Schmidt number for density matrices

Application of Schmidt rebound number for estimating rock strength under specific geological conditions

A literature review revealed that most of the empirical equations introduced for determination of the uniaxial compressive strength (UCS) of rocks based on the Schmidt hammer rebound number (N) are not sufficiently reliable mostly due to the relatively low coefficient of correlations. This is attributed to the fact that in most cases one formula is used for all types of rocks, altho...

A Variable Turbulent Schmidt Number Formulation for Scramjet Application

In high speed engines, thorough turbulent mixing of fuel and air is required to obtain high performance and high efficiency. Thus, the ability to predict turbulent mixing is crucial in obtaining accurate numerical simulation of an engine and its performance. Current state of the art in CFD simulation is to assume both turbulent Prandtl number and Schmidt numbers to be constants. However, since ...

Separability Criterion for Density Matrices.

A quantum system consisting of two subsystems is separable if its density matrix can be written as ρ = ∑ A wA ρ ′ A ⊗ ρ ′′ A, where ρ ′ A and ρ ′′ A are density matrices for the two subsytems. In this Letter, it is shown that a necessary condition for separability is that a matrix, obtained by partial transposition of ρ, has only non-negative eigenvalues. This criterion is stronger than the Bel...

Smearing Formula for Density Matrices

Scalar dissipation fronts in high-Schmidt number mixing.

Jörg Schumacher Fachbereich Physik, Philipps-Universität Marburg, D-35032 Marburg, Germany Herwig Zilken Visualization Laboratory, Zentralinstitut für angewandte Mathematik, Forschungszentrum Jülich, D-52425 Jülich, Germany Bruno Eckhardt Fachbereich Physik, Philipps-Universität Marburg, D-35032 Marburg, Germany Katepalli R. Sreenivasan International Centre for Theoretical Physics, 34014 Triest...