Convergence to equilibrium for the discrete coagulation-fragmentation equations with detailed balance

Under the condition of detailed balance and some additional restrictions on the size of the coefficients, we identify the equilibrium distribution to which solutions of the discrete coagulation-fragmentation system of equations converge for large times, thus showing that there is a critical mass which marks a change in the behavior of the solutions. This was previously known only for particular cases as the generalized Becker-D\"oring equations. Our proof is based on an inequality between the entropy and the entropy production which also gives some information on the rate of convergence to equilibrium for solutions under the critical mass.Comment: 28 page

Anomalous diffusion in polymers: long-time behaviour

We study the Dirichlet boundary value problem for viscoelastic diffusion in polymers. We show that its weak solutions generate a dissipative semiflow. We construct the minimal trajectory attractor and the global attractor for this problem.Comment: 13 page

Visual assessment soil quality structure methodology applied to Oxisol under different soil use and management

O aumento da demanda pela avaliação da qualidade da estrutura do solo para o adequado crescimento de plantas tem motivado pesquisadores a desenvolverem técnicas visuais de avaliação, a campo, simples e confiáveis para esse fim. No Brasil, um número reduzido de estudos foi realizado empregando métodos visuais de diagnóstico do estado estrutural de solos no campo. Esse trabalho testou a hipótese de que o método de Avaliação Visual da Qualidade da Estrutura do Solo desenvolvido por BALL et al. (2007) para solos de clima temperado pode ser aplicado na identificação de campo da qualidade estrutural de um Latossolo Vermelho Distroférrico sob diferentes sistemas de uso e manejo. Para isso, foram avaliadas amostras indeformadas coletadas de mata preservada (M), sistema de integração lavoura-pecuária (ILP) e sistema plantio direto (SPD). A avaliação da estrutura apoiou-se na aparência, na resistência e nas características das unidades estruturais de blocos de solo e foi definida por cinco escores visuais de classificação de qualidade. O método empregado permitiu distinguir a qualidade do solo de diferentes sistemas de uso e manejo a partir da avaliação da estrutura da camada estudada.The increasing demand for assessing soil structure for crop growth has motivated researchers to develop simple and reliable visual indicators to assess soil structure at the field. There are a few records in Brazil indicating the use of visual techniques for assessing soil physical quality. This paper tested the hypothesis that the Visual Soil Structure Quality Assessment methodology developed by BALL et al. (2007) is reliable for identifying the structural quality of tropical and subtropical soils under different soil management systems. Therefore, the overall objective of this paper was to visually identify the structural quality of an Oxisol under forest, crop-livestock rotation and no-till system. The structure evaluation was based on appearance, strength and characteristics of structural units from soil blocks, and was defined by five visual scores from the classification quality. The method allows distinguishing soil quality of the different soil use and management systems from the evaluation of the layer sampled

Capuchin monkeys individuate objects based on spatio-temporal and property/kind information : evidence from looking and reaching measures

This paper is an output of the project ‘Rethinking Mind and Meaning: A case study from a co-disciplinary approach’ (Award Nr.: AH/ L015234/1), funded by the Arts and Humanities Research Council (AHRC), as part of the Science in Culture Theme (http://www.sciculture.ac.uk).A core component of any folk physical understanding of the world is object individuation - the cognitive ability to parse sensory input into discrete objects. Whereas younger human infants use spatio-temporal information to individuate objects, they do not use property and kind information until one year of age. Some researchers propose that object individuation based on property/kind information depends on language acquisition and sortal concepts. However, there is evidence that preverbal infants and nonhuman animals also use both types of information. The present study aimed to further explore the evolutionary origins of object individuation by testing a new-world monkey species, capuchin monkeys (Sapajus spp.), using both manual search (n = 29) and looking time (n = 23) measures. In Spatio-temporal trials, subjects saw one or two objects dropped into a box, but always found (or saw) only one. In Property/kind trials, subjects saw either object A or B being dropped into a box and then always found (or saw) object A. The capuchin monkeys looked longer and searched more on inconsistent trials – with outcome differing in quantity or in kind - which suggested that they had expectations based on both spatio-temporal and property-kind representations. Looking time and search measures gave convergent results at the group but not at the individual level. Our results add to the existing evidence contradicting the linguistic hypothesis of property/kind individuation. However, contrary to recent discussions, we argue that these and related results can be explained without appealing to the notion of sortal concepts or multiple representational systems, and suggest that a full picture of the ontogeny and phylogeny of object individuation requires further empirical and theoretical research.Publisher PDFPeer reviewe

The relevance of polarized bZ production at LHC

We consider the Z polarization asymmetry A_Z=(sigma(Z_R)-sigma(Z_L))/(sigma(Z_R)+sigma(Z_L)) in the process of associated bZ production at the LHC. We show that in the Standard Model (SM) this quantity is essentially given by its Born approximation, remaining almost unaffected by QCD scales and parton distribution functions variations as well as by electroweak corrections. The theoretical quantity that appears in A_Z is the same that provides the LEP1 Z -> b bbar forward-backward asymmetry, the only measured observable still in some contradiction with the SM prediction. In this sense, A_Z would provide the possibility of an independent verification of the possible SM discrepancy, which could reach, if consistency with LEP1 measurements is imposed, values of the relative ten percent size.Comment: 10 pages, 5 eps figure

Avaliação visual da qualidade da estrutura do solo em Latossolos sob sistema plantio direto

Methods for evaluation the soil structure quality based on field evaluations are useful to determine strategies for soil management, with the advantage of requirement the use of little equipment and the possibility of immediate interpretation. A new methodology was recently developed to temperate soils for this purpose, called Visual Soil Structure Assessment (Ball et al., 2007). It was tested the hypothesis that it is possible to apply and advance in the interpretation of the results from use of Visual Soils Structure Assessment in cultivated Oxisols. Therefore the goal of this study was to apply, evaluate and enhance the potential of the methodology developed by Ball et al. (2007) in two Oxisols under long-term, no-till in Parana State, Brazil, as well as in a soil under native forest, used as reference of soil structural quality. The proposed implementation and progress in terms of structural quality for the distinct layers provided an assessment of soil physical quality more practical and detailed. This is useful to support the selection of appropriate techniques for mechanical and biological management systems in order to achieve the physical quality of soil suitable for crop development. Visual scores of soil structure quality proposed by Ball et al. (2007) can be applied to Brazilian Oxisols cultivated under no-tillage system.Métodos para avaliação da qualidade da estrutura do solo baseados em avaliações de campo são úteis para estabelecer estratégias de manejo do solo, com a vantagem de exigirem a utilização de poucos equipamentos e a possibilidade de interpretações imediatas. Recentemente foi desenvolvido um novo método com este objetivo para solos de clima temperado, denominado Avaliação Visual da Estrutura do Solo (Ball et al., 2007). Testou-se a hipótese que é possível aplicar e avançar na interpretação dos resultados obtidos por meio da Avaliação Visual da Estrutura do Solo em Latossolos cultivados. Para tanto avaliou-se o potencial de utilização da metodologia desenvolvida por Ball et al. (2007) em dois Latossolos sob plantio direto de longa duração no Estado do Paraná, Brasil, bem como em um solo sob floresta nativa, utilizado como referência de qualidade estrutural do solo. A hipótese foi confirmada, uma vez que a aplicação e o avanço proposto, em termos de qualidade estrutural para as diferentes camadas do solo permitiram uma avaliação da qualidade física mais prática e detalhada, além de útil como suporte para selecionar técnicas apropriadas de manejo mecânico e biológico com o intuito de alcançar a qualidade física do solo adequada para o desenvolvimento das culturas. Os escores visuais de qualidade da estrutura do solo propostos por Ball et al. (2007) podem ser aplicados a Latossolos brasileiros cultivados sob sistema plantio direto

Visual soil structure quality assessment on Oxisols under no-tillage system

Métodos para avaliação da qualidade da estrutura do solo baseados em avaliações de campo são úteis para estabelecer estratégias de manejo do solo, com a vantagem de exigirem a utilização de poucos equipamentos e a possibilidade de interpretações imediatas. Recentemente foi desenvolvido um novo método com este objetivo para solos de clima temperado, denominado Avaliação Visual da Estrutura do Solo (Ball et al., 2007). Testou-se a hipótese que é possível aplicar e avançar na interpretação dos resultados obtidos por meio da Avaliação Visual da Estrutura do Solo em Latossolos cultivados. Para tanto avaliou-se o potencial de utilização da metodologia desenvolvida por Ball et al. (2007) em dois Latossolos sob plantio direto de longa duração no Estado do Paraná, Brasil, bem como em um solo sob floresta nativa, utilizado como referência de qualidade estrutural do solo. A hipótese foi confirmada, uma vez que a aplicação e o avanço proposto, em termos de qualidade estrutural para as diferentes camadas do solo permitiram uma avaliação da qualidade física mais prática e detalhada, além de útil como suporte para selecionar técnicas apropriadas de manejo mecânico e biológico com o intuito de alcançar a qualidade física do solo adequada para o desenvolvimento das culturas. Os escores visuais de qualidade da estrutura do solo propostos por Ball et al. (2007) podem ser aplicados a Latossolos brasileiros cultivados sob sistema plantio direto.Methods for evaluation the soil structure quality based on field evaluations are useful to determine strategies for soil management, with the advantage of requirement the use of little equipment and the possibility of immediate interpretation. A new methodology was recently developed to temperate soils for this purpose, called Visual Soil Structure Assessment (Ball et al., 2007). It was tested the hypothesis that it is possible to apply and advance in the interpretation of the results from use of Visual Soils Structure Assessment in cultivated Oxisols. Therefore the goal of this study was to apply, evaluate and enhance the potential of the methodology developed by Ball et al. (2007) in two Oxisols under long-term, no-till in Parana State, Brazil, as well as in a soil under native forest, used as reference of soil structural quality. The proposed implementation and progress in terms of structural quality for the distinct layers provided an assessment of soil physical quality more practical and detailed. This is useful to support the selection of appropriate techniques for mechanical and biological management systems in order to achieve the physical quality of soil suitable for crop development. Visual scores of soil structure quality proposed by Ball et al. (2007) can be applied to Brazilian Oxisols cultivated under no-tillage system

Identifying financial crises in real time

Following the thermodynamic formulation of multifractal measure that was shown to be capable of detecting large fluctuations at an early stage, here we propose a new index which permits us to distinguish events like financial crisis in real time . We calculate the partition function from where we obtain thermodynamic quantities analogous to free energy and specific heat. The index is defined as the normalized energy variation and it can be used to study the behavior of stochastic time series, such as financial market daily data. Famous financial market crashes - Black Thursday (1929), Black Monday (1987) and Subprime crisis (2008) - are identified with clear and robust results. The method is also applied to the market fluctuations of 2011. From these results it appears as if the apparent crisis of 2011 is of a different nature from the other three. We also show that the analysis has forecasting capabilities.Comment: 8 pages, 6 figure