A lower bound to the spectral threshold in curved tubes

We consider the Laplacian in curved tubes of arbitrary cross-section rotating together with the Frenet frame along curves in Euclidean spaces of arbitrary dimension, subject to Dirichlet boundary conditions on the cylindrical surface and Neumann conditions at the ends of the tube. We prove that the spectral threshold of the Laplacian is estimated from below by the lowest eigenvalue of the Dirichlet Laplacian in a torus determined by the geometry of the tube.Comment: LaTeX, 13 pages; to appear in R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sc

Phase Transition and Monopoles Densities in a Nearest Neighbors Two-Dimensional Spin Ice Model

In this work, we show that, due to the alternating orientation of the spins in the ground state of the artificial square spin ice, the influence of a set of spins at a certain distance of a reference spin decreases faster than the expected result for the long range dipolar interaction, justifying the use of the nearest neighbor two dimensional square spin ice model as an effective model. Using an extension of the model presented in ref. [Scientific Reports 5, 15875 (2015)], considering the influence of the eight nearest neighbors of each spin on the lattice, we analyze the thermodynamics of the model and study the monopoles and string densities dependence as a function of the temperature.Comment: 11 pages, 8 figure

Diversidade cultural, virulência e agressividade de Rhizoctonia spp. em solos cultivados com feijoeiro comum.

Este trabalho teve como objetivo avaliar a diversidade cultural, a virulência e a agressividade de isolados de Rhizoctonia solani ao feijoeiro comum (Phaseolus vulgaris), provenientes de áreas com histórico de cultivo desta espécie

Resonance Propagation and Threshold Singularities

We consider the problem of propagation of an unstable particle in the framework of Quantum Field Theory. Using unitarity, we show that a real renormalization constant free of threshold singularities naturally arises.Comment: 5 pages, no figures, revte

Resistência do solo à penetração sob vegetação nativa e pastagem cultivada no Pantanal Sul-Mato-Grossense.

Este trabalho teve por objetivo avaliar as alterações na resistência do solo à penetração em razão da conversão da vegetação arbórea nativa em pastagem cultivada no Pantanal Sul-Mato-Grossense. The objective of this work was to evaluate the alterations in soil resistance to penetration due to conversion of natural tree vegetation into cultivated pasture in the Pantanal wetlands, at south of Mato Grosso, Brazil