Semiclassical image potential at a solid surface

A surface dielectric function of a semi-infinite plane-bounded metal is defined in the spirit of the plasmon-pole dielectric function of the bulk. It is modeled in such a way that the surface-plasmon dispersion relation is recovered for small momentum transfer. This function is employed to compute the image potential at all distances outside the surface. Interaction with bulk modes is neglected for simplicity and clarity. The interaction of a massive point charge with a metal surface is also considered in the context of a boson model for surface-plasmon excitation. We present a new definition of the image potential for this case.

Avalanches in a fluctuationless first-order phase transition in a random-bond Ising model

We study the behavior of the random-bond Ising model at zero temperature by numerical simulations for a variable amount of disorder. The model is an example of systems exhibiting a fluctuationless first-order phase transition similar to some field-induced phase transitions in ferromagnetic systems and the martensitic phase transition appearing in a number of metallic alloys. We focus on the study of the hysteresis cycles appearing when the external field is swept from positive to negative values. By using a finite-size scaling hypothesis, we analyze the disorder-induced phase transition between the phase exhibiting a discontinuity in the hysteresis cycle and the phase with the continuous hysteresis cycle. Critical exponents characterizing the transition are obtained. We also analyze the size and duration distributions of the magnetization jumps (avalanches).

Hidrogramas e sedimentogramas associados à erosão hídrica em solo cultivado com diferentes sequências culturais, com diferentes condições físicas na superfície

Estudos hidrossedimentológicos detalhados são de grande valia para o melhor entendimento e controle do processo de erosão hídrica e, por conseguinte, para se aprofundar a pesquisa no assunto e, assim, praticar a conservação do solo e da água de modo mais eficaz e duradouro. Considerando isso, realizou-se este trabalho com o objetivo de desenvolver hidrogramas (taxas instantâneas de descarga da enxurrada versus tempo) e sedimentogramas (concentrações instantâneas de sedimento na enxurrada e taxas instantâneas de perda de solo versus tempo) individualizados (cada repetição de tratamento), associados à erosão hídrica ocorrida em solo cultivado com diferentes sequências culturais (gramíneas e leguminosas de inverno e verão, implantadas em semeadura direta, nos modos de cultivo isolado e consorciado), com diferentes condições físicas na superfície (solo não mobilizado, solo recém-escarificado, solo previamente escarificado e solo recém-gradeado, com presença e ausência de crosta e de completa, pouca e nenhuma cobertura por resíduos culturais). O estudo foi desenvolvido em campo, na EEA/UFRGS, em Eldorado do Sul (RS), usando-se chuva simulada e um Argissolo Vermelho distrófico típico com textura franco-argiloarenosa na camada superficial e declividade média de 0,115 m m-1. No início da pesquisa esse solo encontrava-se bastante degradado. As chuvas simuladas (seis no total, sendo uma para cada teste de erosão) foram aplicadas com o aparelho simulador de braços rotativos, todas elas na intensidade planejada de 64 mm h-1 (neste trabalho usaram-se as intensidades observadas das chuvas, as quais variaram de 59,1 a 74,6 mm h-1) e com duração variando de 1 a 3 h (devido almejar-se atingir a condição de equilíbrio da enxurrada em todos os testes de erosão). Observou-se que os hidrogramas e sedimentogramas, de modo geral, resultaram coerentes com as condições das quais foram desenvolvidos. Assim, na maior parte das vezes, os hidrogramas diferenciaram-se mais entre os testes de erosão do que entre os tratamentos de sequência cultural, e o inverso ocorreu com os sedimentogramas. As superfícies de solo não mobilizadas e com pequena rugosidade e pouca cobertura, de modo geral, proporcionaram hidrogramas e sedimentogramas com menor tempo de partida e maior magnitude, independentemente da presença ou ausência de crosta e do tipo de sequência cultural. As superfícies de solo recém-mobilizadas e com média e grande rugosidade, de modo geral, proporcionaram hidrogramas e sedimentogramas com maior tempo de partida e menor magnitude, praticamente independentemente da cobertura e do tipo de sequência cultural. As superfícies de solo com completa cobertura tiveram suas enxurradas diminuídas e suas erosões eliminadas, independentemente da sua mobilização e do tipo de sequência cultural. A sequência cultural com teosinto proporcionou hidrogramas e sedimentogramas com os maiores tempos de partida e as menores magnitudes, seguida das com milho+feijão-miúdo e milheto, as quais diferenciaram pouco entre si. As repetições dos tratamentos proveram valores das taxas instantâneas de descarga da enxurrada que se pareceram mais e se distribuíram no tempo de modo mais uniforme do que os providos para as correspondentes concentrações instantâneas de sedimento e taxas instantâneas de perda de solo. Os dados obtidos foram valiosos no que diz respeito a poder entender melhor a variação comumente observada nos resultados de pesquisas de erosão hídrica realizadas em campo.

Current-density-functional approach to large quantum dots in intense magnetic fields

Within current-density-functional theory, we have studied a quantum dot made of 210 electrons confined in a disk geometry. The ground state of this large dot exhibits some features as a function of the magnetic field (Beta) that can be attributed in a clear way to the formation of compressible and incompressible states of the system. The orbital and spin angular momenta, the total energy, ionization and electron chemical potentials of the ground state, as well as the frequencies of far-infrared edge modes are calculated as a function of Beta, and compared with available experimental and theoretical results.

Structure and far-infrared edge modes of quantum antidots at zero magnetic field

We have investigated edge modes of different multipolarity sustained by quantum antidots at zero magnetic field. The ground state of the antidot is described within a local-density-functional formalism. Two sum rules, which are exact within this formalism, have been derived and used to evaluate the energy of edge collective modes as a function of the surface density and the size of the antidot.

Systematics of properties of the electron gas in deep-etched quantum wires

An efficient method is developed for an iterative solution of the Poisson and Schro¿dinger equations, which allows systematic studies of the properties of the electron gas in linear deep-etched quantum wires. A much simpler two-dimensional (2D) approximation is developed that accurately reproduces the results of the 3D calculations. A 2D Thomas-Fermi approximation is then derived, and shown to give a good account of average properties. Further, we prove that an analytic form due to Shikin et al. is a good approximation to the electron density given by the self-consistent methods.

Spin and density longitudinal response of quantum dots in the time-dependent local-spin-density approximation

The longitudinal dipole response of a quantum dot has been calculated in the far-infrared regime using local-spin-density-functional theory. We have studied the coupling between the collective spin and density modes as a function of the magnetic field. We have found that the spin dipole mode and single-particle excitations have a sizable overlap, and that the magnetoplasmon modes can be excited by the dipole spin operator if the dot is spin polarized. The frequency of the dipole spin edge mode presents an oscillation which is clearly filling factor (v) related. We have found that the spin dipole mode is especially soft for even-n values. Results for selected numbers of electrons and confining potentials are discussed.

Adsorption potentials for nonplanar geometries

We present a method to compute, assuming a continuous distribution of sources, the elementary potential created by a differential element of volume of matter, whose integral generates a known adsorption field V(z) for a planar surface. We show that this elementary potential is univocally determined by the original field and can be used to generate adsorption potentials for other nontrivial geometries. We illustrate the method for the Chizmeshya-Cole-Zaremba physisorption potential and discuss several examples and applications.

Relações solo-superfície geomórfica em uma topossequência várzea-terra firme na região de Humaitá (AM)

O conceito de superfície geomórfica permite uma interligação entre os diferentes ramos da ciência do solo, tais como geologia, geomorfologia e pedologia. O objetivo deste trabalho foi estudar as relações solo-superfície geomórfica em uma topossequência de 4.500 m na transição várzea/terra firme, na região de Humaitá (AM). Do divisor de águas até a planície do rio Madeira, as superfícies geomórficas foram identificadas com base na ruptura do declive do terreno, em critérios estratigráficos e em outras observações de campo. Foram abertas trincheiras nos segmentos mapeados da topossequência, os perfis de solos foram caracterizados morfologicamente e amostras foram coletadas de seus horizontes. Foram realizadas análises físicas de granulometria, argila dispersa em água, grau de floculação, densidade do solo, densidade das partículas, porosidade total e condutividade hidráulica do solo saturado. As análises químicas incluíram pH em água e KCl; Ca, Mg, K, Na e Al trocáveis; P disponível; H + Al e C orgânico; SiO2, Al2O3 e Fe2O3 do ataque sulfúrico; Fe "livre" extraído com ditionito-citrato-bicarbonato; e ferro mal cristalizado, extraído com oxalato de amônio. Os índices ∆pH, relação silte/argila, Ki e Fe d/Fe t indicaram solos mais intemperizados na parte mais elevada da paisagem em comparação ao declive de infiltração, declive convexo e sopé aluvial, coincidindo com a maior idade da superfície geomórfica I em relação às superfícies geomórficas II e III. As variações dos solos na transeção estudada mostraram solos mais intemperizados nos ambientes de terra firme quando comparados aos solos dos ambientes de várzeas. O entendimento dos eventos geomórficos favoreceu a compreensão da variação dos atributos dos solos na topossequência.

Anomalous roughening of Hele-Shaw flows with quenched disorder

The kinetic roughening of a stable oil-air interface moving in a Hele-Shaw cell that contains a quenched columnar disorder (tracks) has been studied. A capillary effect is responsible for the dynamic evolution of the resulting rough interface, which exhibits anomalous scaling. The three independent exponents needed to characterize the anomalous scaling are determined experimentally. The anomalous scaling is explained in terms of the initial acceleration and subsequent deceleration of the interface tips in the tracks coupled by mass conservation. A phenomenological model that reproduces the measured global and local exponents is introduced.

Growth of unstable interfaces in disordered media

The effects of a disordered medium in the growth of unstable interfaces are studied by means of two local models with multiplicative and additive quenched disorder, respectively. For short times and large pushing the multiplicative quenched disorder is equivalent to a time-dependent noise. In this regime, the linear dispersion relation contains a destabilizing contribution introduced by the noise. For long times, the interface always gets pinned. We model the systematics of the pinned shapes by means of an effective nonlinear model. These results show good agreement with numerical simulations. For the additive noise we find numerically that a depinning transition occurs.

Dynamical scaling of imbibition in columnar geometries

compatible with the usual nonlocal model governed by surface tension that results from a macroscopic description. To explore this discrepancy, we exhaustively analyze numerical integrations of a phase-field model with dichotomic columnar disorder. We find that two distinct behaviors are possible depending on the capillary contrast between the two values of disorder. In a high-contrast case, where interface evolution is mainly dominated by the disorder, an inherent anomalous scaling is always observed. Moreover, in agreement with experimental work, the interface motion has to be described through a local model. On the other hand, in a lower-contrast case, the interface is dominated by interfacial tension and can be well modeled by a nonlocal model. We have studied both spontaneous and forced-flow imbibition situations, giving a complete set of scaling exponents in each case, as well as a comparison to the experimental results.

Experiments in a rotating Hele-Shaw cell

We introduce a modification to Hele-Shaw flows consisting of a rotating cell. A viscous fluid (oil) is injected at the rotation axis of the cell, which is open to air. The morphological instability of the oil-air interface is thus driven by centrifugal force and is controlled by the density (not viscosity) difference. We derive the linear dispersion relation and verify the maximum growth rate selection of initial patterns within experimental uncertainty. The nonlinear growth regime is studied in the case of vanishing injection rate. Several characteristic lengths are studied to quantify the patterns obtained. Experimental data exhibit good collapse for two characteristic lengths, namely, the radius of gyration and the radial finger length, which in the nonlinear regime appear to grow linearly in time.