The expulsion of magnetic flux lines from a growing superconducting core of a quark star has been investigated using the idea of impurity diffusion in molten alloys. The possibility of Mullins-Sekerka normal-superconducting interface instability has also been studied. PACS NO.:24.85+p, 97.60Jd, 74.20Hi, 64.70-p † Permanent Address

In this paper, Part I of our study, we revisit the linear analysis (J. Appl. Phys. 34 (1963) 323; J. Appl. Phys. 36 (1965) 632; in: H.S. Peiser (Ed.), Crystal Growth, Pergamon, Oxford, 1967, p. 703) of the quasi-steady diffusional evolution of growing crystals in 3-D. We focus on a perturbed spherical solid crystal growing in an undercooled liquid with isotropic surface tension and interface ki...

We develop a modeling framework to describe the accumulation of terrestrial cosmogenic 3He in Antarctic debris-covered glaciers. The framework helps quantify the expected range in cosmogenic-nuclide inventories for measured clasts at the surface of supraglacial debris. We first delineate the physical factors that impact clast movement within, and on top of, debris-covered glaciers, including th...

Simulation is becoming an increasingly important tool, not only in materials science in a general way, but in the study of grain growth in particular. Here we exhibit a consistent variational approach to the mesoscale simulation of large systems of grain boundaries subject to Mullins Equation of curvature driven growth. Simulations must be accurate and at a scale large enough to have statistica...

Three models of surface growth processes in nonequilibrium steady state (NESS): Edwards–Wilkinson Model, Mullins–Herring Model and Kardar–Parisi–Zhang Model, are presented. Power laws, universality of non-equilibrium distributions, and scaling functions are discussed in details together with some experiment results.

Nathan T. Hahn, Heechang Ye, David W. Flaherty, Allen J. Bard, and C. Buddie Mullins* Department of Chemical Engineering, Texas Materials Institute, Center for Nanoand Molecular Science, The University of Texas at Austin, 1 University Station C0400, Austin, Texas 78712 and Center for Electrochemistry, Department of Chemistry and Biochemistry, The University of Texas at Austin, 1 University Stat...