Critical parameters from a generalized multifractal analysis at the Anderson transition.

We propose a generalization of multifractal analysis that is applicable to the critical regime of the Anderson localization-delocalization transition. The approach reveals that the behavior of the probability distribution of wave function amplitudes is sufficient to characterize the transition. In combination with finite-size scaling, this formalism permits the critical parameters to be estimated without the need for conductance or other transport measurements. Applying this method to high-precision data for wave function statistics obtained by exact diagonalization of the three-dimensional Anderson model, we estimate the critical exponent ν=1.58±0.03.

Theoretical analysis of the importance of recycling in measurements of protein turnover by constant infusion of a labelled amino acid.

In studies of whole body protein turnover, recycling of tracer from the breakdown of labelled protein is usually neglected; this neglect may introduce a significant error. A three-pool model with fast and slowly turning over protein pools has been used to calculate recycling rates over a range of sizes and turnover rates of the protein pools. Complete and approximate solutions of the equations are given. The recycling rate of 1% per hour would fit the available data on the turnover rates of human tissue proteins.

Anderson transition in two-dimensional systems with spin-orbit coupling.

We report a numerical investigation of the Anderson transition in two-dimensional systems with spin-orbit coupling. An accurate estimate of the critical exponent nu for the divergence of the localization length in this universality class has to our knowledge not been reported in the literature. Here we analyze the SU(2) model. We find that for this model corrections to scaling due to irrelevant scaling variables may be neglected permitting an accurate estimate of the exponent nu=2.73+/-0.02.