We analyze in depth the Elastically Collective Nonlinear Langevin Equation theory of activated dynamics in metastable liquids to establish that the predicted inter-relationships between the alpha relaxation time, local cage and collective elastic barriers, dynamic localization length, and shear modulus are causally related within the theory to the medium range order (MRO) static correlation length. The latter grows exponentially with density for metastable hard sphere fluids and as a nonuniversal inverse power law with temperature for supercooled liquids under isobaric conditions. The physical origin of predicted connections between the alpha time and other metrics of cage order and the thermodynamic inverse dimensionless compressibility is fully established.
View Article and Find Full Text PDFThe structure, thermodynamics, and slow activated dynamics of the equilibrated metastable regime of glass-forming fluids remain a poorly understood problem of high theoretical and experimental interest. We apply a highly accurate microscopic equilibrium liquid state integral equation theory, in conjunction with naïve mode coupling theory of particle localization, to study in a unified manner the structural correlations, thermodynamic properties, and dynamic elastic shear modulus in deeply metastable hard sphere fluids. Distinctive behaviors are predicted including divergent inverse critical power laws for the contact value of the pair correlation function, pressure, and inverse dimensionless compressibility, and a splitting of the second peak and large suppression of interstitial configurations of the pair correlation function.
View Article and Find Full Text PDFConceptualizing two-variable disturbances preventing good model fit in confirmatory factor analysis as item-level method effects instead of correlated residuals avoids violating the principle that residual variation is unique for each item. The possibility of representing such a disturbance by a method factor of a bifactor measurement model was investigated with respect to model identification. It turned out that a suitable way of realizing the method factor is its integration into a fixed-links, parallel-measurement or tau-equivalent measurement submodel that is part of the bifactor model.
View Article and Find Full Text PDFJ Allied Health
September 2024
Admission to physical therapist education programs (PTEPs) is commonly based on cognitive attributes such as undergraduate grade point average (uGPA), pre-requisite course GPA (pre-req GPA), and sometimes Graduate Record Examination (GRE) scores, admissions interviews or essays. The primary purpose of this exploratory study was to examine the relationships between non-cognitive attributes identified through a personality-oriented job analysis (POJA) and Doctor of Physical Therapy (DPT) student academic performance to improve admissions procedures and DPT student education and training. The present study examined correlations among 12 non-cognitive attributes identified through the POJA and existing cognitive admission criteria, specifically uGPA and pre-req GPA, with DPT grades in the first semester of the PTEP.
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