Instantaneous shear modulus of Yukawa fluids across coupling regimes
arXiv:2002.01801 · doi:10.1063/1.5140858
Abstract
The high frequency (instantaneous) shear modulus of three-dimensional Yukawa systems is evaluated in a wide parameter range, from the very weakly coupled gaseous state to the strongly coupled fluid at the crystallization point (Yukwa melt). This allows us to quantify how shear rigidity develops with increasing coupling and inter-particle correlations. The radial distribution functions (RDFs) needed to calculate the excess shear modulus have been obtained from extensive molecular dynamics (MD) simulations. MD results demonstrate that fluid RDFs appear quasi-universal on the curves parallel to the melting line of a Yukawa solid, in accordance with the isomorph theory of Roskilde-simple systems. This quasi-universality, allows to simplify considerably calculations of quantities involving integrals of the RDF (elastic moduli represent just one relevant example). The calculated reduced shear modulus grows linearly with the coupling parameter at weak coupling and approaches a quasi-constant asymptote at strong coupling. The asymptotic value at strong coupling is in reasonably good agreement with the existing theoretical approximation.
Brief Communication; 5 pages, 4 figures
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Cited by in corpus (8)
- Revealing the supercritical dynamics of dusty plasmas and their liquid-like to gas-like dynamical crossover
- Dispersion relations of Yukawa fluids at weak and moderate coupling
- Elastic properties of three-dimensional Yukawa or dust crystals from molecular dynamics simulations
- Quasi-universal behaviour of shear relaxation times in simple fluids
- Elastic properties of Yukawa crystals
- Modified Bridgman formula for the thermal conductivity of complex (dusty) plasma fluids
- Variational approach to Yukawa fluids. II. Instantaneous elastic moduli and sound velocities
- Inferring partial crystalline order in liquids from electrical resistivity