4,306 research outputs found

    Damping of Oscillations in Layer-by-Layer Growth

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    We present a theory for the damping of layer-by-layer growth oscillations in molecular beam epitaxy. The surface becomes rough on distances larger than a layer coherence length which is substantially larger than the diffusion length. The damping time can be calculated by a comparison of the competing roughening and smoothening mechanisms. The dependence on the growth conditions, temperature and deposition rate, is characterized by a power law. The theoretical results are confirmed by computer simulations.Comment: 19 pages, RevTex, 5 Postscript figures, needs psfig.st

    Short-time scaling behavior of growing interfaces

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    The short-time evolution of a growing interface is studied within the framework of the dynamic renormalization group approach for the Kadar-Parisi-Zhang (KPZ) equation and for an idealized continuum model of molecular beam epitaxy (MBE). The scaling behavior of response and correlation functions is reminiscent of the ``initial slip'' behavior found in purely dissipative critical relaxation (model A) and critical relaxation with conserved order parameter (model B), respectively. Unlike model A the initial slip exponent for the KPZ equation can be expressed by the dynamical exponent z. In 1+1 dimensions, for which z is known exactly, the analytical theory for the KPZ equation is confirmed by a Monte-Carlo simulation of a simple ballistic deposition model. In 2+1 dimensions z is estimated from the short-time evolution of the correlation function.Comment: 27 pages LaTeX with epsf style, 4 figures in eps format, submitted to Phys. Rev.

    Coastal change and hypoxia in the northern Gulf of Mexico: Part I

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    International audienceThe Committee on Environment and Natural Resources (CENR) has identified the input of nutrient-rich water from the Mississippi/Atchafalaya River Basin (MARB) as the prime cause of hypoxia in the northern Gulf of Mexico and the prime means for its control. A Watershed Nutrient Task Force was formed to solve the hypoxia problem by managing the MARB catchment. However, the hypoxic zone is also experiencing massive physical, hydrological, chemical and biological changes associated with an immense river-switching and delta-building event that occurs here about once a millennium. Coastal change induced hypoxia in the northern Gulf of Mexico prior to European settlement. It is recommended that for further understanding and control of Gulf hypoxia the Watershed Nutrient Task Force adopt a truly holistic environmental approach which includes the full effects of this highly dynamic coastal area

    The Projective Technique of Personality Study as Illustrated by the Rorschach Test, its History, its Method, and its Status

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    Not available.John E. KrugNot ListedNot ListedMaster of ScienceDepartment Not ListedCunningham Memorial library, Terre Haute, Indiana State University.isua-thesis-1948-krug.pdfMastersTitle from document title page. Document formatted into pages: contains 106p.: ill. Includes appendix and bibliography

    Distance education

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    Distance education has helped to reach many students regardless of geographic location and differences in learning styles. Interactive classrooms, for example the ICN, have helped to eliminate barriers regardless of the distance between locations. Still the concern remains with finding a way to address the different learning styles of the student. This paper will examine both the institutional and situational barriers and how K-12 district administrators in one area of Iowa and the nearby community college are addressing the issues

    Surface currents and slope selection in crystal growth

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    We face the problem to determine the slope dependent current during the epitaxial growth process of a crystal surface. This current is proportional to delta=(p+) + (p-), where (p+/-) are the probabilities for an atom landing on a terrace to attach to the ascending (p+) or descending (p-) step. If the landing probability is spatially uniform, the current is proved to be proportional to the average (signed) distance traveled by an adatom before incorporation in the growing surface. The phenomenon of slope selection is determined by the vanishing of the asymmetry delta. We apply our results to the case of atoms feeling step edge barriers and downward funnelling, or step edge barriers and steering. In the general case, it is not correct to consider the slope dependent current j as a sum of separate contributions due to different mechanisms.Comment: 6 pages. The text has been strongly revised and Fig.1 has been changed. Accepted for publication in the "Comptes Rendus Physique

    Linear theory of unstable growth on rough surfaces

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    Unstable homoepitaxy on rough substrates is treated within a linear continuum theory. The time dependence of the surface width W(t)W(t) is governed by three length scales: The characteristic scale l0l_0 of the substrate roughness, the terrace size lDl_D and the Ehrlich-Schwoebel length lESl_{ES}. If lESlDl_{ES} \ll l_D (weak step edge barriers) and l0lmlDlD/lESl_0 \ll l_m \sim l_D \sqrt{l_D/l_{ES}}, then W(t)W(t) displays a minimum at a coverage θmin(lD/lES)2\theta_{\rm min} \sim (l_D/l_{ES})^2, where the initial surface width is reduced by a factor l0/lml_0/l_m. The r\^{o}le of deposition and diffusion noise is analyzed. The results are applied to recent experiments on the growth of InAs buffer layers [M.F. Gyure {\em et al.}, Phys. Rev. Lett. {\bf 81}, 4931 (1998)]. The overall features of the observed roughness evolution are captured by the linear theory, but the detailed time dependence shows distinct deviations which suggest a significant influence of nonlinearities

    An Exactly Solved Model of Three Dimensional Surface Growth in the Anisotropic KPZ Regime

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    We generalize the surface growth model of Gates and Westcott to arbitrary inclination. The exact steady growth velocity is of saddle type with principal curvatures of opposite sign. According to Wolf this implies logarithmic height correlations, which we prove by mapping the steady state of the surface to world lines of free fermions with chiral boundary conditions.Comment: 9 pages, REVTEX, epsf, 3 postscript figures, submitted to J. Stat. Phys, a wrong character is corrected in eqs. (31) and (32

    Controlling surface morphologies by time-delayed feedback

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    We propose a new method to control the roughness of a growing surface, via a time-delayed feedback scheme. As an illustration, we apply this method to the Kardar-Parisi-Zhang equation in 1+1 dimensions and show that the effective growth exponent of the surface width can be stabilized at any desired value in the interval [0.25,0.33], for a significant length of time. The method is quite general and can be applied to a wide range of growth phenomena. A possible experimental realization is suggested.Comment: 4 pages, 3 figure
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