A new look at the 2D Ising model from exact partition function zeros for large lattice sizes

A general numerical method is presented to locate the partition function zeros in the complex beta plane for large lattice sizes. We apply this method to the 2D Ising model and results are reported for square lattice sizes up tp L=64. We also propose an alternative method to evaluate corrections to scaling which relies only on the leading zeros. This method is illustrated with our data.Comment: 9 pages, Latex, 3 figures. To appear in Int. J. Mod. Phys.

Large deviations for non-uniformly expanding maps

We obtain large deviation results for non-uniformly expanding maps with non-flat singularities or criticalities and for partially hyperbolic non-uniformly expanding attracting sets. That is, given a continuous function we consider its space average with respect to a physical measure and compare this with the time averages along orbits of the map, showing that the Lebesgue measure of the set of points whose time averages stay away from the space average decays to zero exponentially fast with the number of iterates involved. As easy by-products we deduce escape rates from subsets of the basins of physical measures for these types of maps. The rates of decay are naturally related to the metric entropy and pressure function of the system with respect to a family of equilibrium states. The corrections added to the published version of this text appear in bold; see last section for a list of changesComment: 36 pages, 1 figure. After many PhD students and colleagues having pointed several errors in the statements and proofs, this is a correction to published article answering those comments. List of main changes in a new last sectio

Dilaton Gravity with a Non-minmally Coupled Scalar Field

We discuss the two-dimensional dilaton gravity with a scalar field as the source matter. The coupling between the gravity and the scalar, massless, field is presented in an unusual form. We work out two examples of these couplings and solutions with black-hole behaviour are discussed and compared with those found in the literature

Is it really possible to grow isotropic on-lattice diffusion-limited aggregates?

In a recent paper (Bogoyavlenskiy V A 2002 \JPA \textbf{35} 2533), an algorithm aiming to generate isotropic clusters of the on-lattice diffusion-limited aggregation (DLA) model was proposed. The procedure consists of aggregation probabilities proportional to the squared number of occupied sites ($k^2$). In the present work, we analyzed this algorithm using the noise reduced version of the DLA model and large scale simulations. In the noiseless limit, instead of isotropic patterns, a $45^\circ$ ($30^\circ$) rotation in the anisotropy directions of the clusters grown on square (triangular) lattices was observed. A generalized algorithm, in which the aggregation probability is proportional to $k^\nu$, was proposed. The exponent $\nu$ has a nonuniversal critical value $\nu_c$, for which the patterns generated in the noiseless limit exhibit the original (axial) anisotropy for $\nu<\nu_c$ and the rotated one (diagonal) for $\nu>\nu_c$. The values $\nu_c = 1.395\pm0.005$ and $\nu_c = 0.82\pm 0.01$ were found for square and triangular lattices, respectively. Moreover, large scale simulations show that there are a nontrivial relation between noise reduction and anisotropy direction. The case $\nu=2$ (\bogo's rule) is an example where the patterns exhibit the axial anisotropy for small and the diagonal one for large noise reduction.Comment: 12 pages, 8 figure

The Age Dependent Luminosities of the Red Giant Branch Bump, Asymptotic Giant Branch Bump, and Horizontal Branch Red Clump

Color-magnitude diagrams of globular clusters often exhibit a prominent horizontal branch (HB) and may also show features such as the red giant branch (RGB) bump and the asymptotic giant branch (AGB) bump. Stellar evolution theory predicts that the luminosities of these features will depend on the metallicity and age of the cluster. We calculate theoretical lines of 2 to 12 Gyr constant age RGB-bumps and AGB-bumps in the V(HB-Bump)--[Fe/H] diagram, which shows the brightness difference between the bump and the HB as a function of metallicity. In order to test the predictions, we identify giant branch bumps in new Hubble Space Telescope color-magnitude diagrams for 8 SMC clusters. First, we conclude that the SMC cluster bumps are RGB-bumps. The data for clusters younger than ~6 Gyr are in fair agreement the relative age dependent luminosities of the HB and RGB-bump. The V(HB-Bump)--[Fe/H] data for clusters older then ~6 Gyr demonstrate a less satisfactory agreement with our calculations. We conclude that ~6 Gyr is a lower bound to the age of clusters for which the Galactic globular cluster, age independent V(HB-Bump)--[Fe/H] calibration is valid. Application of the V(HB-bump)--[Fe/H] diagram to stellar population studies is discussed.Comment: Accepted for publication in the Astrophysical Journal, 30 pages, Latex aaspp4.sty, including 7 postscript figure

Quality in management accounting: approach by activities in large companies

This study intends to contribute to the knowledge about the approach by activities, a management accounting method that promotes the quality of information. As specific objectives we have identified the following: to analyze the knowledge rate regarding the approach by activities, and identify whether there is a link between it and the financial officers’ characteristics; to analyze the utilization rate of the approach by activities, and the factors conditioning it; to analyze whether there is a link between a company’s features, and the use of the approach by activities. The data collection method used was the application of a survey to the financial officers of the largest Portuguese companies, which yielded 61 valid responses. The results found allowed us to conclude the following: the Time Driven Activity Based Costing is very little known and used in Portugal; there is a link between the knowledge of the approach by activities and the financial officers’ gender, age and educational background; there is a link between the use of the approach by activities and two company features: the legal form and the capital holding.info:eu-repo/semantics/acceptedVersio

Fertilização com uréia em superfície em pastagem irrigada e a volatilização de amônia.

A aplicação de uréia em superfície na pastagem pode ocasionar elevadas perdas de amônia por volatilização e uma das alternativas para minimizar esse efeito é a irrigação ou a precipitação logo após a adubação. O objetivo dessa pesquisa foi avaliar o efeito da aplicação de lâminas de água, após a adubação com uréia (75 kgN/ha) na superfície e a lanço em pastagem de colonião, nas perdas de N por volatilização. Foram realizados três experimentos em três épocas, verão, inverno e primavera. O delineamento experimental foi em faixas, em sistema de aspersão em linha, com cinco repetições. Os tratamentos foram quatro níveis de irrigação após a adubação com uréia, sendo três tratamentos com lâminas de água e um controle (sem irrigação). Um dos tratamentos consistia em elevar a umidade do solo à capacidade de campo e os outros dois eram lâminas de água intermediárias aos do controle e capacidade de campo, havendo variação conforme a estação do ano. No verão, a aplicação de apenas 3,2 mm de água elevou a umidade do solo para 52,4% da capacidade de água disponível e reduziu as perdas de N-NH3 para menos de 3,1 % do N aplicado, enquanto a ausência de irrigação provocou perdas de 30,5%. No inverno e na primavera a volatilização de N-NH3 foi baixa, mesmo na ausência de irrigação após a adubação. Na primavera, a irrigação com 16 mm de água elevou a umidade do solo à capacidade de campo e reduziu as perdas para 1,6 % do N aplicado, enquanto no controle as perdas foram de 5%