31,634 research outputs found
Observational constraints on a unified dark matter and dark energy model based on generalized Chaplygin gas
We study a generalized version of Chaplygin gas as unified model of dark
matter and dark energy. Using realistic theoretical models and the currently
available observational data from the age of the universe, the expansion
history based on the type Ia supernovae, the matter power spectrum, the cosmic
microwave background radiation anisotropy power spectra, and the perturbation
growth factor we put the unified model under observational test. As the model
has only two free parameters in the flat Friedmann background [CDM
(cold dark matter) model has only one free parameter] we show that the model is
already tightly constrained by currently available observations. The only
parameter space extremely close to the CDM model is allowed in this
unified model.Comment: 7 pages, 9 figure
Multireference Correlation in Long Molecules with the Quadratic Scaling Density Matrix Renormalization Group
We have devised and implemented a local ab initio Density Matrix
Renormalization Group (DMRG) algorithm to describe multireference nondynamic
correlations in large systems. For long molecules that are extended in one of
their spatial dimensions, this method allows us to obtain an exact
characterisation of correlation, in the given basis, with a cost that scales
only quadratically with the size of the system. The reduced scaling is achieved
solely through integral screening and without the construction of correlation
domains. We demonstrate the scaling, convergence, and robustness of the
algorithm in polyenes and hydrogen chains. We converge to exact correlation
energies (with 1-10 microhartree precision) in all cases and correlate up to
100 electrons in 100 active orbitals. We further use our algorithm to obtain
exact energies for the metal-insulator transition in hydrogen chains and
compare and contrast our results with those from conventional quantum chemical
methods.Comment: 14 pages, 12 figures, tciLaTeX, aip-BibTeX styl
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