Topological defects in lattice models and affine Temperley-Lieb algebra

This paper is the first in a series where we attempt to define defects in critical lattice models that give rise to conformal field theory topological defects in the continuum limit. We focus mostly on models based on the Temperley-Lieb algebra, with future applications to restricted solid-on-solid (also called anyonic chains) models, as well as non-unitary models like percolation or self-avoiding walks. Our approach is essentially algebraic and focusses on the defects from two points of view: the "crossed channel" where the defect is seen as an operator acting on the Hilbert space of the models, and the "direct channel" where it corresponds to a modification of the basic Hamiltonian with some sort of impurity. Algebraic characterizations and constructions are proposed in both points of view. In the crossed channel, this leads us to new results about the center of the affine Temperley-Lieb algebra; in particular we find there a special subalgebra with non-negative integer structure constants that are interpreted as fusion rules of defects. In the direct channel, meanwhile, this leads to the introduction of fusion products and fusion quotients, with interesting mathematical properties that allow to describe representations content of the lattice model with a defect, and to describe its spectrum.Comment: 41

Immiscible Rayleigh-Taylor turbulence using mesoscopic lattice Boltzmann algorithms

We studied turbulence induced by the Rayleigh-Taylor (RT) instability for 2D immiscible two-component flows by using a multicomponent lattice Boltzmann method with a Shan-Chen pseudopotential implemented on GPUs. We compare our results with the extension to the 2D case of the phenomenological theory for immiscible 3D RT studied by Chertkov and collaborators ({\it Physical Review E 71, 055301, 2005}). Furthermore, we compared the growth of the mixing layer, typical velocity, average density profiles and enstrophy with the equivalent case but for miscible two-component fluid. Both in the miscible and immiscible cases, the expected quadratic growth of the mixing layer and the linear growth of the typical velocity are observed with close long-time asymptotic prefactors but different initial transients. In the immiscible case, the enstrophy shows a tendency to grow like $\propto t^{3/2}$, with the highest values of vorticity concentrated close to the interface. In addition, we investigate the evolution of the typical drop size and the behavior of the total length of the interface in the emulsion-like state, showing the existence of a power law behavior compatible with our phenomenological predictions. Our results can also be considered as a first validation step to extend the application of lattice Boltzmann tool to study the 3D immiscible case.Comment: 25 pages, 12 figure

Manejo da mancha angular (Xanthomonas campestris pv. Mangiferae indica) na produção integrada de manga.

bitstream/CPATSA/33055/1/INT63.pd

Intensificações de doenças em pomares de uva na Zona da Mata de Pernambuco tem causas externas.

Objetivando-se avaliar a causa das perdas dos frutos de uva no Município de São Vicente Férrer, realizou-se uma inspeção com coletas de material vegetal para análises patológicas em laboratório da UFRPE, bem como também foram realizadas análises "in loco

Physicochemical and microstructural properties of composite edible film obtained by complex coacervation between chitosan and whey protein isolate

The aim of this work was to study the potential application of edible films obtained by complex coacervation promoted by the electrostatic interactions between positively charged chitosan (CH) 3% (w/w) and negatively charged whey protein isolate (WPI) 3% (w/w). Preliminary assays of turbidimetry were made in order to find the optimal CH-to-WPI mass ratio for the complex coacervation. The maximum turbidity was obtained in the CH:WPI mass ratio of 0.1:1 (w/w). The dispersions of CH/WPI (both at 3 % (w/w)), WPI 5 % (w/w) and CH 3% (w/w) were analyzed by Cryo-scanning electron microscopy (Cryo-SEM) and the micrograph of CH/WPI coacervate presented a more compact network structure than dispersions of individual biopolymers. The composite CH/WPI films were prepared, characterized and their performance and physicochemical properties were compared with those of CH or WPI films, in terms of water vapor permeability (WVP), mechanical properties, solubility, sorption isotherms, optical properties, scanning electron microscopy (SEM) imaging, Fourier-transform infrared spectroscopy (FTIR) and differential scanning calorimetry (DSC). Results revealed that the incorporation of small amounts of CH in the matrix of WPI led to form a composite film with higher tensile strength, lower deformation, malleability, flexibility, solubility and WVP in comparison to the mono-component WPI and CH films. The CH incorporation resulted in a decrease in equilibrium moisture content of the CH/WPI film and the Guggenheim-Anderson-de Boer (GAB) model of sorption data indicated isotherms of type II. All the films presented a homogeneous structure, color transparency, which is desired in food applications and packaging technology.This work was supported by the Portuguese Foundation for Science and Technology (FCT) under the scope of the strategic funding of UID/BIO/04469/2020 and UID/QUI/50006/2020 units; the work was also supported by BioTecNorte operation (NORTE-01-0145-FEDER-000004) funded by the European Regional Development Fund under the scope of Norte 2020 - Programa Operacional Regional do Norte.info:eu-repo/semantics/publishedVersio

Enzymatic hydrolysis of raw and pre-treated Eucalyptus.

Ethanol from lignocellulosic biomass (LCB), such as agricultural and forest residues, is known as the second generation (2G) ethanol. Carbohydrate fractions in LCB (cellulose and hemicellulose) are not readily available for microbial fermentation and they need to be released by additional pre-treatment and hydrolysis operations. This process is intrinsically more difficult and costly. In this study the efficiency of enzymatic hydrolysis of the species Eucalyptus urophylla and the hybrid E. urophylla x E. grandis, submitted or not to alkaline pre-treatment with green liquor, has been evaluated. The hydrolysis was carried out with a enzymatic cocktail containing aggressive cellulases, high level of ?-glucosidases and hemicellulase at 6% (g enzyme/g solid), pH 5.0, 50 g.L-1 solids for 72 h, 45 °C and 250 rpm. The pre-treatment promoted disruption of the cellular structure of the samples, allowing easier accessibility for the enzymes and demonstrating higher effectiveness of enzymatic hydrolysis. The maximum efficiency of hydrolysis (81.3%) was observed for pretreated E. urophylla.SOLABIAA

Mapas de contorno da capacidade de água disponível em solo cultivado com videiras irrigadas

A delimitação de zonas homogêneas, quanto aos valores da capacidade de água disponível (CAD) no solo, pode auxiliar o manejo da água na profundidade efetiva das raízes das plantas, tanto pelo conhecimento da extensão dessas zonas em uma área cultivada, como pela possibilidade de realizar um manejo diferenciado da irrigação, quanto ao momento e quantidade de água a ser aplicada. Em vista disso, este trabalho teve como objetivo avaliar a estrutura de dependência espacial da CAD de um Neossolo Quartzarênico, cultivado com videiras irrigadas por microaspersão, nas profundidades de 0-0,20 m e 0,20- 0,40 m; e, no caso de dependência espacial, confeccionar os mapas de contorno dos valores de CAD, para ambas as profundidades, usando o interpolador geoestatístico krigagem. Em 2006, foi estabelecida uma malha retangular de 14 x 12 pontos (168 pontos em cada profundidade), totalizando 336 amostras de solo, nas quais foram determinados os valores do conteúdo de água no solo referentes a capacidade de campo e ao ponto de murcha permanente, e calculados os valores de CAD. Logo após, foi feita a análise exploratória de cada conjunto de dados por meio da estatística clássica e, em seguida, a estrutura de dependência espacial de cada variável (CAD na profundidade de 0-0,20 m e CAD de 0,20-0,40 m) foi analisada por meio da técnica de Geoestatística, possibilitando a elaboração dos mapas de contorno. Resultados mostram que os dados de capacidade de água disponível, em ambas as profundidades, seguem a distribuição normal, segundo o teste de Kolmogorov-Smirnov aos níveis de 10%, 5% e 1% de probabilidade. Os valores de CAD na profundidade de 0-0,20 m apresentaram uma estrutura de dependência espacial (com alcance real de 6,45 m), tornando possível a construção do mapa de contorno, por meio do interpolador geoestatístico krigagem, e a identificação das zonas homogêneas. Já os valores de CAD referentes a profundidade de 0,20-0,40 m apresentaram um semivariograma sem patamar, não sendo possível a construção do mapa de contorno por meio deste interpolador, necessitando, desta forma, um estudo mais aprofundado do comportamento da CAD nesta profundidade