Münster 1997 – scientific programme

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DY: Dynamik und Statistische Physik

DY 7: Fluide

DY 7.6: Talk

Monday, March 17, 1997, 18:15–18:30, R1

Shear Modulus of Fluids and Solids — •Siegfried Hess, Martin Kr"oger, and William G. Hoover — Institut f"ur Theoretische Physik, TU Berlin, Hardenbergstr. 36, 10623 Berlin

The shear modulus tensor, whose components are Voigt elastic moduli, is expressed as an N-particle average. The Born-Green and fluctuation contributions are identified and, where possible, also expressed in terms of integrals over the pair-correlation function. Symmetry considerations are invoked for systems of spherical particles in both isotropic and cubic states. Results from molecular dynamics simulations are presented for particles with purely repulsive Lennard-Jones interaction. Shear and bulk moduli are displayed graphically as functions of the density for fluid and cubic crystalline states. The shear modulus proves to be a good indicator for the fluid-solid phase transition.