Turbulent electroconvection denotes a fluctuating multiphysical flow in which hydrodynamics and electrokinetics interact on multiple scales. The dynamical processes at work are entangled down to the molecular-diffusive scales that determined by Schmidt (Sc) Reynolds (Re) number. Turbulence properties generally nonuniversal leads high numerical resolution requirements. We address challenges asso...

The multipartite unitary gates are called genuine if they not product operators across any bipartition. We mainly investigate the classification of Schmidt rank two, by focusing on multiqubit scenario. For (excluding bipartite) there is an essential fact that their decompositions unique. Based this fact, we propose a key notion named as singular number to classify concerned. defined local in de...

The scalar rms fluctuations in a turbulent jet were investigated experimentally, using highresolution, laser-induced fluorescence techniques. The experiments were conducted in a high Schmidt nuinber fluid (water), on the jet centerline, over a jet Reynolds number range of 3000<Re<24 000. It was found that the normalized scalar rms fluctuations c’/ C decrease with increasing flow Reynolds number...

Schmidt numbers of bipartite mixed states ([1]) characterize the minimum Schmidt ranks of pure states that are needed to construct such mixed states. It is the minimum number of degrees of freedom of a bipartite mixed state entangled between two parties. We give a lower bound of Schmidt numbers of low rank bipartite mixed states and conclude that generic (i.e., all outside a measure zero set) l...

Nonpremixed jet flames of dimethyl ether (DME) were studied both experimentally and theoretically to investigate flame liftoff near unity Schmidt number. It was found experimentally that although the DME nonpremixed flames have a Schmidt number larger than unity it cannot be lifted directly by increasing the flow rate. Lifted flames can only be established by igniting the mixture in a narrow re...

We consider transport of a passive scalar by an isotropic turbulent velocity field in the presence of a mean scalar gradient. The velocity–scalar cospectrum measures the distribution of the mean scalar flux across scales. An inequality is shown to bound the magnitude of the cospectrum in terms of the shell-summed energy and scalar spectra. At high Schmidt number, this bound limits the possible ...

in this paper we study a representation of a fuzzy subgroup $mu$ of a group $g$, as a product of indecomposable fuzzy subgroups called the components of $mu$.  this representation is unique up to the number of components and their isomorphic copies. in the crisp group theory, this is a well-known theorem attributed to remak, krull, and schmidt. we consider the lattice of fuzzy subgroups and som...