Imperfect Imitation Can Enhance Cooperation

The promotion of cooperation on spatial lattices is an important issue in evolutionary game theory. This effect clearly depends on the update rule: it diminishes with stochastic imitative rules whereas it increases with unconditional imitation. To study the transition between both regimes, we propose a new evolutionary rule, which stochastically combines unconditional imitation with another imitative rule. We find that, surprinsingly, in many social dilemmas this rule yields higher cooperative levels than any of the two original ones. This nontrivial effect occurs because the basic rules induce a separation of timescales in the microscopic processes at cluster interfaces. The result is robust in the space of 2x2 symmetric games, on regular lattices and on scale-free networks.Comment: 4 pages, 4 figure

Catastrophic regime shifts in model ecological communities are true phase transitions

Ecosystems often undergo abrupt regime shifts in response to gradual external changes. These shifts are theoretically understood as a regime switch between alternative stable states of the ecosystem dynamical response to smooth changes in external conditions. Usual models introduce nonlinearities in the macroscopic dynamics of the ecosystem that lead to different stable attractors among which the shift takes place. Here we propose an alternative explanation of catastrophic regime shifts based on a recent model that pictures ecological communities as systems in continuous fluctuation, according to certain transition probabilities, between different micro-states in the phase space of viable communities. We introduce a spontaneous extinction rate that accounts for gradual changes in external conditions, and upon variations on this control parameter the system undergoes a regime shift with similar features to those previously reported. Under our microscopic viewpoint we recover the main results obtained in previous theoretical and empirical work (anomalous variance, hysteresis cycles, trophic cascades). The model predicts a gradual loss of species in trophic levels from bottom to top near the transition. But more importantly, the spectral analysis of the transition probability matrix allows us to rigorously establish that we are observing the fingerprints, in a finite size system, of a true phase transition driven by background extinctions.Comment: 19 pages, 11 figures, revised versio

Cluster density functional theory for lattice models based on the theory of Mobius functions

Rosenfeld's fundamental measure theory for lattice models is given a rigorous formulation in terms of the theory of Mobius functions of partially ordered sets. The free-energy density functional is expressed as an expansion in a finite set of lattice clusters. This set is endowed a partial order, so that the coefficients of the cluster expansion are connected to its Mobius function. Because of this, it is rigorously proven that a unique such expansion exists for any lattice model. The low-density analysis of the free-energy functional motivates a redefinition of the basic clusters (zero-dimensional cavities) which guarantees a correct zero-density limit of the pair and triplet direct correlation functions. This new definition extends Rosenfeld's theory to lattice model with any kind of short-range interaction (repulsive or attractive, hard or soft, one- or multi-component...). Finally, a proof is given that these functionals have a consistent dimensional reduction, i.e. the functional for dimension d' can be obtained from that for dimension d (d'<d) if the latter is evaluated at a density profile confined to a d'-dimensional subset.Comment: 21 pages, 2 figures, uses iopart.cls, as well as diagrams.sty (included

Fluid-fluid phase separation in hard spheres with a bimodal size distribution

The effect of polydispersity on the phase behaviour of hard spheres is examined using a moment projection method. It is found that the Boublik-Mansoori-Carnahan-Starling-Leland equation of state shows a spinodal instability for a bimodal distribution if the large spheres are sufficiently polydisperse, and if there is sufficient disparity in mean size between the small and large spheres. The spinodal instability direction points to the appearance of a very dense phase of large spheres.Comment: 7 pages, 3 figures, moderately REVISED following referees' comments (original was 4 pages, 3 postscript figures

Proterozoic amphibolites from Central Sector of Ossa Morena Zone: geochemistry and geodynamics implications

[Resumen] Las anfibolitas objeto de este estudio aparecen en la Sucesión Montemolín, correspondiente al Proterozoico Superior del sector central de la Ossa-Morena. Esta Sucesión está constituida por una alternancia de esquistos y cuarzo-esquistos biotíticos con pasadas anfibolíticas que se hacen más abundantes hacia el techo. En conjunto, presenta un metamorfismo regional progresivo que varía desde el grado bajo-muy bajo hasta muy alto en el núcleo migmático de Monesterio y está caracterizado por gradientes de altas temperaturas y bajas presiones. Petrográficamente las anfibolitas se pueden dividir en varios grupos, tanto desde el punto de vista textural como desde el mineralógico, variando desde anfibolitas con actinolita-clorita a anfibolitas con hornblenda marrón y piroxeno, desapareciendo progresivamente los rasgos texturales de rocas ígneas. Desde el punto de vista de su geoquímica presentan una afinidad oceánica, la mayoría de ellas similares a basaltos de tipo MORB, que se asemejaría a los N-MORE según la distribución de tierras raras. Estas anfibolitas podrían corresponder a toleítas de arco de islas. Se presentan datos de otras anfibolitas de zonas próximas a fin de comparar tanto su quimismo como su posible ambiente geodinámico.[Abstract] The amphibolites studied herein crop out in the Montemolín Series from Upper Proterozoic of the Ossa-Morena. This succesion is made of alternating biotitic schists and quartz-schists with interbedded amphibolites more common toward the top. The ensemble shows a regional, progressive metamorphism which varies from very low -low-grade up to high-grade conditions at the Monesterio migmatic core and is characterized by high - T and Low- P gradients. From a petrographic point of view amphibolites may be divided into sorne groups on the basis of both textural or mineralogical criteria. Actinolite-chloriteamphibolites are observed to grade into brown hornblende and pyroxenebearing amphibolites, the primary textural features of protoliths progressively disappearing. Geochemical affinities of these rocks are oceanic, most of the MORB basalts being similar to N-MORB-types on the basis ofREE distributions. They could be ascribed to island-arc tholeiites. Geochemical data from other amphibolites at neighbouring areas are also presented with the aim of comparing their compositions as well as their geodynamic setting

Bardeen-Petterson effect and the disk structure of the Seyfert galaxy NGC 1068

VLBA high spatial resolution observations of the disk structure of the active galactic nucleus NGC 1068 has recently revealed that the kinematics and geometry of this AGN is well characterized by an outer disk of H2O maser emission having a compact milliarcsecond (parsec) scale structure, which is encircling a thin rotating inner disk surrounding a ~10^7 M_\sun compact mass, likely a black hole. A curious feature in this source is the occurrence of a misalignment between the inner and outer parts of the disk, with the galaxy's radio jet being orthogonal to the inner disk. We interpret this peculiar configuration as due to the Bardeen-Petterson effect, a general relativistic effect that warps an initially inclined (to the black hole equator) viscous disk, and drives the angular momentum vector of its inner part into alignment with the rotating black hole spin. We estimate the time-scale for both angular momenta to get aligned as a function the spin parameter of the Kerr black hole. We also reproduce the shape of the parsec and kiloparsec scale jets, assuming a model in which the jet is precessing with a period and aperture angle that decrease exponentially with time, as expected from the Bardeen-Petterson effect.Comment: 12 pages, 3 figures, accepted for publication in The Astrophysical Journa

Non-scattering Metasurface-bound Cavities for Field Localization, Enhancement, and Suppression

We propose and analyse metasurface-bound invisible (non-scattering) partially open cavities where the inside field distribution can be engineered. It is demonstrated both theoretically and experimentally that the cavities exhibit unidirectional invisibility at the operating frequency with enhanced or suppressed field at different positions inside the cavity volume. Several examples of applications of the designed cavities are proposed and analyzed, in particular, cloaking sensors and obstacles, enhancement of emission, and "invisible waveguides". The non-scattering mode excited in the proposed cavity is driven by the incident wave and resembles an ideal bound state in the continuum of electromagnetic frequency spectrum. In contrast to known bound states in the continuum, the mode can stay localized in the cavity infinitely long, provided that the incident wave illuminates the cavity

Addressing unresolved tensions to build effective partnerships: Lessons from an Aboriginal cancer support network

Background: Cancer is the second leading cause of death among Aboriginal and Torres Strait Islander people and their survival once diagnosed with cancer is lower compared to that of other Australians. This highlights the need to improve cancer-related health services for Indigenous Australians although how to achieve this remains unclear. Cancer support groups provide emotional and practical support, foster a sense of community and belonging and can improve health outcomes. However, despite evidence on their positive effects on people affected by cancer, there is scarce information on the function and effectiveness of Indigenous-specific cancer peer-support programs in Australia. Using qualitative data from an evaluation study, this paper explores different understandings of how a cancer support group should operate and the impact of unresolved tensions following the establishment of an Indigenous women cancer peer-support network in a regional town in Western Australia. Methods: Data were collected through semi-structured interviews with 24 participants purposively selected among Indigenous and mainstream healthcare service providers, and group members and clients. Interviews were audiotaped and transcribed verbatim. Transcripts were subjected to inductive thematic analysis. NVivo was used to manage the data and assist in the data analysis. Rigour was enhanced through team member checking, coding validation and peer debriefing. Results: Flexibility and a resistance to formal structuring were at the core of how the group operated. It was acknowledged that the network partly owned its success to its fluid approach; however, most mainstream healthcare service providers believed that a more structured approach was needed for the group to be sustainable. This was seen as acting in opposition to the flexible, organic approach considered necessary to adequately respond to Indigenous women's needs. At the core of these tensions were opposing perspectives on the constructs of 'structure' and 'flexibility' between Indigenous and non-Indigenous participants. Conclusions: Despite the group's achievements, unresolved tensions between opposing perspectives on how a support group should operate negatively impacted on the working relationship between the group and mainstream service providers, and posed a threat to the Network's sustainability. Our results support the need to acknowledge and address different perspectives and world views in order to build strong, effective partnerships between service providers and Indigenous communities