Dimensional crossover of the fundamental-measure functional for parallel hard cubes

We present a regularization of the recently proposed fundamental-measure functional for a mixture of parallel hard cubes. The regularized functional is shown to have right dimensional crossovers to any smaller dimension, thus allowing to use it to study highly inhomogeneous phases (such as the solid phase). Furthermore, it is shown how the functional of the slightly more general model of parallel hard parallelepipeds can be obtained using the zero-dimensional functional as a generating functional. The multicomponent version of the latter system is also given, and it is suggested how to reformulate it as a restricted-orientation model for liquid crystals. Finally, the method is further extended to build a functional for a mixture of parallel hard cylinders.Comment: 4 pages, no figures, uses revtex style files and multicol.sty, for a PostScript version see http://dulcinea.uc3m.es/users/cuesta/cross.p

Tidal band current variability over the Northern California continental shelf

Submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy at the Massachusetts Institute of Technology and the Woods Hole Oceanographic Institution December 1986The focus of this dissertation is on the description and dynamical interpretation of the tidal band current fluctuations over the continental shelf off northern California. The term "tidal band" is used here to denote fluctuations with periods from about one-half to one day, including all the major diurnal and semidiurnal tidal constituents. The semidiurnal frequency is super-inertial, and the diurnal frequency sub-inertial, at this mid-latitude location. Kinetic and potential energy are strongly peaked at the diurnal and semidiurnal frequencies. Although inertial currents are occasionally observed, particularly during the winter when internal wave energy in general is elevated in this locale, they do not contribute significantly to the current variance. Consequently, the treatment here is divided into discussion of the diurnal and semidiurnal variability. Each chapter emphasizes a process which can cause the tidal currents to deviate from what would be anticipated based solely on observations of sea level. In Chapter II, the diurnal current variability is discussed, and the role played by atmospheric forcing is examined in detail. In Chapter III, the barotropic semidiurnal tidal currents over the shelf are described, and the effect of small-scale bumps in the coastline is evaluated. The baroclinic semi diurnal tidal currents, which are dependent upon the local time-varying hydrographic conditions, are examined in Chapter IV.Support from the WHOI Education Office, a NASA traineeship, and NSF grants OCE 80-14941 and OCE 84-17769

Transport and stirring induced by vortex formation

The purpose of this study is to analyse the transport and stirring of fluid that occurs owing to the formation and growth of a laminar vortex ring. Experimental data was collected upstream and downstream of the exit plane of a piston-cylinder apparatus by particle-image velocimetry. This data was used to compute Lagrangian coherent structures to demonstrate how fluid is advected during the transient process of vortex ring formation. Similar computations were performed from computational fluid dynamics (CFD) data, which showed qualitative agreement with the experimental results, although the CFD data provides better resolution in the boundary layer of the cylinder. A parametric study is performed to demonstrate how varying the piston-stroke length-to-diameter ratio affects fluid entrainment during formation. Additionally, we study how regions of fluid are stirred together during vortex formation to help establish a quantitative understanding of the role of vortical flows in mixing. We show that identification of the flow geometry during vortex formation can aid in the determination of efficient stirring. We compare this framework with a traditional stirring metric and show that the framework presented in this paper is better suited for understanding stirring/mixing in transient flow problems. A movie is available with the online version of the paper

Constraints on a scalar-pseudoscalar Higgs mixing at future e+e- colliders: an update

We perform an update of our previous analysis on the constraints on possible deviations of Hbb coupling from its Standard Model value, arising from a scalar-pseudoscalar mixing. In this paper we include a complete simulation of the process e+ e- -> b bbar e+ e- and combine it with our previous results to obtain tighter bounds on the deviations of the parameters describing this coupling that could be measured at the Next Linear Collider.Comment: 3 pages, 2 figures, to be submitted to Phys. Rev.