Potentials for soft wall AdS/QCD

Soft-wall models in AdS/QCD generally have dilaton and scalar fields that vary with the fifth-dimension coordinate. These fields can be parameterized to yield hadron mass spectra with linear radial trajectories and to incorporate spontaneous breaking of chiral symmetry. We show how to construct scalar potentials which lead to such solutions.Comment: 21 pages. Version 3 matches that accepted for publication. Typos have been corrected and references added. Substantial discussion has been added in order to clarify our approach and the issue of the dilaton mass in Sec. 4. Central results and conclusions remain unchanged

Aspects of Site Supervision as Predictors of Group Leader Self-Efficacy for Pre-Service School Counselors

As pre-service school counselors prepare to lead groups in practice, it is important to consider their beliefs about their abilities to run groups with children and adolescents in the school setting. Site supervision is one aspect of students’ experiential training that can impact the development of confidence surrounding group facilitation. The purpose of this study was to examine specific site supervisory factors that impact the development of pre-service school counselors’ group leader self-efficacy. Data from a sample of 123 pre-service school counseling internship students from CACREP-accredited programs was collected in order to determine the impact of predictor variables (general selfefficacy, experience, observation, feedback, and anxiety) on group leader self-efficacy. The results of multiple regression analysis suggest that above and beyond the influence of general self-efficacy, receiving feedback and managing anxiety specific to group leadership are the greatest predictors of students’ group leader self-efficacy. The numbers of groups led and designed also had a small statistically significant impact, while observation of group counseling did not contribute a meaningful change in the overall regression model. Implications for these findings and suggestions for future research are discussed

When Values Blur the Lines: Navigating an Ethical Dilemma in School Counseling

School counselors regularly face ethical dilemmas that surround child protection and the navigation of home and school communication. Many of these issues are impacted by the school counselors’ abilities to acknowledge their own personal values while balancing ethical obligations and administrative boundaries. The following case highlights an untenured school counselor’s inner thought processes as she manages an ethical dilemma involving allegations of child abuse. This article discusses ethical decision-making and recommends advocacy for further discussion in counselor preparation programs around clinical supervision and consultation

The non-existence of stable Schottky forms

Let $A_g^S$ be the Satake compactification of the moduli space $A_g$ of principally polarized abelian $g$-folds and $M_g^S$ the closure of the image of the moduli space $M_g$ of genus $g$ curves in $A_g$ under the Jacobian morphism. Then $A_g^S$ lies in the boundary of $A_{g+m}^S$ for any $m$. We prove that $M_{g+m}^S$ and $A_g^S$ do not meet transversely in $A_{g+m}^S$, but rather that their intersection contains the $m$th order infinitesimal neighbourhood of $M_g^S$ in $A_g^S$. We deduce that there is no non-trivial stable Siegel modular form that vanishes on $M_g$ for every $g$. In particular, given two inequivalent positive even unimodular quadratic forms $P$ and $Q$, there is a curve whose period matrix distinguishes between the theta series of $P$ and $Q$.Comment: Corrected version, using Yamada's correct version of Fay's formula for the period matrix of a certain degenerating family of curves. To appear in Compositio Mathematic

Numerical simulation of the flow and fuel-air mixing in an axisymmetric piston-cylinder arrangement

The implicit factored method of Beam and Warming was employed to describe the flow and the fuel-air mixing in an axisymmetric piston-cylinder configuration during the intake and compression strokes. The governing equations were established on the basis of laminar flow. The increased mixing due to turbulence was simulated by appropriately chosen effective transport properties. Calculations were performed for single-component gases and for two-component gases and for two-component gas mixtures. The flow field was calculated as functions of time and position for different geometries, piston speeds, intake-charge-to-residual-gas-pressure ratios, and species mass fractions of the intake charge. Results are presented in graphical form which show the formation, growth, and break-up of those vortices which form during the intake stroke and the mixing of fuel and air throughout the intake and compression strokes. It is shown that at bore-to-stroke ratio of less than unity, the vortices may break-up during the intake stroke. It is also shown that vortices which do not break-up during the intake stroke coalesce during the compression stroke. The results generated were compared to existing numerical solutions and to available experimental data

Vortex motion in axisymmetric piston-cylinder configurations

By using the Beam and Warming implicit-factored method of solution of the Navier-Stokes equations, velocities were calculated inside axisymmetric piston cylinder configurations during the intake and compression strokes. Results are presented in graphical form which show the formation, growth and breakup of those vortices which form during the intake stroke by the jet issuing from the valve. It is shown that at bore-to-stroke ratio of less than unity, the vortices may breakup during the intake stroke. It is also shown that vortices which do not breakup during the intake stroke coalesce during the compression stroke