Scaling of cosmological domain wall networks with junctions

We describe the results of the largest and most accurate three-dimensional field theory simulations of domain wall networks with junctions. We consider a previously introduced class of models which, in the limit of large number $N$ of coupled scalar fields, approaches the so-called `ideal' model (in terms of its potential to lead to network frustration). We consider values of $N$ between N=2 and N=20. In all cases we find compelling evidence for a gradual approach to scaling, with the quantitative scaling parameters having only a mild dependence on $N$. These results strongly support our no-frustration conjecture.Comment: 4 pages, 2 figure

Understanding Domain Wall Network Evolution

We study the cosmological evolution of domain wall networks in two and three spatial dimensions in the radiation and matter eras using a large number of high-resolution field theory simulations with a large dynamical range. We investigate the dependence of the uncertainty in key parameters characterising the evolution of the network on the size, dynamical range and number of spatial dimensions of the simulations and show that the analytic prediction compares well with the simulation results. We find that there is ample evidence from the simulations of a slow approach of domain wall networks towards a linear scaling solution. However, while at early times the uncertainty in the value of the scaling exponent is small enough for deviations from the scaling solution to be measured, at late times the error bars are much larger and no strong deviations from the scaling solution are found.Comment: 11 pages, 16 figure

The role of domain wall junctions in Carter's pentahedral model

The role of domain wall junctions in Carter's pentahedral model is investigated both analytically and numerically. We perform, for the first time, field theory simulations of such model with various initial conditions. We confirm that there are very specific realizations of Carter's model corresponding to square lattice configurations with X-type junctions which could be stable. However, we show that more realistic realizations, consistent with causality constraints, do lead to a scaling domain wall network with Y-type junctions. We determine the network properties and discuss the corresponding cosmological implications, in particular for dark energy.Comment: 6 pages, 6 figure

Death by starvation in May-Leonard models

We consider the dynamics of spatial stochastic May-Leonard models with mutual predation interactions of equal strength between any two individuals of different species. Using two-dimensional simulations, with two and three pecies, we investigate the dynamical impact of the death of individuals after a given threshold number of successive unsuccessful predation attempts. We find that the death of these individuals can have a strong impact on the dynamics of population networks and provide a crucial contribution to the preservation of coexistence.Comment: 7 pages, 9 figure

Accurate Calibration of the Velocity-dependent One-scale Model for Domain Walls

We study the asymptotic scaling properties of standard domain wall networks in several cosmological epochs. We carry out the largest field theory simulations achieved to date, with simulation boxes of size 20483, and confirm that a scale-invariant evolution of the network is indeed the attractor solution. The simulations are also used to obtain an accurate calibration for the velocity-dependent one-scale model for domain walls: we numerically determine the two free model parameters to have the values $c_w = 0.34\pm0.16$ and $k_w = 0.98\pm0.07$, which are higher precision than (but in agreement with) earlier estimates.Comment: 8 pages, version to appear in Phys. Lett. B. arXiv admin note: substantial text overlap with arXiv:1110.348

As Políticas de Proteção Tarifária e Estímulo Industrial Face à Inserção Internacional Brasileira: Uma Análise de Economia Política com Dados em Painel

O artigo explica as diferenças de políticas comerciais recebidas por 10 setores industriais de 1988 a 2005 a partir de teorias de economia política e de análise econométrica com dados em painel. Três conjuntos de variáveis independentes – coeficientes de comércio, intensidade no uso de fatores de produção e concentração industrial/ação coletiva – são usados para explicar as variáveis dependentes. Argumenta-se que as políticas comerciais direcionadas a interesses especiais mantiveram-se relativamente constantes no período, mas existem qualificações. Em face dos resultados empíricos, discutem-se às reformas comerciais e às estratégias de integração comercial brasileira nas décadas de 1990 e 2000. A seção final trata das contribuições e limitações do artigo e sugere novas linhas de pesquisa.Economia Política, Grupos de Interesse, Integração Comercial, Proteção Endógena

Spatial patterns and biodiversity in off-lattice simulations of a cyclic three-species Lotka-Volterra model

Stochastic simulations of cyclic three-species spatial predator-prey models are usually performed in square lattices with nearest neighbor interactions starting from random initial conditions. In this Letter we describe the results of off-lattice Lotka-Volterra stochastic simulations, showing that the emergence of spiral patterns does occur for sufficiently high values of the (conserved) total density of individuals. We also investigate the dynamics in our simulations, finding an empirical relation characterizing the dependence of the characteristic peak frequency and amplitude on the total density. Finally, we study the impact of the total density on the extinction probability, showing how a low population density may jeopardize biodiversity.Comment: 5 pages, 7 figures; new version, with new title and figure