Linear quantum enskog equation II. Inhomogeneous quantum fluids |
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Authors: | D Loss |
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Institution: | (1) Institut für Theoretische Physik der Universität Zürich, CH-8001 Zürich, Switzerland;(2) Present address: Department of Physics, University of Illinois at Urbana-Champaign, 61801 Urbana, Illinois |
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Abstract: | This is the second part of a work concerned with the quantum-statistical generalization of classical Enskog theory, whereby the first part is extended to spatially inhomogeneous fluids. In particular, working with Liouville operators and using cluster expansions and projection operators, we derive the inhomogeneous linear quantum Enskog equation and express the dynamic structure factor and the nonlocal mobility tensor in terms of the corresponding quantum Enskog collision operator. Thereby static correlations due to excluded volume effects and quantum-statistical correlations due to the fermionic (bosonic) character of the pairwise strongly interacting particles are treated exactly. When static correlations are neglected, this Enskog equation reduces to the inhomogeneous linear quantum Boltzmann equation (containing an exchange-modifiedt-matrix). In the classical limit, the well-known linear revised Enskog theory is recovered for hard spheres. |
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Keywords: | Quantum kinetic theory linear dynamic structure factor nonlocal mobility Liouville operators cluster expansions static dynamic and quantum-statistical correlations inhomogeneous quantum Enskog equation linear |
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