Green's Dyadic Approach of the Self-Stress on a Dielectric-Diamagnetic Cylinder with Non-Uniform Speed of Light

We present a Green's dyadic formulation to calculate the Casimir energy for a dielectric-diamagnetic cylinder with the speed of light differing on the inside and outside. Although the result is in general divergent, special cases are meaningful. It is pointed out how the self-stress on a purely dielectric cylinder vanishes through second order in the deviation of the permittivity from its vacuum value, in agreement with the result calculated from the sum of van der Waals forces.Comment: 8 pages, submitted to proceedings of QFEXT0

Surface Divergences and Boundary Energies in the Casimir Effect

Although Casimir, or quantum vacuum, forces between distinct bodies, or self-stresses of individual bodies, have been calculated by a variety of different methods since 1948, they have always been plagued by divergences. Some of these divergences are associated with the volume, and so may be more or less unambiguously removed, while other divergences are associated with the surface. The interpretation of these has been quite controversial. Particularly mysterious is the contradiction between finite total self-energies and surface divergences in the local energy density. In this paper we clarify the role of surface divergences.Comment: 8 pages, 1 figure, submitted to proceedings of QFEXT0

Non-contact gears: II. Casimir torque between concentric corrugated cylinders for the scalar case

The Casimir interaction between two concentric corrugated cylinders provides the mechanism for non-contact gears. To this end, we calculate the Casimir torque between two such cylinders, described by $\delta$-potentials, which interact through a scalar field. We derive analytic expressions for the Casimir torque for the case when the corrugation amplitudes are small in comparison to the corrugation wavelengths. We derive explicit results for the Dirichlet case, and exact results for the weak coupling limit, in the leading order. The results for the corrugated cylinders approach the corresponding expressions for the case of corrugated parallel plates in the limit of large radii of cylinders (relative to the difference in their radii) while keeping the corrugation wavelength fixed.Comment: 9 pages, 3 figures, references correcte

Non-contact gears: I. Next-to-leading order contribution to lateral Casimir force between corrugated parallel plates

We calculate the lateral Casimir force between corrugated parallel plates, described by $\delta$-function potentials, interacting through a scalar field, using the multiple scattering formalism. The contributions to the Casimir energy due to uncorrugated parallel plates is treated as a background from the outset. We derive the leading- and next-to-leading-order contribution to the lateral Casimir force for the case when the corrugation amplitudes are small in comparison to corrugation wavelengths. We present explicit results in terms of finite integrals for the case of the Dirichlet limit, and exact results for the weak-coupling limit, for the leading- and next-to-leading-orders. The correction due to the next-to-leading contribution is significant. In the weak coupling limit we calculate the lateral Casimir force exactly in terms of a single integral which we evaluate numerically. Exact results for the case of the weak limit allows us to estimate the error in the perturbative results. We show that the error in the lateral Casimir force, in the weak coupling limit, when the next-to-leading order contribution is included is remarkably low when the corrugation amplitudes are small in comparison to corrugation wavelengths. We expect similar conclusions to hold for the Dirichlet case. The analogous calculation for the electromagnetic case should reduce the theoretical error sufficiently for comparison with the experiments.Comment: 25 pages, 10 figures, appendix added, references corrected, typos correcte

Multiple Scattering: Dispersion, Temperature Dependence, and Annular Pistons

We review various applications of the multiple scattering approach to the calculation of Casimir forces between separate bodies, including dispersion, wedge geometries, annular pistons, and temperature dependence. Exact results are obtained in many cases.Comment: 15 pages, 12 figures, contributed to the Festschrift for Emilio Elizald

Local and Global Casimir Energies for a Semitransparent Cylindrical Shell

The local Casimir energy density and the global Casimir energy for a massless scalar field associated with a $\lambda\delta$-function potential in a 3+1 dimensional circular cylindrical geometry are considered. The global energy is examined for both weak and strong coupling, the latter being the well-studied Dirichlet cylinder case. For weak-coupling,through $\mathcal{O}(\lambda^2)$, the total energy is shown to vanish by both analytic and numerical arguments, based both on Green's-function and zeta-function techniques. Divergences occurring in the calculation are shown to be absorbable by renormalization of physical parameters of the model. The global energy may be obtained by integrating the local energy density only when the latter is supplemented by an energy term residing precisely on the surface of the cylinder. The latter is identified as the integrated local energy density of the cylindrical shell when the latter is physically expanded to have finite thickness. Inside and outside the delta-function shell, the local energy density diverges as the surface of the shell is approached; the divergence is weakest when the conformal stress tensor is used to define the energy density. A real global divergence first occurs in $\mathcal{O}(\lambda^3)$, as anticipated, but the proof is supplied here for the first time; this divergence is entirely associated with the surface energy, and does {\em not} reflect divergences in the local energy density as the surface is approached.Comment: 28 pages, REVTeX, no figures. Appendix added on perturbative divergence

Biological control of banana black Sigatoka disease with Trichoderma.

A Sigatoka-negra causada por Mycosphaerella fijiensis é a doença mais destrutiva da bananeira em termos mundiais. O patógeno está em uma fase invasiva no Brasil e já se encontra distribuído na maior parte dos Estados do país. O potencial de 29 isolados de Trichoderma spp. para o controle da Sigatoka-negra foi estudado sob condições de campo. Quatro isolados foram capazes de reduzir significativamente a severidade da doença e foram selecionados para um segundo experimento de campo. O isolado 2.047 apresentou os melhores resultados e foi utilizado em testes de sensibilidade a fungicidas e produção massal. Esse isolado foi identificado como Trichoderma atroviride por meio do sequenciamento de fragmentos da regiões ITS do rDNA e tef-1? da RNA polymerase. Trichoderma atroviride foi tão efetivo no controle da Sigatoka-negra quanto o fungicida Azoxystrobin, que é recomendado para o controle da doença. O agente de controle biológico tem potencial para o controle da Sigatoka-negra e pode ser produzido em massa em arroz autoclavado para aplicações no campo

Efeito da densidade de estocagem na homogeneidade do crescimento de juvenis de pirarucu em ambiente confinado.

O objetivo deste trabalho foi avaliar o efeito da densidade de estocagem sobre a homogeneidade do crescimento de juvenis de pirarucu (Arapaima gigas) em tanques-rede de pequeno volume. Foram usados 12 tanques-rede de 1 m3 em um viveiro de 120 m2 perfazendo três tratamentos (15, 20 e 25 peixes/m3) com quatro repetições. Os peixes foram estocados com peso médio inicial de 10,1±0,3 g e distribuídos homogeneamente (p>0,05) entre os tratamentos. Os coeficientes de variação do crescimento e do fator de condição não apresentaram diferenças significativas (p>0,05) ao contrário do consumo e da conversão alimentar aparente (p<0,05). O consumo foi inversamente proporcional ao incremento da densidade, indicando que o aumento da densidade de estocagem favoreceu o melhor aproveitamento do alimento. Não foram observadas diferenças comportamentais entre os tratamentos. O crescimento dos juvenis de pirarucu não é influenciado pela densidade de estocagem ou por interações intra-específicas

Biomassa sustentável de juvenis de pirarucu em tanques-rede de pequeno volume.

O objetivo deste trabalho foi estimar a biomassa sustentável de juvenis de pirarucu Arapaima gigas (Cuvier, 1829) mantidos em tanques-rede de pequeno volume. Durante 200 dias os peixes foram estocados em quatro tanques-rede de 1 m3, cada um com biomassa inicial total de 0,84±0,14 kg (21 pei-xes/tanque-rede). Os tanques-rede foram colocados em um viveiro de 50 m2 com renovação constante de água. Os índices do fator de condição, da conversão alimentar, do crescimento específico e do ganho de biomassa revelaram que a biomassa sustentável de juvenis de pirarucu para a criação intensiva em tanques-rede de 1 m3 foi de aproximadamente 29 kg. O comprimento alcançado pelo peixe, no espaço reduzido do tanque-rede, é um fator limitante para manter bons índices zootécnico