Inversion formula of multifractal energy dissipation in 3D fully developed turbulence

The concept of inverse statistics in turbulence has attracted much attention in the recent years. It is argued that the scaling exponents of the direct structure functions and the inverse structure functions satisfy an inversion formula. This proposition has already been verified by numerical data using the shell model. However, no direct evidence was reported for experimental three dimensional turbulence. We propose to test the inversion formula using experimental data of three dimensional fully developed turbulence by considering the energy dissipation rates in stead of the usual efforts on the structure functions. The moments of the exit distances are shown to exhibit nice multifractality. The inversion formula between the direct and inverse exponents is then verified.Comment: 3 RevTex pages including 3 eps figure

4-(2-Hydroxy­benzyl­idene­amino)­benzonitrile

The mol­ecule of the title compound, C14H10N2O, is nearly planar. There is a strong intra­molecular O—H⋯N hydrogen bond between the imine and hydr­oxy groups. The configuration with respect to the C=N double bond is anti (1E)

Multimode Brownian oscillators: Thermodynamics and heat transport

In this work, we investigate the multimode Brownian oscillators in nonequilibrium scenarios with multiple reservoirs at different temperatures. For this purpose, an algebraic method is proposed. This approach directly gives the exact time-local equation of motion for reduced density operator, from which we can easily extract both the reduced system and hybrid bath dynamical informations. Two representative entangled system-bath quantities, the heat transport and the thermodynamics of quantum mixing, are studied. The heat current is obtained from both the algebraic method and the discrete imaginary-frequency method followed by the Meir-Wingreen's formula. It is anticipated that the algebraic method developed in this work would constitute a crucial component for nonequilibrium statistical mechanics for open quantum systems.Comment: SM adde

3-[4-(Dimethyl­amino)benzyl­ideneamino]benzonitrile

The mol­ecule of the title Schiff base, C16H15N3, is non-planar and displays a trans configuration with respect to the C=N double bond. The two benzene rings make a dihedral angle of 49.24 (3)°

3-(2-Hydroxy­benzyl­ideneamino)benzonitrile

In the title mol­ecule, C14H10N2O, an intra­molecular O—H⋯N hydrogen bond contributes to the essential coplanarity of the two benzene rings, which form a dihedral angle of 6.04 (18)°

Bis[2-(3-cyano­phenyl­imino­meth­yl)phenolato]nickel(II)

In the title complex, [Ni(C14H9N2O)2], the NiII atom lies on an inversion center and is coordinated by the O atom and an N atom of two Schiff base 2-(3-cyano­phenyl­imino­meth­yl)phenolate ligands in a square-planar geometry. The dihedral angle between the cyano­phenyl and phenolate rings is 47.62 (7)°