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The high frequency (instantaneous) shear modulus of three-dimensional Yukawasystems is evaluated in a wide parameter range, from the very weakly coupledgaseous state to the strongly coupled fluid at the crystallization point (Yukwamelt). This allows us to quantify how shear rigidity develops with increasingcoupling and inter-particle correlations. The radial distribution functions(RDFs) needed to calculate the excess shear modulus have been obtained fromextensive molecular dynamics (MD) simulations. MD results demonstrate thatfluid RDFs appear quasi-universal on the curves parallel to the melting line ofa Yukawa solid, in accordance with the isomorph theory of Roskilde-simplesystems. This quasi-universality, allows to simplify considerably calculationsof quantities involving integrals of the RDF (elastic moduli represent just onerelevant example). The calculated reduced shear modulus grows linearly with thecoupling parameter at weak coupling and approaches a quasi-constant asymptoteat strong coupling. The asymptotic value at strong coupling is in reasonablygood agreement with the existing theoretical approximation.

Instantaneous shear modulus of Yukawa fluids across coupling regimes