Numerical test of the Cardy-Jacobsen conjecture in the site-diluted Potts model in three dimensions

We present a microcanonical Monte Carlo simulation of the site-diluted Potts model in three dimensions with eight internal states, partly carried out in the citizen supercomputer Ibercivis. Upon dilution, the pure model's first-order transition becomes of the second-order at a tricritical point. We compute accurately the critical exponents at the tricritical point. As expected from the Cardy-Jacobsen conjecture, they are compatible with their Random Field Ising Model counterpart. The conclusion is further reinforced by comparison with older data for the Potts model with four states.Comment: Final version. 9 pages, 9 figure

The Influence of Counselor Demographics, Work Experience, and Training on Counselor Self-Efficacy and Multicultural Counseling Self-Efficacy Among Urban School Counselors

The purpose of this study was to examine the predictive value of counselor demographics, work experience, and training on counselor self-efficacy and multicultural counseling self-efficacy in urban school counselors. In addition, the predictive relationship between school counselor self-efficacy and school counselor multicultural counseling self-efficacy was examined. A correlational analysis was used to determine significance among the predictor variables and the constructs of school counselor selfefficacy and school counselor multicultural counseling self-efficacy. Several regression analyses were then applied to determine the predictive relationship of the significant variables and the stated constructs. Lastly, a regression analysis was used to examine the predictive relationship of demographics, work experience, training, and school counselor self-efficacy on school counselor multicultural counseling self-efficacy. Implications for counselor training and practice are provided, as well as suggestions for future research

Summary Judgment and Problems in Applying the Celotex Trilogy Standard

In this Note, the difficulties judges encounter in applying the Celotex standards are illustrated through an examination of summary judgment decisions in the United States Supreme Court and in Ohio courts. Ohio\u27s judges often look to the Supreme Court\u27s interpretations of the Federal Rules of Civil Procedure for guidance in applying Ohio\u27s summary judgment rule, and summary judgment decisions of this state therefore exemplify the pitfalls that the Supreme Court has created

Phase Transitions in Disordered Systems

We face the problem of phase transitions in diluted systems both from theoretical and numerical sides. We study the effects of quenched site-dilution in classical models (Heisenberg, Ising and Potts) in 2, 3, and 4 dimensions both by using the Renormalization Group and numerical simulations in the canonical and microcanonical ensembles. We propose and check a new formulation of the Finite Size Scaling ansatz (FSS) inside the microcanonical ensemble. We use microcanonical simulations to obtain a clear fist-order behavior for the diluted Potts model in 3D, estimating the tricritical dilution. We perform large-scale simulations of the 3D diluted Heisenberg model, checking its self-averaging properties. Finally we study the 4D diluted Ising model obtaining from the FSS of the specific heat a clear differentiation between the existing conflicting theories. We also compiled a large number of appendix that we expect to be used as future reference.Comment: Ph.D. Thesis (in English), 172 pages, 70 figures

Supersolidity in quantum films adsorbed on graphene and graphite

Using quantum Monte Carlo we have studied the superfluid density of the first layer of $^4$He and H$_2$ adsorbed on graphene and graphite. Our main focus has been on the equilibrium ground state of the system, which corresponds to a registered $\sqrt3 \times \sqrt3$ phase. The perfect solid phase of H$_2$ shows no superfluid signal whereas $^4$He has a finite but small superfluid fraction (0.67%). The introduction of vacancies in the crystal makes the superfluidity increase, showing values as large as 14% in $^4$He without destroying the spatial solid order.Comment: 5 pages, accepted for publication in PR