Constraint propagation in the family of ADM systems

The current important issue in numerical relativity is to determine which formulation of the Einstein equations provides us with stable and accurate simulations. Based on our previous work on "asymptotically constrained" systems, we here present constraint propagation equations and their eigenvalues for the Arnowitt-Deser-Misner (ADM) evolution equations with additional constraint terms (adjusted terms) on the right hand side. We conjecture that the system is robust against violation of constraints if the amplification factors (eigenvalues of Fourier-component of the constraint propagation equations) are negative or pure-imaginary. We show such a system can be obtained by choosing multipliers of adjusted terms. Our discussion covers Detweiler's proposal (1987) and Frittelli's analysis (1997), and we also mention the so-called conformal-traceless ADM systems.Comment: 11 pages, RevTeX, 2 eps figure

Extending the lifetime of 3D black hole computations with a new hyperbolic system of evolution equations

We present a new many-parameter family of hyperbolic representations of Einstein's equations, which we obtain by a straightforward generalization of previously known systems. We solve the resulting evolution equations numerically for a Schwarzschild black hole in three spatial dimensions, and find that the stability of the simulation is strongly dependent on the form of the equations (i.e. the choice of parameters of the hyperbolic system), independent of the numerics. For an appropriate range of parameters we can evolve a single 3D black hole to $t \simeq 600 M$ -- $1300 M$, and are apparently limited by constraint-violating solutions of the evolution equations. We expect that our method should result in comparable times for evolutions of a binary black hole system.Comment: 11 pages, 2 figures, submitted to PR

Size Doesn't Matter: Towards a More Inclusive Philosophy of Biology

notes: As the primary author, O’Malley drafted the paper, and gathered and analysed data (scientific papers and talks). Conceptual analysis was conducted by both authors.publication-status: Publishedtypes: ArticlePhilosophers of biology, along with everyone else, generally perceive life to fall into two broad categories, the microbes and macrobes, and then pay most of their attention to the latter. ‘Macrobe’ is the word we propose for larger life forms, and we use it as part of an argument for microbial equality. We suggest that taking more notice of microbes – the dominant life form on the planet, both now and throughout evolutionary history – will transform some of the philosophy of biology’s standard ideas on ontology, evolution, taxonomy and biodiversity. We set out a number of recent developments in microbiology – including biofilm formation, chemotaxis, quorum sensing and gene transfer – that highlight microbial capacities for cooperation and communication and break down conventional thinking that microbes are solely or primarily single-celled organisms. These insights also bring new perspectives to the levels of selection debate, as well as to discussions of the evolution and nature of multicellularity, and to neo-Darwinian understandings of evolutionary mechanisms. We show how these revisions lead to further complications for microbial classification and the philosophies of systematics and biodiversity. Incorporating microbial insights into the philosophy of biology will challenge many of its assumptions, but also give greater scope and depth to its investigations

Influência do hábitat na estrutura da comunidade de macroinvertebrados aquáticos associados às raízes de Eichhornia crassipes na região do Lago Catalão, Amazonas, Brasil Influence of habitat on community structure of macroinvertebrate associated with roots of Eichhornia crassipes in the Lake Catalão, Amazonas, Brazil

Por possuírem ciclos de vida curtos, os macroinvertebrados aquáticos podem responder rapidamente às modificações ambientais, alterando a estrutura das suas populações e comunidades. O objetivo deste estudo foi determinar se há relação entre a composição de macroinvertebrados aquáticos associados a bancos de Eichhornia crassipes o gradiente de condutividade elétrica da água e a biomassa das raízes destes bancos. No pico da cheia de 2005, 21 bancos de macrófitas aquáticas flutuantes dominados por E. crassipes foram amostrados no rio Negro (baixa condutividade < 30 µS cm-1), na confluência entre os rios Negro e Solimões (média condutividade > 30 µS cm-1 e < 50 µS cm-1), e no rio Solimões (alta condutividade > 50 µS cm-1). Foram encontrados 1707 macroinvertebrados aquáticos, distribuídos em 14 ordens e 35 famílias. A abundância de invertebrados aquáticos foi maior em bancos na confluência das águas. O aumento da biomassa das raízes de E. crassipes levou a um aumento da abundância e da riqueza de famílias de macroinvertebrados. A abundância dos coletores-catadores, coletores-filtradores e raspadores variou com o tipo de água, e apenas a abundância dos coletores-catadores e coletores-filtradores variou em função da biomassa das raízes. A riqueza de famílias dos raspadores variou em função do tipo de água. A organização da comunidade depende do gradiente de biomassa de raízes, indicando a importância da estrutura do hábitat para o estabelecimento dos macroinvertebrados.<br>Owing to their short life cycles aquatic macroinvertebrates may quickly respond to environmental modifications by changing the structure of their populations and communities. The aim of this study was to determine the relationship between the composition of aquatic macroinvertebrates associated with Eichhornia crassipes stands, the gradient of water conductivity and biomass of the roots of these stands. At the peak of the floods of 2005, 21 banks of floating aquatic macrophytes dominated by E. crassipes were sampled in the Solimões River (high conductivity > 50 µS cm-1), the confluence of these the rivers Solimões and Negro (medium conductivity > 30 µS cm-1 and < 50 µS cm-1) and Negro River (low conductivity < 30 µS cm-1). A total of 1707 aquatic macroinvertebrates were found, divided into 14 orders and 35 families. The abundance of aquatic invertebrates was higher in stands in the rivers confluence. The increased biomass of roots of E. crassipes led to an increase of abundance and richness of families of macroinvertebrates. The abundance of collector-gatherers, filter feeders and collector-scrapers varied with the type of water; only the abundance of collector-gatherers and collector-filter-varied with the root biomass. The abundance of collector-gatherers, filter feeders and collector-scrapers varied with the type of water, and only the richness of collectors and filter feeders varied with the root biomass. The family richness of collector-scrapers varied with the type of water. The organization of the community depends on the gradient of root biomass, showing that habitat structure is an important factor for the establishment of macroinvertebrates