Normal and Anomalous Scaling of the Fourth-Order Correlation Function of a Randomly Advected Passive Scalar

For a delta-correlated velocity field, simultaneous correlation functions of a passive scalar satisfy closed equations. We analyze the equation for the four-point function. To describe a solution completely, one has to solve the matching problems at the scale of the source and at the diffusion scale. We solve both the matching problems and thus find the dependence of the four-point correlation function on the diffusion and pumping scale for large space dimensionality $d$. It is shown that anomalous scaling appears in the first order of $1/d$ perturbation theory. Anomalous dimensions are found analytically both for the scalar field and for it's derivatives, in particular, for the dissipation field.Comment: 19 pages, RevTex 3.0, Submitted to Phys.Rev. E, revised versio

Severity Indices of Personality Problems (SIPP-118): Development, factor structure, reliability, and validity

This article describes a series of studies involving 2,730 participants on the development and validity testing of the Severity Indices of Personality Problems (SIPP), a self-report questionnaire covering important core components of (mal)adaptive personality functioning. Results show that the 16 facets constituted homogeneous item clusters (i.e., unidimensional and internally consistent parcels) that fit well into 5 clinically interpretable, higher order domains: self-control, identity integration, relational capacities, social concordance, and responsibility. These domains appeared to have good concurrent validity across various populations, good convergent validity in terms of associations with interview ratings of the severity of personality pathology, and good discriminant validity in terms of associations with trait-based personality disorder dimensions. Furthermore, results suggest that the domain scores are stable over a time interval of 14-21 days in a student sample but are sensitive to change over a 2-year follow-up interval in a treated patient population. Taken together, the final instrument, the SIPP-118, provides a set of 5 reliable, valid, and efficient indices of the core components of (mal)adaptive personality functioning