We investigate the transport behavior of finite modular quantum systems. Such systems have recently been analyzed by different methods. These approaches indicate diffusive behavior even and especially for finite systems. Inspired by these results we analyze analytically and numerically if and in which sense the dynamics of those systems are in agreement with an appropriate Boltzmann equation. We find that the transport behavior of a certain type of finite modular quantum systems may indeed be described in terms of a Boltzmann equation. However, the applicability of the Boltzmann equation appears to be rather limited to a very specific type of model.
We have investigated the partial densities of states of
Sr2FeMoO6
by applying soft x-ray emission spectroscopy (XES) to the Fe L, the Mo M
and the O K edges. We discuss the results in the light of complementary
measurements of the valence band by means of x-ray photoelectron spectroscopy
(XPS) and first-principles generalized gradient approximation (GGA) and
LDA +U
band structure calculations.
We present an alternative approach to the calculation of the lifetime of a
single excited electron (hole) which interacts with the Fermi sea of electrons
in a metal. The metal is modelled on the level of a Hamilton operator
comprising a pertinent dispersion relation and scattering term. To determine
the full relaxation dynamics we employ an adequate implementation of the
time-convolutionless projection operator method (TCL). This yields an analytic
expression for the decay rate which allows for an intuitive interpretation in
terms of scattering events. It may furthermore be efficiently evaluated by
means of a Monte-Carlo integration scheme. As an example we investigate
aluminium using, just for simplicity, a jellium-type model. This way we obtain
data which are directly comparable to results from a self-energy formalism. Our
approach applies to arbitrary temperatures.Comment: 10 pages, 3 figures; Phys. Rev. B, accepted (2009
The behavior of fuel assembly safety properties such as decay heat is often parametrized by a set of proxy variables such as burnup and by categorical variables like UOX or MOX. The standards ANS5.1 and DIN-25463 are examples of this strategy. They face the challenge to accurately approximate a wide range of possible fuel assembly states which occur in practice because they traditionally do not follow the nuclide vector evolution with a detailed microscopic model. While burnup is widely regarded as an important fuel parameter it is only an approximation or proxy for the physical relevant quantity which is the fuel nuclide vector. The performance of one of the latest and most advanced decay heat standards, DIN-25463-2014, is compared with Studsvik’s best-estimate code SSP SNF which uses a state-of-the-art microscopic model. Both the differences in initial nuclide vector after irradiation and the differences in decay heat between 1 s and 60 years are analyzed. Comparisons with realistic PWR core fuel inventories show that the margin between SSP SNF and DIN-25463-2014 varies in a range ±5% which is a manifestation of the challenge to accurately approximate the fuel state without detailed microscopic model. Given today’s small compute footprint of best-estimate codes for decay heat determination we conclude that parametrization strategies have little advantage except for applications like system codes used in transient analyses.
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