Do athermal amorphous solids exist?

  title={Do athermal amorphous solids exist?},
  author={Hilary G. E. Hentschel and Smarajit Karmakar and Edan Lerner and Itamar Procaccia},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={83 6 Pt 1},
We study the elastic theory of amorphous solids made of particles with finite range interactions in the thermodynamic limit. For the elastic theory to exist, one requires all the elastic coefficients, linear and nonlinear, to attain a finite thermodynamic limit. We show that for such systems the existence of nonaffine mechanical responses results in anomalous fluctuations of all the nonlinear coefficients of the elastic theory. While the shear modulus exists, the first nonlinear coefficient B(2… Expand
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