Anisotropic generalization of Stinchcombe's solution for conductivity of random resistor network on a Bethe lattice

Our study is based on the work of Stinchcombe [1974 \emph{J. Phys. C} \textbf{7} 179] and is devoted to the calculations of average conductivity of random resistor networks placed on an anisotropic Bethe lattice. The structure of the Bethe lattice is assumed to represent the normal directions of the regular lattice. We calculate the anisotropic conductivity as an expansion in powers of inverse coordination number of the Bethe lattice. The expansion terms retained deliver an accurate approximation of the conductivity at resistor concentrations above the percolation threshold. We make a comparison of our analytical results with those of Bernasconi [1974 \emph{Phys. Rev. B} \textbf{9} 4575] for the regular lattice.Comment: 14 pages, 2 figure

Effect of fining and filtration on the haze formation in bayberry (Myrica rubra Sieb. et Zucc.) juice

Bayberry juice was fined with the methods of xanthan/chitosan (XC) or gelatin/bentonite (GB), and then filtered with diatomaceous earth filtration (DF) or ultrafiltration (UF, MWCO 100 kDa). Their effects on juice haze formation were investigated. The XC fining method was more effective than the GB method in removal of the total monomeric anthocyanin, total phenolics, and protein, with less haze formed in the XC fined juice. The DF reduced 2−5% of the total phenolics and 21−23% of protein, while UF reduced 19−24% of the total phenolics and 34−38% of protein, respectively. The results showed that fining and then UF can reduce but cannot eliminate haze formation in bayberry juice. The storage temperature was a critical factor affecting haze formation, and the juice was more stable when stored at lower temperature (4 °C). Copyright © 2007 American Chemical Society