Massless minimally coupled fields in de Sitter space: O(4)-symmetric states versus de Sitter invariant vacuum

The issue of de Sitter invariance for a massless minimally coupled scalar field is examined. Formally, it is possible to construct a de Sitterinvariant state for this case provided that the zero mode of the field is quantized properly. Here we take the point of view that this state is physically acceptable, in the sense that physical observables can be computed and have a reasonable interpretation. In particular, we use this vacuum to derive a new result: that the squared difference between the field at two points along a geodesic observers spacetime path grows linearly with the observers proper time for a quantum state that does not break de Sitter invariance. Also, we use the Hadamard formalism to compute the renormalized expectation value of the energy-momentum tensor, both in the O(4)-invariant states introduced by Allen and Follaci, and in the de Sitterinvariant vacuum. We find that the vacuum energy density in the O(4)-invariant case is larger than in the de Sitterinvariant case.

Nucleation rates in flat and curved space

Nucleation rates for tunneling processes in Minkowski and de Sitter space are investigated, taking into account one loop prefactors. In particular, we consider the creation of membranes by an antisymmetric tensor field, analogous to Schwinger pair production. This can be viewed as a model for the decay of a false (or true) vacuum at zero temperature in the thin wall limit. Also considered is the spontaneous nucleation of strings, domain walls, and monopoles during inflation. The instantons for these processes are spherical world sheets or world lines embedded in flat or de Sitter backgrounds. We find the contribution of such instantons to the semiclassical partition function, including the one loop corrections due to small fluctuations around the spherical world sheet. We suggest a prescription for obtaining, from the partition function, the distribution of objects nucleated during inflation. This can be seen as an extension of the usual formula, valid in flat space, according to which the nucleation rate is twice the imaginary part of the free energy. For the case of pair production, the results reproduce those that can be obtained using second quantization methods, confirming the validity of instanton techniques in de Sitter space. Throughout the paper, both the gravitational field and the antisymmetric tensor field are assumed external.

Brane-world creation and black holes

An inflating brane world can be created from ``nothing'' together with its anti-de Sitter (AdS) bulk. The resulting space-time has compact spatial sections bounded by the brane. During inflation, the continuum of KK modes is separated from the massless zero mode by the gap m=(3/2)H, where H is the Hubble rate. We consider the analogue of the Nariai solution and argue that it describes the pair production of ``black cigars'' attached to the inflating brane. In the case when the size of the instantons is much larger than the AdS radius, the 5-dimensional action agrees with the 4-dimensional one. Hence, the 5D and 4D gravitational entropies are the same in this limit. We also consider thermal instantons with an AdS black hole in the bulk. These may be interpreted as describing the creation of a hot universe from nothing or the production of AdS black holes in the vicinity of a pre-existing inflating brane world. The Lorentzian evolution of the brane world after creation is briefly discussed. An additional ``integration constant'' in the Friedmann equation-accompanying a term which dilutes like radiation-describes the tidal force in the fifth direction and arises from the mass of a spherical object inside the bulk. In general, this could be a 5-dimensional black hole or a ``parallel'' brane world of negative tension concentrical with our brane-world. In the case of thermal solutions, and in the spirit of the AdS/CFT correspondence, one may attribute the additional term to thermal radiation in the boundary theory. Then, for temperatures well below the AdS scale, the entropy of this radiation agrees with the entropy of the black hole in the AdS bulk.

Avaliação da intensidade de tráfego de tratores em alguns atributos físicos de um argissolo amarelo

O tráfego intenso das máquinas nos solos cultivados aplica diferentes tensões que combinadas com altos valores de umidade desses podem resultar em sua compactação. A condução deste estudo objetivou avaliar a variação em alguns atributos físicos de um Argissolo Amarelo, em razão do tráfego de tratores agrícolas com diferentes números de passadas. A pesquisa foi conduzida na UNIVASF, em Petrolina, PE, em experimento de faixas com fatorial de dois fatores, sendo tratores agrícolas de 2.650, 2.795 e 3.540 kg, com seis níveis de compactação: zero passagem (testemunha) (N0); uma passagem (N1); duas passagens (N2); quatro passagens (N4); seis passagens (N6); e oito passagens (N8). Foram analisadas a densidade, porosidade e resistência mecânica do solo à penetração nas camadas de 0,00-0,10; 0,10-0,20; 0,20-0,30; e 0,30-0,40 m. Os dados de densidade e porosidade foram analisados pela análise de variância com comparação de médias e por meio de regressão; enquanto a resistência mecânica do solo à penetração foi analisada por meio da geoestatística. Os maiores valores de densidade e menores de porosidade foram observados para o trator de menor massa, que possui menor área de contato, pior distribuição de cargas entre os eixos e aplica as maiores pressões no solo. As intensidades do tráfego indicaram que, após a segunda passagem da máquina, os valores de densidade, de maneira geral, foram próximos às demais passagens, para a camada de 0,00-0,10 m, enquanto os valores de porosidade para as camadas de 0,00-0,10 e 0,10-0,20 m reduziram com o aumento do número de passadas. Os mapas de resistência mecânica do solo à penetração indicaram pontos críticos de resistência, mais evidentes para o trator de menor massa.

Superconducting p-branes and extremal black holes

In Einstein-Maxwell theory, magnetic flux lines are "expelled" from a black hole as extremality is approached, in the sense that the component of the field strength normal to the horizon goes to zero. Thus, extremal black holes are found to exhibit the sort of ¿Meissner effect¿ which is characteristic of superconducting media. We review some of the evidence for this effect and present new evidence for it using recently found black hole solutions in string theory and Kaluza-Klein theory. We also present some new solutions, which arise naturally in string theory, which are non-superconducting extremal black holes. We present a nice geometrical interpretation of these effects derived by looking carefully at the higher dimensional configurations from which the lower dimensional black hole solutions are obtained. We show that other extremal solitonic objects in string theory (such as p-branes) can also display superconducting properties. In particular, we argue that the relativistic London equation will hold on the world volume of ¿light¿ superconducting p-branes (which are embedded in flat space), and that minimally coupled zero modes will propagate in the adS factor of the near-horizon geometries of "heavy," or gravitating, superconducting p-branes.

Cryptic recombination in the ever-young sex chromosomes of Hylid frogs.

Sex chromosomes are expected to evolve suppressed recombination, which leads to degeneration of the Y and heteromorphism between the X and Y. Some sex chromosomes remain homomorphic, however, and the factors that prevent degeneration of the Y in these cases are not well understood. The homomorphic sex chromosomes of the European tree frogs (Hyla spp.) present an interesting paradox. Recombination in males has never been observed in crossing experiments, but molecular data are suggestive of occasional recombination between the X and Y. The hypothesis that these sex chromosomes recombine has not been tested statistically, however, nor has the X-Y recombination rate been estimated. Here, we use approximate Bayesian computation coupled with coalescent simulations of sex chromosomes to quantify X-Y recombination rate from existent data. We find that microsatellite data from H. arborea, H. intermedia and H. molleri support a recombination rate between X and Y that is significantly different from zero. We estimate that rate to be approximately 10(5) times smaller than that between X chromosomes. Our findings support the notion that very low recombination rate may be sufficient to maintain homomorphism in sex chromosomes.

Coincident brane nucleation and the neutralization of Lambda

"static" instanton, representing pair creation of critical bubbles¿a process somewhat analogous to thermal activation in flat space. In that case, the branes may stick together due to thermal symmetry restoration, and the pair creation rate depends exponentially on the ambient de Sitter temperature, switching off sharply as the temperature approaches zero. Such a static instanton may be well suited for the ¿saltatory¿ relaxation scenario proposed by Feng et al.

Dissipation, noise and vacuum decay in quantum field theory

We study the process of vacuum decay in quantum field theory focusing on the stochastic aspects of the interaction between long- and short-wavelength modes. This interaction results in a diffusive behavior of the reduced Wigner function describing the state of long-wavelength modes, and thereby to a finite activation rate even at zero temperature. This effect can make a substantial contribution to the total decay rate.

Erosão hídrica influenciada por uma aplicação de dejeto líquido de suínos no solo cultivado em semeadura direta

A suinocultura em Santa Catarina é responsável por geração de emprego no meio rural e, por isso, apresenta grande importância social e econômica. Este trabalho foi realizado entre março e setembro de 2012 para avaliar a influência de uma aplicação de dejeto líquido de suínos na erosão hídrica, em um Nitossolo Bruno aluminoférrico húmico, nos tratamentos constituídos pelas doses: 0; 50; 100; e 200 m³ ha-1 do dejeto aplicado na superfície do solo uma única vez, 30 dias após a germinação da aveia-preta. As parcelas tinham 11 × 3,5 m e declividade média de 14,4 %. Ao longo do ciclo da aveia, foram realizados quatro testes de chuva simulada, cada um com quatro chuvas com intensidade planejada de 65 mm h-1 e duração de 75 min, com simulador de chuva tipo Swanson. As perdas totais de solo e água por erosão hídrica não foram influenciadas pela dose de dejeto líquido de suínos aplicado sobre o solo cultivado com aveia, evidenciando, no entanto, influência do teor de água no solo antecedente às chuvas simuladas aplicadas. Os teores de P e K solúveis na água da enxurrada diminuíram após a aplicação de dejeto líquido de suínos no solo cultivado com aveia, por certo tempo; quando o cultivo foi submetido à chuva simulada, os teores reduziram nas chuvas do teste 1 para as do teste 3 e aumentaram nas do teste 4. Os teores de P e K solúveis na água da enxurrada diminuíram com a dose de 100 m³ ha-1 de dejeto líquido de suínos aplicado sobre o solo para a dose zero m³ ha-1, nas chuvas simuladas dos testes 1 e 2. As perdas totais de P e K solúveis na água da enxurrada não foram influenciadas pela dose de dejeto líquido de suínos aplicado sobre o solo no cultivo da aveia; no entanto, apresentaram tendência de diminuir nas chuvas do teste 1 para as do teste 3 e de aumentar naquelas do teste 4. Os teores de P e K solúvel na água da enxurrada reduziram exponencialmente com a elevação do número de teste de chuva simulada realizada em solo cultivado com aveia, cujos dados do modelo exponencial y = y0 + ae-bx ajustou-se significativamente; o modelo não se adaptou aos dados da dose zero de dejeto em relação ao K.

Disordered backgammon model

In this paper we consider an exactly solvable model that displays glassy behavior at zero temperature due to entropic barriers. The new ingredient of the model is the existence of different energy scales or modes associated with different relaxational time scales. Low-temperature relaxation takes place by partial equilibration of successive lower-energy modes. An adiabatic scaling solution, defined in terms of a threshold energy scale e*, is proposed. For such a solution, modes with energy ee* are equilibrated at the bath temperature, modes with ee* remain out of equilibrium, and relaxation occurs in the neighborhood of the threshold e~e*. The model is presented as a toy example to investigate the conditions related to the existence of an effective temperature in glassy systems and its possible dependence on the energy sector is probed by the corresponding observable.

ADUBAÇÃO FOSFATADA E COMPACTAÇÃO DO SOLO: SISTEMA RADICULAR DA SOJA E DO MILHO E ATRIBUTOS FÍSICOS DO SOLO

Associadas aos benefícios no solo da semeadura direta, podem ocorrer a formação de gradiente vertical de fertilidade e a de uma camada compactada provocada pelo intenso tráfego de máquinas agrícolas, podendo modificar o crescimento radicular das culturas. O objetivo deste trabalho foi avaliar as doses e formas de aplicação da adubação fosfatada e a compactação do solo pelo tráfego de máquinas nos atributos físicos e no sistema radicular da soja e do milho nas condições da Chapada dos Parecis, MT. O estudo foi realizado em Latossolo Vermelho-Amarelo distrófico argiloso em delineamento em blocos casualizados, no esquema fatorial 2 × 4 × 4 e três repetições, sendo duas formas de adubação fosfatada (a lanço e no sulco), quatro doses de P2O5 (0, 50, 100 e 150 kg ha-1) e quatro níveis de compactação (PT0, PT2, PT4 e PT8 – semeadura direta com compactação induzida por tráfego de trator em zero, duas, quatro e oito passadas, respectivamente). O tráfego de máquinas ocasionou compactação do solo em semeadura direta, aumentando a densidade do solo (Ds) e resistência do solo à penetração (RSP) e reduzindo a macroporosidade e porosidade total, sem efeito da adubação fosfatada. A resposta das espécies à forma de adubação fosfatada foi diferenciada, não apresentando influência no crescimento radicular da soja. No milho, quando fornecida a lanço proporcionou maior área de raízes na camada de 0,00-0,05 m; e, quando no sulco, foram observadas entre as camadas menores diferenças na área radicular. Nas camadas de 0,05-0,10 e 0,10-0,20 m, a RSP de 1,48 e 1,84 MPa (Us = 0,28 m3 m-3) e Ds de 1,32 e 1,35 kg dm-3, respectivamente, proporcionaram redução de 19 e 27 % no diâmetro médio das raízes do milho e aumento de 110 e 49 % no diâmetro das raízes da soja.

FERTILIZER RECOMMENDATION SYSTEM FOR MELON BASED ON NUTRITIONAL BALANCE

Melon is one of the most demanding cucurbits regarding fertilization, requiring knowledge of soils, crop nutritional requirements, time of application, and nutrient use efficiency for proper fertilization. Developing support systems for decision-making for fertilization that considers these variables in nutrient requirement and supply is necessary. The objective of this study was parameterization of a fertilizer recommendation system for melon (Ferticalc-melon) based on nutritional balance. To estimate fertilizer recommendation, the system considers the requirement subsystem (REQ), which includes the demand for nutrients by the plant, and the supply subsystem (SUP), which corresponds to the supply of nutrients through the soil and irrigation water. After determining the REQtotal and SUPtotal, the system calculates the nutrient balances for N, P, K, Ca, Mg, and S, recommending fertilizer application if the balance is negative (SUP < REQ), but not if the balance is positive or zero (SUP ≥ REQ). Simulations were made for different melon types (Yellow, Cantaloupe, Galia and Piel-de-sapo), with expected yield of 45 t ha-1. The system estimated that Galia type was the least demanding in P, while Piel-de-sapo was the most demanding. Cantaloupe was the least demanding for N and Ca, while the Yellow type required less K, Mg, and S. As compared to other fertilizer recommendation methods adopted in Brazil, the Ferticalc system was more dynamic and flexible. Although the system has shown satisfactory results, it needs to be evaluated under field conditions to improve its recommendations.

Damage spreading transition in glasses: A probe for the ruggedness of the configurational landscape

We consider damage spreading transitions in the framework of mode-coupling theory. This theory describes relaxation processes in glasses in the mean-field approximation which are known to be characterized by the presence of an exponentially large number of metastable states. For systems evolving under identical but arbitrarily correlated noises, we demonstrate that there exists a critical temperature T0 which separates two different dynamical regimes depending on whether damage spreads or not in the asymptotic long-time limit. This transition exists for generic noise correlations such that the zero damage solution is stable at high temperatures, being minimal for maximal noise correlations. Although this dynamical transition depends on the type of noise correlations, we show that the asymptotic damage has the good properties of a dynamical order parameter, such as (i) independence of the initial damage; (ii) independence of the class of initial condition; and (iii) stability of the transition in the presence of asymmetric interactions which violate detailed balance. For maximally correlated noises we suggest that damage spreading occurs due to the presence of a divergent number of saddle points (as well as metastable states) in the thermodynamic limit consequence of the ruggedness of the free-energy landscape which characterizes the glassy state. These results are then compared to extensive numerical simulations of a mean-field glass model (the Bernasconi model) with Monte Carlo heat-bath dynamics. The freedom of choosing arbitrary noise correlations for Langevin dynamics makes damage spreading an interesting tool to probe the ruggedness of the configurational landscape.

An AdS/QCD model from tachyon condensation: II

A simple holographic model is presented and analyzed that describes chiral symmetry breaking and the physics of the meson sector in QCD. This is a bottom-up model that incorporates string theory ingredients like tachyon condensation which is expected to be the main manifestation of chiral symmetry breaking in the holographic context. As a model for glue the Kuperstein-Sonnenschein background is used. The structure of the flavor vacuum is analyzed in the quenched approximation. Chiral symmetry breaking is shown at zero temperature. Above the deconfinement transition chiral symmetry is restored. A complete holographic renormalization is performed and the chiral condensate is calculated for different quark masses both at zero and non-zero temperatures. The 0++, 0¿+, 1++, 1¿¿ meson trajectories are analyzed and their masses and decay constants are computed. The asymptotic trajectories are linear. The model has one phenomenological parameter beyond those of QCD that affects the 1++, 0¿+ sectors. Fitting this parameter we obtain very good agreement with data. The model improves in several ways the popular hard-wall and soft wall bottom-up models.

Random mixtures with orientational order, and the anisotropic resistivity tensor of high Tc superconductors

By generalizing effective-medium theory to the case of orientationally ordered but positionally disordered two component mixtures, it is shown that the anisotropic dielectric tensor of oxide superconductors can be extracted from microwave measurements on oriented crystallites of YBa2Cu3O7¿x embedded in epoxy. Surprisingly, this technique appears to be the only one which can access the resistivity perpendicular to the copper¿oxide planes in crystallites that are too small for depositing electrodes. This possibility arises in part because the real part of the dielectric constant of oxide superconductors has a large magnitude. The validity of the effective-medium approach for orientationally ordered mixtures is corroborated by simulations on two¿dimensional anisotropic random resistor networks. Analysis of the experimental data suggests that the zero-temperature limit of the finite frequency resistivity does not vanish along the c axis, a result which would simply the existence of states at the Fermi surface, even in the superconducting state