Density Dependence of the Effective Mass for the Model Liquid with the Twelfth Inverse Power Potential

概要

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For the purpose of obtaining the density dependence of the effective mass in a classical simple liquid, the parameters appearing in the most general equations of motion in the itinerant oscillator model are determined for various reduced densities ρ*=ρ'σ^3(ε/kT)^<1/4> (ε>0, σ>0 and ρ' is a number density) for the model liquid with the twelfth inverse power potential φ(γ)=ε(σγ)^<12>. In particular the density dependence of the effective mass for this model liquid both for higher and lower ρ* region is exhibited in detail. The diverging point ρ_e* of the effective mass, which corresponds to the falling point of the self-diffusion coefficient, is shown to lie between ρ_e*=1.266 and 1.562. Two trial expressions for the effective mass are proposed in terms of the immobility and the correlation distance of a single diffusing atom: One indicates that the potential barrier over which the diffusing atom must jump is not very high, and the other reveals that the correlation distance is unexpectedly short.
理論物理学刊行会の論文
1977-05-25