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Electrical Conductivity of Dense Aluminum Fluids

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Abstract

The electrical conductivity has been measured [1, 2, 3] and calculated[4] for aluminum plasmas in a density range of (0.001-2.3) g/cm3 and for temperatures between 10000 and 285000 K. The agreement between these data is reasonable for densities % < 0.7 g/cm3, independent of temperature. For higher densities, in the warm dense uid region, the applied theory needs improvements for being valid. The used plasma model is the "partially ionized plasma" (PIP) were the plasma consists of atoms, electrons and ions,hereuptoacharge state 5+. The electrical conductivity is calculated within linear response theory in the formulation of Zubarev. One gets = ; e2 0 j D j 0 N Q D with the correlation functions Nnm, Qnm, and Dnm. Nnm and Qnm depend on the number of free electrons� Dnm can be evaluated via Dnm = D ei nm + Dee nm (1) + Dea nm and depends on the composition and on the transport cross sections for scattering of electrons on ions, electrons, and atoms, respectively. Figure 1 shows a comparison between the experimental data of Benage [3] and some model calulations. For each experimental point, a tripel (%, T, ) is given. The curves show the calculated electrical conductivities for the same densities and temperatures. At this point, the dotted lines are of interest, where PIP and Coulomb potential were used and where the transport cross sections are evaluated in T-matrix and in Born approximation. We found a resonable agreement of the T-matrix curve with the experimental data for densities below 0.7 g/cm3. That coincides also with the results for other metals [4]. In the warm dense uid region, the di erences between measured and calculated electrical conducitvities become larger, even if the Born approximation for the transport cross sections Q ei T (k) = 4 k

Year: 2011
OAI identifier: oai:CiteSeerX.psu:10.1.1.183.4764
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