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The elastic and transport coefficients of a perfect face-centered cubiccrystal of hard spheres are computed from the poles of the dynamic structurefactor and of the spectral functions of transverse momentum densityfluctuations. For such crystals, the relevant coefficients are the threeisothermal elastic constants $(C_{11}^T,C_{12}^T,C_{44}^T)$, the heatconductivity $\kappa$, and the three viscosities$(\eta_{11},\eta_{12},\eta_{44})$ (in Voigt's notations), which are directlycomputed using molecular dynamics simulations. The elastic and transportcoefficients are then compared to the values of the same coefficients obtainedwith the method of Helfand moments, showing good agreement and providing strongsupport for the microscopic hydrodynamic theory of perfect crystals based onthe local-equilibrium approach.

Elastic and transport coefficients of the perfect hard-sphere crystal from the poles of the hydrodynamic spectral functions