the virial theorem of Clausius, and from a statistical point of view by a direct method that constitutes an alternative to Green's dilatation method.
Keywords:Wall theorem  virial theorem  correlation functions  pressure  stress tensor  elastic moduli  compressibility  Lamé   coefficients
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