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Sum Rules for the Quasi-Static and Visco-Elastic Response of Disordered Solids at Zero Temperature

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Abstract

We study exact results concerning the non-affine displacement fields observed by Tanguy et al. [Europhys. Lett. 57, 423 (2002), Phys. Rev. B 66, 174205 (2002)] and their contributions to elasticity. A normal mode analysis permits us to estimate the dominant contributions to the non-affine corrections to elasticity and relate these corrections to the correlator of a fluctuating force field. We extend this analysis to the visco-elastic dynamical response of the system.

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Authors and Affiliations

  1. Department of physics, University of California, Santa Barbara, California, 93106, U.S.A.

    Anaël Lemaître & Craig Maloney

  2. Lawrence Livermore National Lab, CMS/MSTD, Livermore, California, 94550, U.S.A.

    Craig Maloney

  3. L.M.D.H., Universite Paris VI, UMR 7603, 4 place Jussieu, 75005, Paris, France

    Anaël Lemaître

Authors
  1. Anaël Lemaître
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  2. Craig Maloney
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Lemaître, A., Maloney, C. Sum Rules for the Quasi-Static and Visco-Elastic Response of Disordered Solids at Zero Temperature. J Stat Phys 123, 415–453 (2006). https://doi.org/10.1007/s10955-005-9015-5

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  • DOI: https://doi.org/10.1007/s10955-005-9015-5

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