The Site-Diluted Ising Model in Four Dimension

In the literature, there are five distinct, fragmented sets of analytic predictions for the scaling behaviour at the phase transition in the random-site Ising model in four dimensions. Here, the scaling relations for logarithmic corrections are used to complete the scaling pictures for each set. A numerical approach is then used to confirm the leading scaling picture coming from these predictions and to discriminate between them at the level of logarithmic corrections.Comment: 15 pages, 5 ps figures. Accepted for publication in Phys. Rev.

Universal Amplitude Ratios in the Ising Model in Three Dimensions

We use a high-precision Monte Carlo simulation to determine the universal specific-heat amplitude ratio A+/A- in the three-dimensional Ising model via the impact angle \phi of complex temperature zeros. We also measure the correlation-length critical exponent \nu from finite-size scaling, and the specific-heat exponent \alpha through hyperscaling. Extrapolations to the thermodynamic limit yield \phi = 59.2(1.0) degrees, A+/A- = 0.56(3), \nu = 0.63048(32) and \alpha = 0.1086(10). These results are compatible with some previous estimates from a variety of sources and rule out recently conjectured exact values.Comment: 17 pages, 5 figure

Self-Averaging in the Three Dimensional Site Diluted Heisenberg Model at the critical point

We study the self-averaging properties of the three dimensional site diluted Heisenberg model. The Harris criterion \cite{critharris} states that disorder is irrelevant since the specific heat critical exponent of the pure model is negative. According with some analytical approaches \cite{harris}, this implies that the susceptibility should be self-averaging at the critical temperature ($R_\chi=0$). We have checked this theoretical prediction for a large range of dilution (including strong dilution) at critically and we have found that the introduction of scaling corrections is crucial in order to obtain self-averageness in this model. Finally we have computed critical exponents and cumulants which compare very well with those of the pure model supporting the Universality predicted by the Harris criterion.Comment: 11 pages, 11 figures, 14 tables. New analysis (scaling corrections in the g2=0 scenario) and new numerical simulations. Title and conclusions chang

Universal behavior of crystalline membranes: Crumpling transition and Poisson ratio of the flat phase

We revisit the universal behavior of crystalline membranes at and below the crumpling transition, which pertains to the mechanical properties of important soft and hard matter materials, such as the cytoskeleton of red blood cells or graphene. Specifically, we perform large-scale Monte Carlo simulations of a triangulated two-dimensional phantom network which is freely fluctuating in three-dimensional space. We obtain a continuous crumpling transition characterized by critical exponents which we estimate accurately through the use of finite-size techniques. By controlling the scaling corrections, we additionally compute with high accuracy the asymptotic value of the Poisson ratio in the flat phase, thus characterizing the auxetic properties of this class of systems. We obtain agreement with the value which is universally expected for polymerized membranes with a fixed connectivity.This work was partially supported by Ministerio de Economía y Competitividad (Spain) through Grants No. FIS2012-38866-C05-01 and No. FIS2013-42840-P, by Junta de Extremadura (Spain) through Grant No. GRU10158 (partially funded by FEDER), and by the European Union through Grant No. PIRSES-GA-2011-295302. We also made use of the computing facilities of Extremadura Research Centre for Advanced Technologies (CETA-CIEMAT), funded by the European Regional Development Fund (ERDF)

Harmonic states for the free particle

Different families of states, which are solutions of the time-dependent free Schr\"odinger equation, are imported from the harmonic oscillator using the Quantum Arnold Transformation introduced in a previous paper. Among them, infinite series of states are given that are normalizable, expand the whole space of solutions, are spatially multi-localized and are eigenstates of a suitably defined number operator. Associated with these states new sets of coherent and squeezed states for the free particle are defined representing traveling, squeezed, multi-localized wave packets. These states are also constructed in higher dimensions, leading to the quantum mechanical version of the Hermite-Gauss and Laguerre-Gauss states of paraxial wave optics. Some applications of these new families of states and procedures to experimentally realize and manipulate them are outlined.Comment: 21 pages, 3 figures. Title changed, content added, references adde

Laterally rotated flap for soft tissue augmentation around maxillary loaded osseointegrated dental implants: preliminary results of a pilot study

© The Author(s). 2021. This manuscript version is made available under the CC-BY 4.0 license http://creativecommons.org/licenses/by/4.0/. This document is the Published version of a Published Work that appeared in final form in International Journal of Implant Dentistry. To access the final edited and published work see https://doi.org/10.1186/s40729-021-00376-1A minimal width and thickness of keratinized and attached soft tissue is desirable to prevent peri-implant diseases. This report describes the preliminary results of a pilot study of a surgical approach for soft tissue augmentation around loaded dental implants in the partially or totally edentulous maxilla. Four patients presenting eight maxillary implants with a buccal peri-implant soft tissue deficiency received a laterally rotated flap. A buccal mesial and apical recipient area was created around each implant, and a pediculated keratinized graft was rotated 90° from the distopalatal and positioned and sutured on the peri-implant buccal aspect. All implants treated showed a gain in buccal clinical peri-implant attachment (1.37 ± 0.44 mm) and buccal soft tissue levels (2.06 ± 1.40 mm) and interproximal soft tissue levels (1 ± 0.75 mm). The technique provided quality soft tissue with a gain in soft tissue thickness (3.06 ± 0.68 mm) and keratinized wide tissue (4.69 ± 0.80 mm) with minimal morbidity (1575 ± 549.67 mg of ibuprofen) and maintenance of prosthetic loading. Peri-implant soft tissue stability was maintained for 13.5 ± 1.87 months. Laterally rotated flap can be applied and provide clinical benefits to compromised implants due to the presence of buccal peri-implant soft tissue deficiency. Further studies are required to confirm these preliminary results

Los pigmentos como marcadores de trazabilidad del aceite de oliva

XIV Simposium Científico-Técnico del Aceite de Oliva= XIV Scientific-Technical Symposium of Olive Oil. (Jáén, 13-15 mayo, 2009). EXPOLIVA 2009.Se discute la utilidad de los pigmentos clorofílicos y carotenoides como marcadores químicos para la trazabilidad del aceite de oliva en los siguientes puntos: 1.-Marcadores para rastrear el origen varietal del aceite: la presencia de pigmentos exclusivos tales como derivados clorofílicos desesterificados y/o xantofilas esterificadas se puede aplicar para diferenciar aceites de las variedades Arbequina y Blanqueta. Así mismo, el contenido total en pigmentos y los porcentajes de las xantofilas violaxanteno y luteína son de utilidad como variables clasificatorias en un modelo de rastreo del origen varietal. 2.- Marcadores de condiciones térmicas en el procesado y/o almacenamiento: el porcentaje de ciertos pigmentos clorofílicos oxidados como pirofeofitina “a” puede indicar malas prácticas de procesado y/o almacenamiento. Se propone la aplicación de un modelo matemático para predecir la formación de pirofeofitina “a” en aceite de oliva virgen, en función del tiempo y temperatura de almacenamiento como herramienta para su trazabilidad. 3.-Marcadores de adulteración en el producto envasado: la presencia de pigmentos ajenos a la oliva o la alteración de las relaciones cuantitativas entre ciertos pigmentos se proponen como marcadores de adulteración.Sergio Alcañiz (Ayudante de Laboratorio) Dirección General de Investigación por la financiación de los Proyectos de Investigación: OLI97-2151 AGL 2000-0699 AGL 2004-07623-C03-02 AGL 2007-66139-C02-01.Peer reviewe