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The wall theorem for elastic moduli

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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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Bavaud, F. The wall theorem for elastic moduli. J Stat Phys 45, 171–181 (1986). https://doi.org/10.1007/BF01033085

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  • DOI: https://doi.org/10.1007/BF01033085

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