Advancing numerics for the Casimir effect to experimentally relevant aspect ratios

Within the scattering theoretical approach, the Casimir force is obtained numerically by an evaluation of the round trip of an electromagnetic wave between the objects involved. Recently [Hartmann M et al. 2017, Phys. Rev. Lett. 119 043901] it was shown that a symmetrization of the scattering operator provides significant advantages for the numerical evaluation of the Casimir force in the experimentally relevant sphere-plane geometry. Here, we discuss in more detail how the symmetrization modifies the scattering matrix in the multipole basis and how computational time is reduced. As an application, we discuss how the Casimir force in the sphere-plane geometry deviates from the proximity force approximation as a function of the geometric parameters.Comment: 9 pages, 8 figure

Repertório vocal de Hylodes phyllodes (Amphibia, Anura, Hylodidae)

Hyllodes phyllodes is a diurnal frog, found in mountain streams in the Atlantic forest. Five vocalization types of H. phyllodes are described here, along with the social behavior with which they are associated. These five vocalizations include two types of advertisement calls, a courtship call, a territorial call, and a call emitted during the intervals between male-male conflicts. Frogs were studied from January 2001 to November 2002, in riverine creeks of the Atlantic forest, at Núcleo Picinguaba, Parque Estadual da Serra do Mar, Municipality of Ubatuba, state of São Paulo. Frogs were observed throughout the day, for a total of 80 hours of observations and recordings of 22 individuals. The advertisement call in this study is slightly different than that originally described, and may be due to environmental conditions, or behavioral variations, at the time of recording. Vocal adaptations of diurnal species that live in a noisy aquatic environment permit aural communication in a range of sounds outside those of the water noises. Thus, the calls of H. phyllodes have a dominant frequency much higher than that of the noise of the water current - that is, greater than 3.5 kHz. We show here that H. phyllodes has the richest known vocal repertoire within the genus Hylodes.Hyllodes phyllodes é um anfíbio diurno, que ocorre em córregos de montanha associados à Floresta Atlântica. Neste estudo, são caracterizados cinco tipos de vocalizações de Hylodes phyllodes relacionadas com o comportamento social desta espécie: dois tipos de canto de anúncio, canto de corte, canto territorial e canto de intervalo de briga. O estudo foi realizado entre janeiro de 2001 e novembro de 2002 em córregos na Mata Atlântica, dentro da área do Núcleo Picinguaba, Parque Estadual da Serra do Mar, no Município de Ubatuba, Estado de São Paulo. As observações foram realizadas em vários horários do dia, totalizando 80 horas de observações e gravação de 22 espécimes. O canto de anúncio descrito neste estudo apresentou pequenas diferenças em relação ao canto descrito originalmente, mas estas diferenças provavelmente são resultado de condições ambientais e/ou características comportamentais dos indivíduos gravados em Picinguaba e Boracéia. Adaptações na vocalização de espécies diurnas que vivem em riachos de correnteza permitem a comunicação sonora em um canal livre do barulho d'água, deste modo, os cantos de H. phyllodes têm freqüência dominante acima do barulho da correnteza, ou seja, maior que 3,5 kHz. Este estudo identifica H. phyllodes como a espécie com o repertório vocal mais rico do gênero

Visualizing the Local Optical Response of Semiconducting Carbon Nanotubes to DNA-Wrapping

We studied the local optical response of semiconducting single-walled carbon nanotubes to wrapping by DNA segments using high resolution tip-enhanced near-field microscopy. Photoluminescence (PL) near-field images of single nanotubes reveal large DNA-wrapping-induced red shifts of the exciton energy that are two times higher than indicated by spatially averaging confocal microscopy. Near-field PL spectra taken along nanotubes feature two distinct PL bands resulting from DNA-wrapped and unwrapped nanotube segments. The transition between the two energy levels occurs on a length scale smaller than our spatial resolution of about 15 nm

Proximity force approximation and specular reflection: Application of the WKB limit of Mie scattering to the Casimir effect

The electromagnetic Casimir interaction between two spheres is studied within the scattering approach using the plane-wave basis. It is demonstrated that the proximity force approximation (PFA) corresponds to the specular-reflection limit of Mie scattering. Using the leading-order semiclassical WKB approximation for the direct reflection term in the Debye expansion for the scattering amplitudes, we prove that PFA provides the correct leading-order divergence for arbitrary materials and temperatures in the sphere-sphere and the plane-sphere geometry. Our derivation implies that only a small section around the points of closest approach between the interacting spherical surfaces contributes in the PFA regime. The corresponding characteristic length scale is estimated from the width of the Gaussian integrand obtained within the saddle-point approximation. At low temperatures, the area relevant for the thermal corrections is much larger than the area contributing to the zero-temperature result.Comment: 13 pages, 3 figure

Starch and lipid storage strategies in tropical trees relate to growth and mortality

Summary Non‐structural carbon (NSC) storage (i.e. starch, soluble sugras and lipids) in tree stems play important roles in metabolism and growth. Their spatial distribution in wood may explain species‐specific differences in carbon storage dynamics, growth and survival. However, quantitative information on the spatial distribution of starch and lipids in wood is sparse due to methodological limitations. Here we assessed differences in wood NSC and lipid storage between tropical tree species with different growth and mortality rates and contrasting functional types. We measured starch and soluble sugars in wood cores up to 4 cm deep into the stem using standard chemical quantification methods and histological slices stained with Lugol's iodine. We also detected neutral lipids using histological slices stained with Oil‐Red‐O. The histological method allowed us to group individuals into two categories according to their starch storage strategy: fiber‐storing trees and parenchyma‐storing trees. The first group had a bigger starch pool, slower growth and lower mortality rates than the second group. Lipid storage was found in wood parenchyma in five species and was related to low mortality rates. The quantification of the spatial distribution of starch and lipids in wood improves our understanding of NSC dynamics in trees and reveals additional dimensions of tree growth and survival strategies

The Fate of Carbon in Sediments of the Xingu and Tapajós Clearwater Rivers, Eastern Amazon

The Xingu and Tapajós rivers in the eastern Amazon are the largest clearwater systems of the Amazon basin. Both rivers have “fluvial rias” (i.e., lake-like channels) in their downstream reaches as they are naturally impounded by the Amazon mainstem. Fluvial rias are widespread in the Amazon landscape and most of the sedimentary load from the major clearwater and blackwater rivers is deposited in these channels. So far, little is known about the role of Amazon rias as a trap and reactor for organic sediments. In this study, we used organic and inorganic geochemistry, magnetic susceptibility, diatom, and pollen analyses in sediments (suspended, riverbed, and downcore) of the Xingu and Tapajós rias to investigate the effects of hydrologic variations on the carbon budget in these clearwater rivers over the Holocene. Ages of sediment deposition (~100 to 5,500 years) were constrained by optically stimulated luminescence and radiocarbon. Major elements geochemistry and concentration of total organic carbon (TOC) indicate that seasonal hydrologic variations exert a strong influence on riverine productivity and on the input and preservation of organic matter in sediments. Stable carbon isotope data (δ13C from −31.04 to −27.49‰) and pollen analysis indicate that most of the carbon buried in rias is derived from forests. In the Xingu River, diatom analysis in bottom sediments revealed 65 infrageneric taxa that are mostly well-adapted to slack oligotrophic and acidic waters. TOC values in sediment cores are similar to values measured in riverbed sediments and indicate suitable conditions for organic matter preservation in sediments of the Xingu and Tapajós rias at least since the mid-Holocene, with carbon burial rates varying from about 84 g m−2 yr−1 to 169 g m−2 yr−1. However, redox-sensitive elements in sediment core indicate alternation between anoxic/dysoxic and oxic conditions in the water-sediment interface that may be linked to abrupt changes in precipitation. The variation between anoxic/dysoxic and oxic conditions in the water-sediment interface controls organic matter mineralization and methanogenesis. Thus, such changes promoted by hydrological variations significantly affect the capacity of Amazon rias to act either as sources or sinks of carbon