Monte Carlo Study of Ordering and Domain Growth in a Class of fcc-Alloy Models

Ordering processes in fcc-alloys with composition A_3B (like Cu_3Au, Cu_3Pd, CoPt_3 etc.) are investigated by Monte Carlo simulation within a class of lattice models based on nearest-neighbor (NN) and second-neighbor (NNN) interactions. Using an atom-vacancy exchange algorithm, we study the growth of ordered domains following a temperature quench below the ordering spinodal. For zero NNN-interactions we observe an anomalously slow growth of the domain size L(t) \sim t^\alpha, where \alpha \sim 1/4 within our accessible timescales. With increasing NNN-interactions domain growth becomes faster and \alpha gradually approaches the value 1/2 as predicted by the conventional Lifshitz-Allen-Cahn theory.Comment: 6 pages, 4 figure

Application of wavelets to singular integral scattering equations

The use of orthonormal wavelet basis functions for solving singular integral scattering equations is investigated. It is shown that these basis functions lead to sparse matrix equations which can be solved by iterative techniques. The scaling properties of wavelets are used to derive an efficient method for evaluating the singular integrals. The accuracy and efficiency of the wavelet transforms is demonstrated by solving the two-body T-matrix equation without partial wave projection. The resulting matrix equation which is characteristic of multiparticle integral scattering equations is found to provide an efficient method for obtaining accurate approximate solutions to the integral equation. These results indicate that wavelet transforms may provide a useful tool for studying few-body systems.Comment: 11 pages, 4 figure

Scattering Calculations with Wavelets

We show that the use of wavelet bases for solving the momentum-space scattering integral equation leads to sparse matrices which can simplify the solution. Wavelet bases are applied to calculate the K-matrix for nucleon-nucleon scattering with the s-wave Malfliet-Tjon V potential. We introduce a new method, which uses special properties of the wavelets, for evaluating the singular part of the integral. Analysis of this test problem indicates that a significant reduction in computational size can be achieved for realistic few-body scattering problems.Comment: 26 pages, Latex, 6 eps figure

Equation-free Dynamic Renormalization of a KPZ-type Equation

In the context of equation-free computation, we devise and implement a procedure for using short-time direct simulations of a KPZ type equation to calculate the self-similar solution for its ensemble averaged correlation function. The method involves "lifting" from candidate pair-correlation functions to consistent realization ensembles, short bursts of KPZ-type evolution, and appropriate rescaling of the resulting averaged pair correlation functions. Both the self-similar shapes and their similarity exponents are obtained at a computational cost significantly reduced to that required to reach saturation in such systems

Alternative Liability in Litigation Malpractice Actions: Eradicating the Last Resort of Scoundrels

The legal malpractice tort, however, has managed to withstand the winds of legal change. Particularly crucial has been the refusal to apply alternative causation doctrines. The refusal to apply causation doctrines that have been embraced in other areas has significant social effects. As a result, the consumers of legal services receive less protection from the courts than do the consumers of products or medical services

Examining a Virtual Neuropsychological Battery for Older Adults

The restructuring of clinical service provision during the COVID-19 pandemic prompted neuropsychologists to reconsider telehealth options for patient care. Subsequent advances in teleneuropsychology (Tele-NP) research and practice have demonstrated that virtual assessment is not only practical, but also increases accessibility to neuropsychological services for the elderly, medically at-risk, and rural patients. In order to ensure services are in-line with professional standards of evidence-based practice, it is incumbent on research to demonstrate the validity of virtual assessment, as well as patient acceptability of Tele-NP findings. The objectives of this research project were three-fold. First, I aimed to determine the reliability of a proposed virtual battery of neuropsychological measures commonly used to identify early cognitive decline in older adults. The proposed battery consisted of assessments that already have well-documented validity for in-person clinical settings. Reliability was determined by administering the battery using virtual telecommunication technology to a non-clinical sample of 33 older adults (ages 65 years and older), and then comparing the performance of that sample to a reference standard. Second, I surveyed participants at the conclusion of their participation regarding their confidence that the virtual measures accurately captured their actual level of functioning. Third, I surveyed participants’ subjective perceptions of the Tele-NP experience using the direct to home full teleneuropsychology model (Stolwyk et al., 2020), with specific attention to their comfort using virtual telecommunication technology and their ability to effectively communicate in a virtual space. Participants reported a high degree of confidence in both their ability to use virtual telecommunication technology, as well as in the accuracy of Tele- NP findings. Finally, I compiled a list of recommendations for clinicians considering adding a remote evaluation option for some patients using the direct to home full teleneuropsychology model. These practical considerations were developed in the course of designing and executing this study