The wall theorem for elastic moduli |
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Authors: | F. Bavaud |
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Affiliation: | (1) Ecole Polytechnique Fédérale de Lausanne, Institut de Physique Théorique, CH-1015 Lausanne, Switzerland |
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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. |
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Keywords: | Wall theorem virial theorem correlation functions pressure stress tensor elastic moduli compressibility Lamé coefficients |
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