181 research outputs found

    The Dirichlet Casimir effect for ϕ4\phi^4 theory in (3+1) dimensions: A new renormalization approach

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    We calculate the next to the leading order Casimir effect for a real scalar field, within ϕ4\phi^4 theory, confined between two parallel plates in three spatial dimensions with the Dirichlet boundary condition. In this paper we introduce a systematic perturbation expansion in which the counterterms automatically turn out to be consistent with the boundary conditions. This will inevitably lead to nontrivial position dependence for physical quantities, as a manifestation of the breaking of the translational invariance. This is in contrast to the usual usage of the counterterms in problems with nontrivial boundary conditions, which are either completely derived from the free cases or at most supplemented with the addition of counterterms only at the boundaries. Our results for the massive and massless cases are different from those reported elsewhere. Secondly, and probably less importantly, we use a supplementary renormalization procedure, which makes the usage of any analytic continuation techniques unnecessary.Comment: JHEP3 format,20 pages, 2 figures, to appear in JHE

    Mapping coral calcification strategies from in situ boron isotope and trace element measurements of the tropical coral Siderastrea siderea

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    Boron isotopic and elemental analysis of coral aragonite can give important insights into the calcification strategies employed in coral skeletal construction. Traditional methods of analysis have limited spatial (and thus temporal) resolution, hindering attempts to unravel skeletal heterogeneity. Laser ablation mass spectrometry allows a much more refined view, and here we employ these techniques to explore boron isotope and co-varying elemental ratios in the tropical coral Siderastrea siderea. We generate two-dimensional maps of the carbonate parameters within the calcification medium that deposited the skeleton, which reveal large heterogeneities in carbonate chemistry across the macro-structure of a coral polyp. These differences have the potential to bias proxy interpretations, and indicate that different processes facilitated precipitation of different parts of the coral skeleton: the low-density columella being precipitated from a fluid with a carbonate composition closer to seawater, compared to the high-density inter-polyp walls where aragonite saturation was ~ 5 times that of external seawater. Therefore, the skeleton does not precipitate from a spatially homogeneous fluid and its different parts may thus have varying sensitivity to environmental stress. This offers new insights into the mechanisms behind the response of the S. siderea skeletal phenotype to ocean acidification

    Trophic relationships in an intertidal rockpool fish assemblage in the gulf of CĂĄdiz (NE Atlantic)

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    Many species of littoral fish that live in rocky substrates are syntopic, sharing the same coastal habitat. They have similar feeding behaviours and use small hollows as places to hide and spawn. In the present study, we identified a total of 16 resident fish species in a rockpool assemblage in the Gulf of CĂĄdiz and studied their patterns of co-occurrence. The dietary analysis performed showed the occurrence of 2 mainly herbivorous species (Lipophrys canevae and Parablennius sanguinolentus), 8 mainly carnivorous species with a percentage occurrence of algae in the diet below 10% (Gobius paganellus, Gobius cobitis, Gobius bucchichi, Clinitrachus argentatus, Tripterygion delaisi, Lepadogaster lepadogaster, Lepadogaster purpurea and Lepadogaster candolii), and 6 species that are carnivorous in the earlier phases of their lives and gradually increase the proportion of algae in their diet (Lipophrys pholis, Paralipophrys trigloides, Parablennius incognitus, Salaria pavo, Coryphoblennius galerita and Symphodus roissali). The dietary overlap among the different species does not explain the different patterns of abundance found among co-occurring species. In the present study, the common use of abundant resources coupled with specialized use of other types of resources was observed, and this allows the different species to minimise the effects of possible trophic competition

    To wet or not to wet: that is the question

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    Wetting transitions have been predicted and observed to occur for various combinations of fluids and surfaces. This paper describes the origin of such transitions, for liquid films on solid surfaces, in terms of the gas-surface interaction potentials V(r), which depend on the specific adsorption system. The transitions of light inert gases and H2 molecules on alkali metal surfaces have been explored extensively and are relatively well understood in terms of the least attractive adsorption interactions in nature. Much less thoroughly investigated are wetting transitions of Hg, water, heavy inert gases and other molecular films. The basic idea is that nonwetting occurs, for energetic reasons, if the adsorption potential's well-depth D is smaller than, or comparable to, the well-depth of the adsorbate-adsorbate mutual interaction. At the wetting temperature, Tw, the transition to wetting occurs, for entropic reasons, when the liquid's surface tension is sufficiently small that the free energy cost in forming a thick film is sufficiently compensated by the fluid- surface interaction energy. Guidelines useful for exploring wetting transitions of other systems are analyzed, in terms of generic criteria involving the "simple model", which yields results in terms of gas-surface interaction parameters and thermodynamic properties of the bulk adsorbate.Comment: Article accepted for publication in J. Low Temp. Phy
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