Renormalization methods in KAM theory

It is well known that an integrable (in the sense of Arnold-Jost) Hamiltonian system gives rise to quasi-periodic motion with trajectories running on invariant tori. These tori foliate the whole phase space. If we perturb an integrable system, the Kolmogorow-Arnold-Moser (KAM) theorem states that, provided some non-degeneracy condition and that the perturbation is sufficiently small, most of the invariant tori carrying quasi-periodic motion persist, getting only slightly deformed. The measure of the persisting invariant tori is large together with the inverse of the size of the perturbation. In the first part of the thesis we shall use a Renormalization Group (RG) scheme in order to prove the classical KAM result in the case of a non analytic perturbation (the latter will only be assumed to have continuous derivatives up to a sufficiently large order). We shall proceed by solving a sequence of problems in which theperturbations are analytic approximations of the original one. We will finally show that the approximate solutions will converge to a differentiable solution of our original problem. In the second part we will use an RG scheme using continuous scales, so that instead of solving an iterative equation as in the classical RG KAM, we will end up solving a partial differential equation. This will allow us to reduce the complications of treating a sequence of iterative equations to the use of the Banach fixed point theorem in a suitable Banach space.

Expected Performance of the ATLAS Experiment - Detector, Trigger and Physics

A detailed study is presented of the expected performance of the ATLAS detector. The reconstruction of tracks, leptons, photons, missing energy and jets is investigated, together with the performance of b-tagging and the trigger. The physics potential for a variety of interesting physics processes, within the Standard Model and beyond, is examined. The study comprises a series of notes based on simulations of the detector and physics processes, with particular emphasis given to the data expected from the first years of operation of the LHC at CERN.

Novel correlations in two dimensions: Some exact solutions

We construct a new many-body Hamiltonian with two- and three-body interactions in two space dimensions and obtain its exact many-body ground state for an arbitrary number of particles. This ground state has a novel pairwise correlation. A class of exact solutions for the excited states is also found. These excited states display an energy spectrum similar to the Calogero-Sutherland model in one dimension. The model reduces to an analog of the well-known trigonometric Sutherland model when projected on to a circular ring.

Thomas-Fermi Method For Particles Obeying Generalized Exclusion Statistics

We use the Thomas-Fermi method to examine the thermodynamics of particles obeying Haldane exclusion statistics. Specifically, we study Calogero-Sutherland particles placed in a given external potential in one dimension. For the case of a simple harmonic potential (constant density of states), we obtain the exact one-particle spatial density and a {\it closed} form for the equation of state at finite temperature, which are both new results. We then solve the problem of particles in a $x^{2/3} ~$ potential (linear density of states) and show that Bose-Einstein condensation does not occur for any statistics other than bosons.

Inventario agroecológico de las especies de Gallina ciega (Phyllophaga spp) en la Región I de Nicaragua y validación de trampas artesanales de luz para el control de adultos en dos localidades del municipio de Estelí, Nicaragua

De mayo a octubre de 1996 se hizo un inventario agroecológico de las especies de gallina ciega (Phyllophaga spp.) en la región T de Nicaragua con el objetivo de determinar la relación entre la diversidad de especies de gallina ciega con precipitación, tamaño y años de uso de la parcela y historial de daño(%) y validación de trampas luz artesanal para control de adultos de gallina ciega en Miraflor y Almaciguera, con el fin de confirmar su efectividad. Se muestrearon 61 localidades en 18 municipios, agrupados por rangos de precipitación en cuatro estratos. La unidad muestra! fué el número de insectos adultos de gallina ciega recolectados por los mismos agricultores en cada finca. Para la identificación se utilizaron las claves desarrolladas por King (1984); Morón (198S); Woodruffy Beck (1989) y Coto (1990). Se realizó un diagoóstico sobre conocimiento de la plaga y el manejo al cultivo por medio de encuestas. Se hizo análisis de correlación simple. La mayor parte de la encuesta fue analizada en términos de porcentajes. Se utilizó la metodología de captura y recaptura de insectos marcados con esmalte para uñas y escarchas de colores diferentes. Los insectos fueron hllerados desde S hasta 21m de distancia de la trampa marcándose grupos de cinco hasta SO insectos. Se consideró un factor correctivo de comparación entre distancias y analisis de frecuencia de recaptura con observaciones cada 15 minutos. Se realizó muestreo de larvas posterior a los ensayos de liberación. La población de gallina ciega en la región T es diviersa. Se reportan 17 especies de los cuales sólo 9 se identificaron: Phyllophaga (Chlaenobia) aequata (Bates), 1888; P. (Phytalus) cometes Bates, 1888; P. (Rorulenta) elenon.' Saylor, 1938; P. (P) lenis Horn, 1887; P.(P) menetriesi Blanchard, 1850; P. (P) obsoleta (Biancbard), 1850; P. (Chlaenobia) tumulosa (Bates), 1888; P. (Rorulenta) vicina Moser, 1918 y P. yucateca (Bates), 1889. Las especies no identificadas fueron distinguidas por números. Las especies 1, 3, 4, 5, 6, 7, 8 y 9 no se identificaron. P. Lenis, P. yucateca, P, vicina, P.elenon.f, P. menetriesi y P. obsoleta son las especies que, en este orden, sobresalen numéricamente. Las cantidades de especímenes por especies de gallina ciega no presentan relación con rangos de precipitación, historial de daño (%), tamaño y años de uso de la aparcela, ni entre ellas mismas. El 60"/o de los agricultores no conoce al adulto de gallina ciega y el 80% no logra diferenciar claramente los sintomas en una planta dañada. No se registraron recapturas de insectos adultos de gallina ciega en las trampas. El análisis cuantitativo no se realizó. La mayor parte de los insectos liberados establecieron vuelo. Muestreos de larvas de gallina ciega indican que sólo en Miraflor habían cantidades de adultos justificables a los ensayos. El promedio de plantas dañadas por gallina ciega según los agricultores es de 15%. Se recomienda impulsar estudios básicos sobre la diversidad de especies de gallina ciega en el país y difundir el conocimiento sobre la biología y manejo de gallina ciega entre los pequeños agricultores. Futuros ensayos con trampas luz deben considerar el aumento de la calidad y la consistencia de la fuente luminosa y establecerlas cerca de las plantas hospederas de adultos.

Anima, mente, corpo e inmortalità : la sfida del naturalismo

Resumen: Il saggio esamina il rapporto anima, mente, corpo alla luce delle sfide del nuovo naturalismo che molto spesso incorpora un secco riduzionismo ed un’opzione materialistica. Questa risulta un apriori, non l’esito di un argomento: J. Searle la chiama “la religione del nostro tempo”. Vengono poi esaminati l’attuale oblio dell’anima, la riduzione del suo tema al mind-body problem, la qualità della tesi ilemorfica, illustrata in specie attraverso le soluzioni dell’Aquinate, l’equivoco del dualismo cartesiano. Chiude il saggio uno sguardo sulla questione dell’immortalità dell’anima.

Prevalence, intensity, longevity, and persistence of Anisakis sp. larvae and Lacistorhynchus tenuis metacestodes in San Francisco striped bass

Thirteen hundred and seventy-three striped bass, Marone saxatilis, were collected from the San Francisco Bay-Delta area to correlate host diet with parasitic infections and to determine the prevalence, intensity, longevity, and persistence of larval Anisakis sp. nematodes and the metacestode Lacistorhynchus tenuis. There is an increase in the prevalence and intensity of Anisakis sp. and in the intensity of L. tenuis with increase of age of the host. These increases are probably related to the diet and the persistence of tbe parasites. The infections of both species are overdispersed. San Francisco Bay striped bass are an incompatible host for both species of parasites. Degenerated Anisakis sp. will remain in lhe host for at least 8 months and L. tenuis metacestodes for 22 months. The occurrence of several other species of parasites and a tumor are also reported. (PDF file contains 10 pages.)

Good Morning, America! The explosive U.S. awakening to the need for adaptation

Since the early years of the 21st century, and in particular since 2007, the U.S. has been awakening rapidly to the fact that climate change is underway and that even if stringent efforts are undertaken to mitigate greenhouse gas emissions, adaptation to the unavoidable impacts from the existing commitment to climate change is still needed and needs to be begun now. This report provides an historical overview of the public, political, and scientific concern with adaptation in the United States. It begins by briefly distinguishing ongoing, historical adaptation to environmental circumstances from deliberate adaptation to human‐induced climate change. It then describes the shift from the early concerns with climate change and adaptation to the more recent awakening to the need for a comprehensive approach to managing the risks from climate change. Ranging from the treatment of the topic in the news media to the drafting of bills in Congress, to state and local government activities with considerable engagement of NGOs, scientists and consultants, it is apparent that adaptation has finally, and explosively, emerged on the political agenda as a legitimate and needed subject for debate. At the same time, the current policy rush is not underlain by widespread public engagement and mobilization nor does it rest on a solid research foundation. Funding for vulnerability and adaptation research, establishing adequate decision support institutions, as well as the building of the necessary capacity in science, the consulting world, and in government agencies, lags far behind the need. (PDF contains 42 pages)

Topology of toroidal helical fields in non-circular cross-sectional tokamaks

The ordinary differential magnetic field line equations are solved numerically; the tokamak magnetic structure is studied on Hefei Tokamak-7 Upgrade (HT-7U) when the equilibrium field with a monotonic q-profile is perturbed by a helical magnetic field. We find that a single mode (m, n) helical perturbation can cause the formation of islands on rational surfaces with q = m/n and q = (m +/- 1, +/- 2, +/- 3,...)/n due to the toroidicity and plasma shape (i.e. elongation and triangularity), while there are many undestroyed magnetic surfaces called Kolmogorov-Arnold-Moser (KAM) barriers on irrational surfaces. The islands on the same rational surface do not have the same size. When the ratio between the perturbing magnetic field B-r(r) and the toroidal magnetic field amplitude B(phi)0 is large enough, the magnetic island chains on different rational surfaces will overlap and chaotic orbits appear in the overlapping area, and the magnetic field becomes stochastic. It is remarkable that the stochastic layer appears first in the plasma edge region.

Using climate extension to assist coastal decision-makers with climate adaptation

Coastal managers need accessible, trusted, tailored resources to help them interpret climate information, identify vulnerabilities, and apply climate information to decisions about adaptation on regional and local levels. For decades, climate scientists have studied the impacts that short term natural climate variability and long term climate change will have on coastal systems. For example, recent estimates based on Intergovernmental Panel on Climate Change (IPCC) warming scenarios suggest that global sea levels may rise 0.5 to 1.4 meters above 1990 levels by 2100 (Rahmstorf 2007; Grinsted, Moore, and Jevrejeva 2009). Many low-lying coastal ecosystems and communities will experience more frequent salt water intrusion events, more frequent coastal flooding, and accelerated erosion rates before they experience significant inundation. These changes will affect the ways coastal managers make decisions, such as timing surface and groundwater withdrawals, replacing infrastructure, and planning for changing land use on local and regional levels. Despite the advantages, managers’ use of scientific information about climate variability and change remains limited in environmental decision-making (Dow and Carbone 2007). Traditional methods scientists use to disseminate climate information, like peer-reviewed journal articles and presentations at conferences, are inappropriate to fill decision-makers’ needs for applying accessible, relevant climate information to decision-making. General guides that help managers scope out vulnerabilities and risks are becoming more common; for example, Snover et al. (2007) outlines a basic process for local and state governments to assess climate change vulnerability and preparedness. However, there are few tools available to support more specific decision-making needs. A recent survey of coastal managers in California suggests that boundary institutions can help to fill the gaps between climate science and coastal decision-making community (Tribbia and Moser 2008). The National Sea Grant College Program, the National Oceanic and Atmospheric Administration's (NOAA) university-based program for supporting research and outreach on coastal resource use and conservation, is one such institution working to bridge these gaps through outreach. Over 80% of Sea Grant’s 32 programs are addressing climate issues, and over 60% of programs increased their climate outreach programming between 2006 and 2008 (National Sea Grant Office 2008). One way that Sea Grant is working to assist coastal decision-makers with using climate information is by developing effective methods for coastal climate extension. The purpose of this paper is to discuss climate extension methodologies on regional scales, using the Carolinas Coastal Climate Outreach Initiative (CCCOI) as an example of Sea Grant’s growing capacities for climate outreach and extension. (PDF contains 3 pages)

Distribuição espacial do pico e ultraplâncton na plataforma continental e talude entre Cabo Frio (RJ) e Ubatuba (SP) e sua relação com a hidrodinâmica local: inverno de 2010

O picoplâncton (0,2 - 2,0 m) e ultraplâncton (> 2,0 - 5,0 m) despertam interesse por utilizarem ativamente a matéria orgânica dissolvida, estabelecendo a alça microbiana. Responsáveis por 50-80% da produção primária em águas oligotróficas, essas frações apresentam elevadas eficiência luminosa e razão superfície/volume que as permitem alcançar alto desenvolvimento mesmo sob baixas luminosidade e disponibilidade de nutrientes. Buscando relacionar a distribuição espacial e composição da comunidade pico e ultraplanctônica aos controles bottom-up na plataforma continental e talude ao largo dos Estados do Rio de Janeiro e São Paulo (22S a 26S), foram coletadas amostras de água em 39 estações oceanográficas e utilizadas as imagens dos sensores MODIS Terra e Aqua, bem como dados de hidrografia, para a descrição dos fenômenos oceanográficos de mesoescala. A abundância total de ambas as frações de tamanho, assim como a dominância do picoplâncton, reduziu em função do distanciamento da costa. Os organismos autotróficos foram em média (102 cél.mL-1 a 104 cél.mL-1 ) majoritariamente uma ordem de grandeza inferiores aos heterotróficos (103 cél.mL-1 a 105 cél.mL-1). A Água Central do Atlântico Sul (ACAS) e as plumas das baías de Guanabara e Sepetiba (RJ) permaneceram na plataforma interna favorecendo o aumento na concentração dos macronutrientes e refletindo na mudança da estrutura da comunidade através do aumento da contribuição de autótrofos no centro da plataforma, principalmente do ultraplâncton à superfície (cerca de 21%) e na profundidade do máximo de clorofila (44%). O transporte de águas costeiras carreadas por uma corrente de origem sul gerou o vórtice de plataforma identificado nas imagens de satélite para a região da plataforma interna de Ubatuba (SP), onde concentrações mais elevadas de amônio (0,28 M) e fosfato (9,64 M) a partir dos 50 m sustentaram maior densidade do ultra autótrofo (2,89 x 103 cél.mL-1) que superou a densidade de heterótrofos (2,50 x 103 cél.mL-1) no máximo de clorofila. Os resultados destacaram um forte gradiente nerítico-oceânico na distribuição dos organismos. Sugerem ainda a predominância do metabolismo heterotrófico na maior parte das águas oligotróficas da plataforma e talude entre o Rio de Janeiro e São Paulo, bem como a presença de caráter autotrófico naquelas regiões influenciadas por feições de mesoescala, como plumas estuarinas e vórtices de plataforma.

Distribuição do material particulado em suspensão na plataforma continental e talude superior entre Ubatuba (SP) e o cabo Búzios (RJ)

A pesquisa aqui apresentada amostrou a plataforma continental e talude superior entre Ubatuba (SP) e o cabo Búzios (RJ), em dois projetos de escala local e de meso-escala. A campanha entre Ubatuba e o cabo Frio foi realizada no âmbito do projeto Oceano-Rio: levantamentos oceanográficos integrados ao largo do Estado do Rio de Janeiro, realizado em colaboração com o Ministério de Ciência e Tecnologia (MCT) e com a cooperação da Marinha do Brasil (MB), a bordo do Navio Hidro-oceanográfico Cruzeiro do Sul. Dos dados coletados nesta campanha oceanográfica, foram analisados os dados de CTD, concentração de oxigênio dissolvido, fluorescência, transmissividade, atenuação, retro-espalhamento além de amostras de água para a determinação direta da concentração de material particulado em suspensão (MPS). No experimento de menor escala, entre o cabo Frio e o cabo Búzios, além destes dados, foi realizado um fundeio entre 02 e 30 de julho de 2011, que amostrou a intensidade do eco, as correntes e as ondas. As análises realizadas permitiram observar uma grande abrangência da massa dágua característica da Ressurgência sobre a plataforma continental entre Ubatuba (SP) e cabo Búzios (RJ), inclusive em regiões muito rasas. A ressurgência nem sempre ocorreu associada aos ventos NE, sugerindo que a ocorrência de vórtices tem grande influência sobre o Sistema de Ressurgência de Cabo Frio. O padrão de distribuição de MPS na região é muito influenciado pela ressuspensão dos sedimentos de fundo (aumentada durante as tempestades, quando a coluna dágua passa a apresentar maiores concentrações de MPS), produção fitoplanctônica e aporte das baías costeiras. Outros processos que parecem influenciar este padrão são os vórtices e as ondas internas no talude. A complexidade da interação destas diferentes fontes de MPS e processos associados à sua distribuição ficou evidenciada no processo de conversão dos sinais óticos do transmissômetro e nefelômetro em concentração de MPS. Apesar desta dificuldade associada à grande variabilidade das características do MPS, as análises dos testes de conversão do sinal ótico em concentração de MPS permitem concluir que as melhores conversões podem ser obtidas após a inspeção visual das concentrações de MPS medidos (filtração) e remoção das amostras que não seguem a tendência geral esperada de dispersão sinal ótico versus concentração de MPS.