Sharp-Interface Limit of a Fluctuating Phase-Field Model

We present a derivation of the sharp-interface limit of a generic fluctuating phase-field model for solidification. As a main result, we obtain a sharp-interface projection which presents noise terms in both the diffusion equation and in the moving boundary conditions. The presented procedure does not rely on the fluctuation-dissipation theorem, and can therefore be applied to account for both internal and external fluctuations in either variational or non-variational phase-field formulations. In particular, it can be used to introduce thermodynamical fluctuations in non-variational formulations of the phase-field model, which permit to reach better computational efficiency and provide more flexibility for describing some features of specific physical situations. This opens the possibility of performing quantitative phase-field simulations in crystal growth while accounting for the proper fluctuations of the system.Comment: 21 pages, 1 figure, submitted to Phys. Rev.

High pCO 2 levels affect metabolic rate, but not feeding behavior and fitness, of farmed giant mussel Choromytilus chorus

Indexación: Scopus.Acknowledgements. We thank Luisa Saavedra and Araceli Rodriguez-Romero for their help in the field and during laboratory activities. We also acknowledge Laura Ramajo for help with AT estimations. Emily Giles Neill provided valuable comments that greatly improved the manuscript. Special thanks are due to the reviewers and the editor for very constructive comments on the manuscript. This study was supported by the Millennium Nucleus Center for the Study of Multiple drivers on Marine Socio-Ecological Systems (MUSELS) funded by MINECON NC120086, PIA CONICYT ACT-172037 and FONDECYT grant nos. 1140938 and 1140092 to N.A.L. and M.A.L.Mar Ecol Prog Ser 454: 65−74 Findlay HS, Wood HL, Kendall MA, Spicer JI, Twitchett RJ, Widdicombe S (2009) Calcification, a physiological pro-cess to be considered in the context of the whole organ-ism. Biogeosciences 6: 2267−2284 Fitzer SC, Zhu W, Tanner KE, Phoenix VR, Kamenos NA, Cusack M (2015) Ocean acidification alters the material properties of Mytilus edulis shells. J R Soc Interface 12: 214−227 Freitas R, De Marchi L, Bastos M, Moreira A and others (2017) Effects of seawater acidification and salinity alter-ations on metabolic, osmoregulation and oxidative stress markers in Mytilus galloprovincialis. Ecol Indic 79: 54−62 Gattuso JP, Magnan A, Billé R, Cheung WWL and others (2015) Contrasting futures for ocean and society from dif-ferent anthropogenic CO2 emissions scenarios. Science 349: aac4722 Gazeau F, Urbini L, Cox TE, Alliouane S, Gattuso JP (2015) Comparison of the alkalinity and calcium anomaly tech-niques to estimate rates of net calcification. Mar Ecol Prog Ser 527: 1−12 Gray MW, Langdon CJ, Waldbusser GG, Hales B, Kramer S (2017) Mechanistic understanding of ocean acidification impacts on larval feeding physiology and energy budg-ets of the mussel Mytilus californianus. Mar Ecol Prog Ser 563: 81−94 Griffiths CL, Griffiths RJ (1987) Animal energetics, Vol 2: Bivalvia through Reptilia. In: Pandian TJ, Vernberg FJ (eds) Bivalvia. Academic Press, New York, NY, p 1−88 Harvey BP, Dwynn-Jones D, Moore PJ (2013) Meta-analysis reveals complex marine biological responses to the inter-active effects of ocean acidification and warming. Ecol Evol 3: 1016−1030 Hiebenthal C, Philipp EER, Eisenhauer A, Wahl M (2013) Effects of seawater pCO2 and temperature on shell growth, shell stability, condition and cellular stress of western Baltic Sea Mytilus edulis (L.) and Arctica is - landica (L.). Mar Biol 160: 2073−2087 Ibarrola I, Arambalza U, Navarro JM, Urrutia MB, Navarro E (2012) Allometric relationships in feeding and diges-tion in the Chilean mytilids Mytilus chilensis (Hupé), Choromytilus chorus (Molina) and Aulacomya ater (Mo - lina): a comparative study. J Exp Mar Biol Ecol 426-427: 18−27 Lagos NA, Benítez S, Duarte C, Lardies MA and others (2016) Effects of temperature and ocean acidification on shell characteristics of Argopecten purpuratus: implica-tions for scallop aquaculture in an upwelling-influenced area. Aquacult Environ Interact 8: 357−370 Lardies MA, Arias MB, Poupin MJ, Manríquez PH and oth-ers (2014) Differential response to ocean acidification in physiological traits of Concholepas concholepas popula-tions. J Sea Res 90: 127−134 Lardies MA, Benítez S, Osores S, Vargas CA, Duarte C, Lohrmann KB, Lagos NA (2017) Physiological and histo - pathological impacts of increased carbon dioxide and temperature on the scallops Argopecten purpuratus cultured under upwelling influences in northern Chile. Aquaculture 479: 455−466 Lemasson AJ, Fletcher S, Hall-Spencer JM, Knights AM (2017) Linking the biological impacts of ocean acidifica-tion on oysters to changes in ecosystem services: a review. J Exp Mar Biol Ecol 492: 49−62 Mackenzie CL, Ormondroyd GA, Curling SF, Ball RJ, Whitely NM, Malham SK (2014) Ocean warming, more than acidification, reduces shell strength in a commercial shellfish species during food limitation. PLOS ONE 9: e86764 McElhany P (2017) CO2 sensitivity experiments are not suf-ficient to show an effect of ocean acidification. ICES J Mar Sci 74: 926−928 Mehrbach C, Culberson CH, Hawley JE, Pytkowicz RM (1973) Measurement of the apparent dissociation con-stants of carbonic acid in seawater at atmospheric pres-sure. Limnol Oceanogr 18: 897−907 Melzner F, Thomsen J, Koeve W, Oschlies A and others (2013) Future ocean acidification will be amplified by hypoxia in coastal habitats. Mar Biol 160: 1875−1888 Michaelidis B, Ouzounis C, Paleras A, Pörtner HO (2005) Effects of long-term moderate hypercapnia on acid−base balance and growth rate in marine mussels Mytilus gal-loprovincialis. Mar Ecol Prog Ser 293: 109−118 Miller AW, Reynolds AC, Sobrino C, Riedel GF (2009) Shell-fish face uncertain future in high CO2 world: influence of acidification on oyster larvae calcification and growth in estuaries. PLOS ONE 4: e5661 Navarro JM (1988) The effects of salinity on the physio - logical ecology of Choromytilus chorus (Molina, 1782) (Bivalvia: Mytilidae). J Exp Mar Biol Ecol 122: 19−33 Navarro JM, Torres R, Acuña K, Duarte C and others (2013) Impact of medium-term exposure to elevated pCO2 lev-els on the physiological energetics of the mussel Mytilus chilensis. Chemosphere 90: 1242−1248 Navarro JM, Duarte C, Manríquez PH, Lardies MA and oth-ers (2016) Ocean warming and elevated carbon dioxide: multiple stressor impacts on juvenile mussels from south-ern Chile. ICES J Mar Sci 73: 764−771 Nienhuis S, Palmer AR, Harley CD (2010) Elevated CO2 affects shell dissolution rate but not calcification rate in a marine snail. Proc R Soc B 277: 2553−2558 Orr JC, Fabry VJ, Aumont O, Bopp L and others (2005) Anthropogenic ocean acidification over the twenty-first century and its impact on calcifying organisms. Nature 437: 681−686 Osores SJ, Lagos NA, San Martin V, Manríquez PH and others (2017) Plasticity and inter-population variability in physiological and life-history traits of the mussel Mytilus chilensis: a reciprocal transplant experiment. J Exp Mar Biol Ecol 490: 1−12 Palmer AR (1982) Growth in marine gastropods: a non-destructive technique for independently measuring shell and body weight. Malacologia 23: 63−73 Parker LM, Ross PM, O’Connor WA, Borysko L, Raftos DA, Pörtner HO (2012) Adult exposure influences offspring response to ocean acidification in oysters. Glob Change Biol 18: 82−92 Pierrot D, Lewis E, Wallace DWR (2006) MS Excel program developed for CO2 system calculations. ORNL/CDIAC-105a. Carbon Dioxide Information Analysis Center, Oak Ridge National Laboratory, US Department of Energy, Oak Ridge, TN Ramajo L, Marba N, Prado L, Peron S and others (2016) Bio-mineralization changes with food supply confer juvenile scallops (Argopecten purpuratus) resistance to ocean acidification. Glob Change Biol 22: 2025−2037 Range P, Chícharo MA, Ben-Hamadou R, Piló D and others (2014) Impacts of CO2-induced seawater acidification on coastal Mediterranean bivalves and interactions with other climatic stressors. Reg Environ Change 14(Suppl 1): 19−30 Sabine C, Feely RA, Gruber N, Key RM and others (2004) The oceanic sink of anthropogenic CO2. Science 305: 367–371 SERNAPESCA (Servicio Nacional de Pesca y Acuicultura) (2014) Anuarios estadísticos del Servicio Nacional de Pesca y Acuicultura. www.sernapesca.cl Solórzano L (1969) Determination of ammonia in natural waters by the phenolhypochlorite method. Limnol Oce - anogr 14: 799−801 Thomsen J, Melzner F (2010) Moderate seawater acidifica-tion does not elicit long-term metabolic depression in the blue mussel Mytilus edulis. Mar Biol 157: 2667−2676 Thomsen J, Casties I, Pansch C, Körtzinger A, Melzner F (2013) Food availability outweighs ocean acidification effects in juvenile Mytilus edulis: laboratory and field experiments. Glob Change Biol 19: 1017−1027 Thomsen J, Stapp LS, Haynert K, Schade H, Danelli M, Lannig G, Melzner F (2017) Naturally acidified habitat selects for ocean acidification-tolerant mussels. Sci Adv 3: e1602411 Toro B, Navarro JM, Palma-Fleming H (2003) Relationship between bioenergetics responses and organic pollutants in the giant mussel, Choromytilus chorus (Mollusca: Mytilidae). Aquat Toxicol 63: 257−269 Torres R, Pantoja S, Harada N, González HE, Daneri G, Frangopulos M, Fukasawa M (2011) Air-sea CO2 fluxes along the coast of Chile: from CO2 outgassing in central northern upwelling waters to CO2 uptake in southern Patagonian fjords. J Geophys Res 116: C09006 Torres R, Manriquez PH, Duarte C, Navarro JM, Lagos NA, Vargas CA, Lardies MA (2013) Evaluation of a semi - automatic system for long-term seawater carbonate chemistry manipulation. Rev Chil Hist Nat 86: 443−451 Vargas CA, Aguilera V, Martín V, Manríquez P and others (2015) CO2-driven ocean acidification disrupts the filter feeding behavior in Chilean gastropod and bivalve spe-cies from different geographic localities. Estuaries Coasts 38: 1163−1177 Vargas CA, Lagos NA, Lardies MA, Duarte C and others (2017) Species-specific responses to ocean acidification should account for local adaptation and adaptive plasti-city. Nature Ecol Evol 1: 0084 Vargas CA, Cuevas LA, Silva N, Gonzalez HE, Pol-Holz D, Narvaez DA (2018) Influence of glacier melting and river discharges on the nutrient distribution and DIC recycling in the southern Chilean Patagonia. J Geophys Res Bio-geosci 123: 256−270 Velasco LA, Navarro JM (2003) Energetic balance of infau-nal (Mulinia edulis King, 1831) and epifaunal (Mytilus chilensis Hupé, 1854) bivalves in response to wide varia-tions in concentration and quality of seston. J Exp Mar Biol Ecol 296: 79−92 Vihtakari M, Hendriks IE, Holding J, Renaud PE, Duarte CM, Havenhand JN (2013) Effects of ocean acidification and warming on sperm activity and early life stages of the Mediterranean mussel (Mytilus galloprovincialis). Water 5: 1890−1915 Wang Y, Li L, Hu M, Lu W (2015) Physiological energetic of the thick shell mussel Mytilus coruscus exposed to sea-water acidification and thermal stress. Sci Total Environ 514: 261−272 White MM, McCorkle DC, Mullineaux LS, Cohen AL (2013)Benthic habitats such as intertidal areas, sandy or rocky shores, upwelling zones, and estuaries are characterized by variable environmental conditions. This high variability of environmental stressors such as temperature, salinity, and pH/pCO 2 levels have been shown to impose restrictions on organismal performance. The giant mussel Choromytilus chorus forms intertidal and subtidal mussel beds in estuarine zones associated with fjords occurring in southern Chile and is an important aquacultural resource in Patagonia. In this study, we estimated the sensitivity of physiological traits and energy balance of C. chorus juveniles exposed to 3 pCO 2 treatments (500, 750, and 1200 μatm) for 30 d. Results showed that in acidified, high pCO 2 conditions, C. chorus juveniles had increased metabolic rates; however, other physiological traits (clearance and ingestion rates, ammonia excretion, absorption efficiency, growth rate, biomass production, net calcification, and dissolution rates) were not affected. These results suggest that when subjected to acidification, the adaptive response of C. chorus triggers tradeoffs among physiological traits that favor sustained feeding and growth in order to combat increased metabolic stress. As has been reported for other marine organisms, chronic exposure to variable pH/pCO 2 in their native habitats, such as estuarine zones, could explain the differential acclimatization capacity of giant mussels to cope with the increase in pCO 2 . Additionally, the fact that the mussels did not suffer from mortality indicates that increased pCO 2 levels may have chronic, but not lethal, effects on this species under these experimental conditions. © The authors 2017.https://www.int-res.com/abstracts/aei/v10/p267-278

Non-parametric mass reconstruction of A1689 from strong lensing data with SLAP

We present the mass distribution in the central area of the cluster A1689 by fitting over 100 multiply lensed images with the non-parametric Strong Lensing Analysis Package (SLAP, Diego et al. 2004). The surface mass distribution is obtained in a robust way finding a total mass of 0.25E15 M_sun/h within a 70'' circle radius from the central peak. Our reconstructed density profile fits well an NFW profile with small perturbations due to substructure and is compatible with the more model dependent analysis of Broadhurst et al. (2004a) based on the same data. Our estimated mass does not rely on any prior information about the distribution of dark matter in the cluster. The peak of the mass distribution falls very close to the central cD and there is substructure near the center suggesting that the cluster is not fully relaxed. We also examine the effect on the recovered mass when we include the uncertainties in the redshift of the sources and in the original shape of the sources. Using simulations designed to mimic the data, we identify some biases in our reconstructed mass distribution. We find that the recovered mass is biased toward lower masses beyond 1 arcmin (150 kpc) from the central cD and that in the very center we may be affected by degeneracy problems. On the other hand, we confirm that the reconstructed mass between 25'' and 70'' is a robust, unbiased estimate of the true mass distribution and is compatible with an NFW profile.Comment: 11 pages, 12 figures. MNRAS submitted. A full resolution of the paper can be found in http://darwin.physics.upenn.edu/SLAP

The ALHAMBRA photometric system

This paper presents the characterization of the optical range of the ALHAMBRA photometric system, a 20 contiguous, equal-width, medium-band CCD system with wavelength coverage from 3500A to 9700A. The photometric description of the system is done by presenting the full response curve as a product of the filters, CCD and atmospheric transmission curves, and using some first and second order moments of this response function. We also introduce the set of standard stars that defines the system, formed by 31 classic spectrophotometric standard stars which have been used in the calibration of other known photometric systems, and 288 stars, flux calibrated homogeneously, from the Next Generation Spectral Library (NGSL). Based on the NGSL, we determine the transformation equations between Sloan Digital Sky Survey (SDSS) ugriz photometry and the ALHAMBRA photometric system, in order to establish some relations between both systems. Finally we develop and discuss a strategy to calculate the photometric zero points of the different pointings in the ALHAMBRA project.Comment: Astronomical Journal on the 14th of January 201

LensPerfect: Gravitational Lens Massmap Reconstructions Yielding Exact Reproduction of All Multiple Images

We present a new approach to gravitational lens massmap reconstruction. Our massmap solutions perfectly reproduce the positions, fluxes, and shears of all multiple images. And each massmap accurately recovers the underlying mass distribution to a resolution limited by the number of multiple images detected. We demonstrate our technique given a mock galaxy cluster similar to Abell 1689 which gravitationally lenses 19 mock background galaxies to produce 93 multiple images. We also explore cases in which far fewer multiple images are observed, such as four multiple images of a single galaxy. Massmap solutions are never unique, and our method makes it possible to explore an extremely flexible range of physical (and unphysical) solutions, all of which perfectly reproduce the data given. Each reconfiguration of the source galaxies produces a new massmap solution. An optimization routine is provided to find those source positions (and redshifts, within uncertainties) which produce the "most physical" massmap solution, according to a new figure of merit developed here. Our method imposes no assumptions about the slope of the radial profile nor mass following light. But unlike "non-parametric" grid-based methods, the number of free parameters we solve for is only as many as the number of observable constraints (or slightly greater if fluxes are constrained). For each set of source positions and redshifts, massmap solutions are obtained "instantly" via direct matrix inversion by smoothly interpolating the deflection field using a recently developed mathematical technique. Our LensPerfect software is straightforward and easy to use and is made publicly available via our website.Comment: 17 pages, 18 figures, accepted by ApJ. Software and full-color version of paper available at http://www.its.caltech.edu/~coe/LensPerfect

Ante-hoc generation of task-agnostic interpretation maps

Existing explainability approaches for convolutional neural networks (CNNs) are mainly applied after training (post-hoc) which is generally unreliable. Ante-hoc explainers trained simultaneously with the CNN are more reliable. However, current ante-hoc explanation methods mainly generate inexplicit concept-based explanations tailored to specific tasks. To address these limitations, we propose a task-agnostic ante-hoc framework that can generate interpretation maps to visually explain any CNN. Our framework simultaneously trains the CNN and a weighting network - an explanation generation module. The generated maps are self-explanatory, eliminating the need for manual identification of concepts. We demonstrate that our method can interpret tasks such as classification, facial landmark detection, and image captioning. We show that our framework is explicit, faithful, and stable through experiments. To the best of our knowledge, this is the first ante-hoc CNN explanation strategy that produces visual explanations generic to CNNs for different tasks.This research was funded by the Spanish Ministry of Science and Innovation, grant number PID2020-116927RBC22 (R.B.).Peer ReviewedPostprint (published version

Fast Integrated Spectra Analyzer: A New Computational Tool For Age and Reddening Determination of Small Angular Diameter Open Clusters

We present a new algorithm called 'Fast Integrated Spectra Analyzer" (FISA) that permits fast and reasonably accurate age and reddening determinations for small angular diameter open clusters by using their integrated spectra in the (3600-7400) \AA \ range and currently available template spectrum libraries. This algorithm and its implementation help to achieve astrophysical results in shorter times than from other methods. A brief review is given of the integrated spectroscopic technique applied to the study of open clusters as well as the basic assumptions that justify its use. We describe the numerical algorithm employed in detail, show examples of its application, and provide a link to the code. Our method has successfully been applied to integrated spectroscopy of open clusters, both in the Galaxy and in the Magellanic Clouds, to determine ages and reddenings.Comment: 27 Pages, 7 Figures, 1 table. Accepted to PAS

The orthogonally aligned dark halo of an edge-on lensing galaxy in the Hubble Frontier Fields: a challenge for modified gravity

We examine a well-resolved lensed image that is bent by an edge-on lenticular galaxy, in the Hubble Frontier Fields (HFF) data of MACSJ0416.1−20403. The fortuitous combination of a long arc (zs ≈ 1 ± 0.2) intersecting an edge-on galaxy from the cluster (z = 0.4) provides an opportunity to constrain its dark matter (DM) halo and its orientation. We model the stellar lensing contribution and we add to this a standard parametrized dark halo component. Irrespective of the detailed choice of parameters, we obtain a combined total mass of ≈3 × 1011 M⊙. Depending on the dark halo parameters, the stellar contribution to this is limited to the range 5–15 × 1010 M⊙, or 20–50 per cent of the total mass, in good agreement with the independent (photmetric) stellar mass of 5 × 1010 M⊙ (Chabrier IMF), or 8 × 1010 M⊙ (Salpeter IMF). The major axis of the DM halo is constrained to be nearly orthogonal to the plane of the galaxy, and with an ellipticity e ≈ 0.15 corresponding to an axis ratio a/c = 0.54. We show that these conclusions are very weakly dependent on the model of the cluster, or the additional influence of neighbouring galaxies or the properties of the lensed source. Alternative theories of gravity that do not require DM are challenged by this finding since generically these must be tied to the baryonic component which is highly disfavoured by our results. Other such fortuitously useful lenses can be examined this way as they become uncovered with more HFF data to help provide a more statistical distribution of galaxy halo properties.JMD acknowledges support of the consolider project CAD2010-00064 and AYA2012-39475-C02-01 funded by the Ministerio de Economia y Competitividad.Peer Reviewe