Master Operators Govern Multifractality in Percolation

Using renormalization group methods we study multifractality in percolation at the instance of noisy random resistor networks. We introduce the concept of master operators. The multifractal moments of the current distribution (which are proportional to the noise cumulants $C_R^{(l)} (x, x^\prime)$ of the resistance between two sites x and $x^\prime$ located on the same cluster) are related to such master operators. The scaling behavior of the multifractal moments is governed exclusively by the master operators, even though a myriad of servant operators is involved in the renormalization procedure. We calculate the family of multifractal exponents ${\psi_l}$ for the scaling behavior of the noise cumulants, $C_R^{(l)} (x, x^\prime) \sim | x - x^\prime |^{\psi_l /\nu}$, where $\nu$ is the correlation length exponent for percolation, to two-loop order.Comment: 6 page

Diluted Networks of Nonlinear Resistors and Fractal Dimensions of Percolation Clusters

We study random networks of nonlinear resistors, which obey a generalized Ohm's law, $V\sim I^r$. Our renormalized field theory, which thrives on an interpretation of the involved Feynman Diagrams as being resistor networks themselves, is presented in detail. By considering distinct values of the nonlinearity r, we calculate several fractal dimensions characterizing percolation clusters. For the dimension associated with the red bonds we show that $d_{\scriptsize red} = 1/\nu$ at least to order {\sl O} (\epsilon^4), with $\nu$ being the correlation length exponent, and $\epsilon = 6-d$, where d denotes the spatial dimension. This result agrees with a rigorous one by Coniglio. Our result for the chemical distance, d_{\scriptsize min} = 2 - \epsilon /6 - [ 937/588 + 45/49 (\ln 2 -9/10 \ln 3)] (\epsilon /6)^2 + {\sl O} (\epsilon^3) verifies a previous calculation by one of us. For the backbone dimension we find D_B = 2 + \epsilon /21 - 172 \epsilon^2 /9261 + 2 (- 74639 + 22680 \zeta (3))\epsilon^3 /4084101 + {\sl O} (\epsilon^4), where $\zeta (3) = 1.202057...$, in agreement to second order in $\epsilon$ with a two-loop calculation by Harris and Lubensky.Comment: 29 pages, 7 figure

Effects of surfaces on resistor percolation

We study the effects of surfaces on resistor percolation at the instance of a semi-infinite geometry. Particularly we are interested in the average resistance between two connected ports located on the surface. Based on general grounds as symmetries and relevance we introduce a field theoretic Hamiltonian for semi-infinite random resistor networks. We show that the surface contributes to the average resistance only in terms of corrections to scaling. These corrections are governed by surface resistance exponents. We carry out renormalization group improved perturbation calculations for the special and the ordinary transition. We calculate the surface resistance exponents \phi_{\mathcal S \mathnormal} and \phi_{\mathcal S \mathnormal}^\infty for the special and the ordinary transition, respectively, to one-loop order.Comment: 19 pages, 3 figure

Componentes dos frutos de cultivares de coqueiro-anão (Cocos nucifera L. Var. Nana).

Estabelece as percentagens dos componentes de frutos de coqueiro anao, nos pontos de colheita para agua de coco, seis meses e sete meses, e para albumen solido, doze meses.bitstream/item/91445/1/CPATC-PESQ.-AND.-64-98.pd

Intermediate temperature dynamics of one-dimensional Heisenberg antiferromagnets

We present a general theory for the intermediate temperature (T) properties of Heisenberg antiferromagnets of spin-S ions on p-leg ladders, valid for 2Sp even or odd. Following an earlier proposal for 2Sp even (Damle and Sachdev, cond-mat/9711014), we argue that an integrable, classical, continuum model of a fixed-length, 3-vector applies over an intermediate temperature range; this range becomes very wide for moderate and large values of 2Sp. The coupling constants of the effective model are known exactly in terms of the energy gap above the ground state (for 2Sp even) or a crossover scale (for 2Sp odd). Analytic and numeric results for dynamic and transport properties are obtained, including some exact results for the spin-wave damping. Numerous quantitative predictions for neutron scattering and NMR experiments are made. A general discussion on the nature of T>0 transport in integrable systems is also presented: an exact solution of a toy model proves that diffusion can exist in integrable systems, provided proper care is taken in approaching the thermodynamic limit.Comment: 38 pages, including 12 figure

Nicho trófico de Abelha-branca (Frieseomelitta doederelini) na região do Submédio do Vale do São Francisco.

Com este trabalho, objetivou-se identificar as espécies vegetais que formam o nicho trófico da abelha-branca (Frieseomelitta doederleini), uma abelha-sem-ferrão potencialmente importante para a meliponicultura na região do Submédio do Vale do São Francisco

Interfacial adsorption phenomena of the three-dimensional three-state Potts model

We study the interfacial adsorption phenomena of the three-state ferromagnetic Potts model on the simple cubic lattice by the Monte Carlo method. Finite-size scaling analyses of the net-adsorption yield the evidence of the phase transition being of first-order and $k_{\rm B} T_{\rm C} / J = 1.8166 (2)$.Comment: 14 page

Nonequilibrium relaxation of the two-dimensional Ising model: Series-expansion and Monte Carlo studies

We study the critical relaxation of the two-dimensional Ising model from a fully ordered configuration by series expansion in time t and by Monte Carlo simulation. Both the magnetization (m) and energy series are obtained up to 12-th order. An accurate estimate from series analysis for the dynamical critical exponent z is difficult but compatible with 2.2. We also use Monte Carlo simulation to determine an effective exponent, z_eff(t) = - {1/8} d ln t /d ln m, directly from a ratio of three-spin correlation to m. Extrapolation to t = infinity leads to an estimate z = 2.169 +/- 0.003.Comment: 9 pages including 2 figure

New Dynamic Monte Carlo Renormalization Group Method

The dynamical critical exponent of the two-dimensional spin-flip Ising model is evaluated by a Monte Carlo renormalization group method involving a transformation in time. The results agree very well with a finite-size scaling analysis performed on the same data. The value of $z = 2.13 \pm 0.01$ is obtained, which is consistent with most recent estimates

Níveis séricos de selênio de cabras da raça Saanen criadas em ambiente tropical.

Resumo: Objetivou-se com este estudo analisar os níveis de selênio no sangue de cabras leiteiras criadas em ambiente tropical. O estudo foi realizado na Fazenda Experimental pertencente à Universidade Estadual Vale do Acaraú- UVA, com 12 cabras da raça Sannen, não prenhes e clinicamente saudáveis. As fêmeas foram criadas em regime semiextensivo, pela manhã ficavam em pasto nativo e à tarde retornavam para o galpão, permanecendo em baias individuais e recebiam concentrado adicionado de selênio orgânico na sua dieta. Antes e após a suplementação com selênio orgânico foi realizada a coleta de sangue para determinação dos níveis de selênio sérico. Observaram-se maiores níveis séricos de selênio após sua adição no concentrado. A utilização do selênio orgânico na dieta das cabras aumentou as concentrações sanguíneas desse micromineral na época seca do ano na região semiárida. [Serum selenium levels of Saanen goats in a tropical environment]. Abstract: The study aimed to analyze the levels of selenium in the blood of dairy goats in tropical environment. The study was conducted at the Experimental Farm from Universidade Estadual Vale do Acaraú - UVA with 12 goats Sannen race, not pregnant and clinically healthy. Females were raised in semi extensive diet, in the morning they were in native pasture and in the afternoon they returned to the barn, staying in individual stalls and they received concentrate added by organic selenium in their diet. Before and after supplementation with organic selenium, blood collection was performed to determine the serum levels of selenium. Higher serum levels of selenium could be observed after its addition in the concentrate. The use of organic selenium in the diet of goats increased blood concentrations of this trace mineral in the dry season in the semiarid region