17,847 research outputs found
A coupled hydromechanical bounding surface model predicting the hysteretic behaviour of unsaturated soils
This paper presents a bounding surface model to predict the hydromechanical behaviour of unsaturated soils under isotropic stress states. The model combines the hydraulic law of Gallipoli et al. [8] with the mechanical law of Gallipoli and Bruno [9]. The hydraulic law relates the degree of saturation to the single variable scaled suction, which accounts for the effect of both suction and void ratio on the water retention behaviour of soils. The hydraulic law is made up of two closed-form equations, one for drying paths and one for wetting paths. Similarly, the mechanical law relates the void ratio to the single variable scaled stress, which accounts for the effect of both stress state and degree of saturation on the deformation of soils. The mechanical law is made up of two closed-form equations, one for loading paths and one for unloading paths. The proposed hydromechanical model is expressed in a finite form and has therefore the advantage of not requiring any approximate numerical integration. The model has been validated against four sets of laboratory data showing a good ability to predict the coupled behaviour of unsaturated soils (e.g. collapse-compression upon wetting) by means of a relatively small number of material parameters
Quantifying Bimodality Part 2: A Likelihood Ratio Test for the Comparison of a Unimodal Normal Distribution and a Bimodal Mixture of Two Normal Distributions. Bruno D. Zumbo is
Scientists in a variety of fields are often faced with the question of whether a sample is best described as unimodal or bimodal. In an earlier paper (Frankland & Zumbo, 2002), a simple and convenient method for assessing bimodality was described. That method is extended by developing and demonstrating a likelihood ratio test (LRT) for bimodality for the comparison of a unimodal normal distribution and a bimodal mixture of two normal distributions. As in Frankland and Zumbo (2002), the LRT approach is demonstrated using algorithms in SPSS
Resolving the Issue of How Reliability is Related to Statistical Power: Adhering to Mathematical Definitions
Reliability in classical test theory is a population-dependent concept, defined as a ratio of true-score variance and observed-score variance, where observed-score variance is a sum of true and error components. On the other hand, the power of a statistical significance test is a function of the total variance, irrespective of its decomposition into true and error components. For that reason, the reliability of a dependent variable is a function of the ratio of true-score variance and observed-score variance, whereas statistical power is a function of the sum of the same two variances. Controversies about how reliability is related to statistical power often can be explained by authors’ use of the term “reliability” in a general way to mean “consistency,” “precision,” or “dependability,” which does not always correspond to its mathematical definition as a variance ratio. The present note shows how adherence to the mathematical definition can help resolve the issue and presents some derivations and illustrative examples that have further implications for significance testing and practical research
Quantifying Bimodality Part I: An Easily Implemented Method Using \u3cem\u3eSPSS\u3c/em\u3e
Scientists in a variety of fields are faced with the question of whether or not a particular sample of data are best described as unimodal or bimodal. We provide a simple and convenient method for assessing bimodality. The use of the non-linear algorithms in SPSS for modeling complex mixture distributions is demonstrated on a unimodal normal distribution (with 2 free parameters) and on bimodal mixture of two normal distributions (with 5 free parameters)
Magnetic anisotropy of vicinal (001) fcc Co films: role of crystal splitting and structure relaxation in step-decoration effect
The uniaxial in-plane magnetic anisotropy (UIP-MA) constant is calculated for
a single step on the (001) surface of fcc Co() films. The calculations are
done for both an undecorated step and the step decorated with one or more, up
to 7, Cu wires. Our objective is to explain the mechanisms by which the
decoration decreases the UIP-MA constant, which is the effect observed
experimentally for ultrathin Co films deposited on vicinal (001) Cu surfaces
and can lead to reorientation of magnetization within the film plane.
Theoretical calculations performed with a realistic tight-binding model show
that the step decoration changes the UIP-MA constant significantly only if the
splitting between the on-site energies of various -orbitals is included for
atoms located near the step edge. The local relaxation of atomic structure
around the step is also shown to have a significant effect on the shift of the
UIP-MA constant. The influence of these two relevant factors is analyzed
further by examining individual contributions to the UIP-MA constant from atoms
around the step. The magnitude of the obtained UIP-MA shift agrees well with
experimental data. It is also found that an additional shift due to possible
charge transfer between Cu and Co atoms is very small.Comment: 12 pages,9 figures, RevTeX, submitted to Physical Review B version 3:
additions to content version 2: minor correction
Multistage Zeeman deceleration of metastable neon
A supersonic beam of metastable neon atoms has been decelerated by exploiting
the interaction between the magnetic moment of the atoms and time-dependent
inhomogeneous magnetic fields in a multistage Zeeman decelerator. Using 91
deceleration solenoids, the atoms were decelerated from an initial velocity of
580m/s to final velocities as low as 105m/s, corresponding to a removal of more
than 95% of their initial kinetic energy. The phase-space distribution of the
cold, decelerated atoms was characterized by time-of-flight and imaging
measurements, from which a temperature of 10mK was obtained in the moving frame
of the decelerated sample. In combination with particle-trajectory simulations,
these measurements allowed the phase-space acceptance of the decelerator to be
quantified. The degree of isotope separation that can be achieved by multistage
Zeeman deceleration was also studied by performing experiments with pulse
sequences generated for Ne and Ne.Comment: 16 pages, 15 figure
Effects from inhomogeneities in the chiral transition
We consider an approximation procedure to evaluate the finite-temperature
one-loop fermionic density in the presence of a chiral background field which
systematically incorporates effects from inhomogeneities in the chiral field
through a derivative expansion. We apply the method to the case of a simple
low-energy effective chiral model which is commonly used in the study of the
chiral phase transition, the linear sigma-model coupled to quarks. The
modifications in the effective potential and their consequences for the bubble
nucleation process are discussed.Comment: 11 pages, 5 figures. v2: appendix and references added, published
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