35,194 research outputs found
Ehrenfest scheme for complex thermodynamic systems in full phase space
For a thermodynamic system with multiple pairs of intensive/extensive
variables and the thermodynamical coefficients attain finite or infinite values
on the phase boundary, we obtain the two classes of Ehrenfest equations in the
full phase space, and find that the rank of the matrix for these equations can
tell us the dimensions of the phase boundary. We also apply this treatment to
the RN-AdS black hole.Comment: 9 page
gap: Genetic Analysis Package
A preliminary attempt at collecting tools and utilities for genetic data as an R package called gap is described. Genomewide association is then described as a specific example, linking the work of Risch and Merikangas (1996), Long and Langley (1997) for family-based and population-based studies, and the counterpart for case-cohort design established by Cai and Zeng (2004). Analysis of staged design as outlined by Skol et al. (2006) and associate methods are discussed. The package is flexible, customizable, and should prove useful to researchers especially in its application to genomewide association studies.
On Locality of Schmidt-Correlated States
We review some results on the equivalence of quantum states under local
unitary transformations (LUT). In particular, the classification of two-qubit
Schmidt correlated (SC) states under LUT is investigated. By presenting the
standard form of quantum states under LUT, the sufficient and necessary
conditions of whether two different SC states are local unitary equivalent are
provided. The correlations of SC states are also discussed.Comment: 14 page
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