On some fixed point theorems under (α,ψ,ϕ) -contractivity conditions in metric spaces endowed with transitive binary relations

After the appearance of Nieto and Rodríguez-López’s theorem, the branch of fixed point theory devoted to the setting of partially ordered metric spaces have attracted much attention in the last years, especially when coupled, tripled, quadrupled and, in general, multidimensional fixed points are studied. Almost all papers in this direction have been forced to present two results assuming two different hypotheses: the involved mapping should be continuous or the metric framework should be regular. Both conditions seem to be different in nature because one of them refers to the mapping and the other one is assumed on the ambient space. In this paper, we unify such different conditions in a unique one. By introducing the notion of continuity of a mapping from a metric space into itself depending on a function α, which is the case that covers the partially ordered setting, we extend some very recent theorems involving control functions that only must be lower/upper semi-continuous from the right. Finally, we use metric spaces endowed with transitive binary relations rather than partial orders.This article was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah. N Shahzad acknowledges with thanks DSR for financial support. A-F Roldán-López-de-Hierro is grateful to the Department of Quantitative Methods for Economics and Business of the University of Granada. The same author has been partially supported by Junta de Andalucía by project FQM-268 of the Andalusian CICYE

Novel effects of strains in graphene and other two dimensional materials

The analysis of the electronic properties of strained or lattice deformed graphene combines ideas from classical condensed matter physics, soft matter, and geometrical aspects of quantum field theory (QFT) in curved spaces. Recent theoretical and experimental work shows the influence of strains in many properties of graphene not considered before, such as electronic transport, spin-orbit coupling, the formation of Moir\'e patterns, optics, ... There is also significant evidence of anharmonic effects, which can modify the structural properties of graphene. These phenomena are not restricted to graphene, and they are being intensively studied in other two dimensional materials, such as the metallic dichalcogenides. We review here recent developments related to the role of strains in the structural and electronic properties of graphene and other two dimensional compounds.Comment: 75 pages, 15 figures, review articl

Phase-locking of a Nonlinear Optical Cavity via Rocking: Transmuting Vortices into Phase Patterns

We report experimental observation of the conversion of a phase-invariant nonlinear system into a phase-locked one via the mechanism of rocking [G. J. de Valcarcel and K. Staliunas, Phys. Rev. E 67, 026604 (2003)]. This conversion results in that vortices of the phase-invariant system are being replaced by phase patterns such as domain walls. The experiment is carried out on a photorefractive oscillator in two-wave mixing configuration.A model for the experimental device is given that reproduces the observed behavior.Comment: 9 pages and 4 figure

Toxocaríase humana: inquérito soroepidemiológico na cidade amazônica de Yurimaguas, Peru

The aim of this study was to determine the seroprevalence of the infection by Toxocara in the general population of the Amazonian city of Yurimaguas, Peru. From March to August 2008, a total of 300 subjects were sampled and tested by means of a Toxocara ELISA-IgG test. A clinical and epidemiological questionnaire was used to assess the symptomatology and risk factors associated with human toxocariasis. The overall rate of seropositivity was 35.66%, with a significant high proportion in children (p < 0.001). The clinical evaluation revealed that 95.33% of the seropositive group had some type of symptomatology: headache (66.36%), respiratory compromise (63.55%), abdominal pain (54.21%), cutaneous signs (40.19%) and ocular manifestations (36.45%), and almost all of them were statistically significant (p < 0.001). Furthermore, 56.07% of the seropositive subjects presented at least one intestinal pathogen parasite with predominance of helminthes, but without significant association (p = 0.334). The analysis of risk factors showed only that the use of public places and geophagia exhibited a significant association with the seropositivity (p < 0.001). Clinical, serological and epidemiological findings associated to infection with Toxocara were observed in the present study and future studies should be done to assess this serious health problem.O objetivo do presente estudo foi estimar a soroprevalência da infecção por Toxocara em população geral da cidade de Yurimaguas, Peru. Entre os meses de Março e Agosto de 2008, foi estudado um total de 300 pessoas por exame imunológico mediante Toxocara ELISA-IgG teste. Uma ficha clínico-epidemiológica foi utilizada para avaliar a sintomatologia e os fatores de risco associados à toxocaríase. A freqüência geral de anticorpos na população foi de 35,66% com proporção significativamente maior de positividade em meninos de um a 10 anos (p < 0.001). A avaliação clínica revelou que 95.33% do grupo de soropositivos apresentava algum tipo de sintomatologia associada à toxocaríase: 66,36% cefaléia, 63,55% sintomas respiratórios, 54,21% dor abdominal, 40,19% sinais cutâneos e 36,45% manifestações oculares e quase todos estes sinais foram estatisticamente associados ao resultado da sorologia (p < 0.001). Além disso, 56,07% das pessoas com sorologia positiva tinham pelo menos algum parasito intestinal patogênico e com predominância de helmintos, mas sem nenhuma associação significativa (p = 0.334). A análise dos fatores de risco mostrou que o uso de lugares públicos e história de geofagia tiveram significativa associação com a sorologia positiva (p < 0,001). Conclui-se que existem evidências clínicas, sorológicas e epidemiológicas de infecção por Toxocara na população estudada e futuros estudos são necessários para avaliar este sério problema de saúde pública

Deformation of anisotropic Fermi surfaces due to electron-electron interactions

We analyze the deformations of the Fermi surface induced by electron-electron interactions in anisotropic two dimensional systems. We use perturbation theory to treat, on the same footing, the regular and singular regions of the Fermi surface. It is shown that, even for weak local coupling, the self-energy presents a nontrivial behavior showing momentum dependence and interplay with the Fermi surface shape. Our scheme gives simple analytical expressions based on local features of the Fermi surface.Comment: 7 pages, 3 figure

Brownian Carnot engine

The Carnot cycle imposes a fundamental upper limit to the efficiency of a macroscopic motor operating between two thermal baths. However, this bound needs to be reinterpreted at microscopic scales, where molecular bio-motors and some artificial micro-engines operate. As described by stochastic thermodynamics, energy transfers in microscopic systems are random and thermal fluctuations induce transient decreases of entropy, allowing for possible violations of the Carnot limit. Despite its potential relevance for the development of a thermodynamics of small systems, an experimental study of microscopic Carnot engines is still lacking. Here we report on an experimental realization of a Carnot engine with a single optically trapped Brownian particle as working substance. We present an exhaustive study of the energetics of the engine and analyze the fluctuations of the finite-time efficiency, showing that the Carnot bound can be surpassed for a small number of non-equilibrium cycles. As its macroscopic counterpart, the energetics of our Carnot device exhibits basic properties that one would expect to observe in any microscopic energy transducer operating with baths at different temperatures. Our results characterize the sources of irreversibility in the engine and the statistical properties of the efficiency -an insight that could inspire novel strategies in the design of efficient nano-motors.Comment: 7 pages, 7 figure

Quadrature and polarization squeezing in a dispersive optical bistability model

We theoretically study quadrature and polarization squeezing in dispersive optical bistability through a vectorial Kerr cavity model describing a nonlinear cavity filled with an isotropic chi(3) medium in which self-phase and cross-phase modulation, as well as four--wave mixing, occur. We derive expressions for the quantum fluctuations of the output field quadratures as a function of which we express the spectrum of fluctuations of the output field Stokes parameters. We pay particular attention to study how the bifurcations affecting the non-null linearly polarized output mode squeezes the orthogonally polarized vacuum mode, and show how this produces polarization squeezing.Comment: 10 text pages + 12 figure

Freqüência de eosinofilia e fatores de risco e sua associação com infecção pela Toxocara em escolares, durante estudo epidemiológico no norte de Lima, Peru

During a health survey in a primary school from the district of Carabayllo (North of Lima, Peru), 200 schoolchildren (96 male and 104 female between five to 12 years old) were randomly selected and divided in two groups (as positive or negative group), according to the serologic result of the Toxocara ELISA test from a total population of 646 schoolchildren. All children were analyzed by hematologic tests to determinate the frequency of eosinophilia and leukocytosis. Additionally, all clinical and epidemiological data were also analyzed to determine their association with toxocariasis. From group of children with positive serology, 40% had some type of eosinophilia in contrast to 19% of children with negative serology, and their association was statistically significant (OR = 2.84, p < 0.001). From all signs and symptoms evaluated, only 'dry cough' was more frequent and statistically significant in the positive serology group (OR = 2.79, p < 0.001). Almost all risk factors evaluated were highly frequent and statistically associated to the positive serology. In conclusion, the presence of eosinophilia and the risk factors evaluated in this population were frequently associated to human toxocariasis.Durante estudo epidemiológico em escola primária do Distrito de Carabayllo (norte de Lima, Peru), 200 crianças (96 do sexo masculino e 104 do feminino, entre cinco e 12 anos de idade) foram selecionadas ao acaso e divididas em dois grupos (grupo positivo e grupo negativo) de acordo com os resultados de teste de ELISA para Toxocara em população total de 646 escolares. Todas as crianças foram analisadas por testes hematológicos para determinar a freqüência de eosinofilia e leucocitose. Adicionalmente, os dados clínicos e epidemiológicos foram analisados para determinar associação com toxocaríase. No grupo de crianças com sorologia positiva 40% tinham eosinofilia em contraste com 19% de crianças com sorologia negativa e esta associação foi estatisticamente.significante (OR = 2,84, p < 0,001). De todos os sinais e sintomas avaliados, somente tosse seca foi mais freqüente e estatisticamente significante no grupo de sorologia positiva (OR = 2,79, p < 0,001). Quase todos os fatores de risco avaliados foram de alta freqüência e estatisticamente associados à sorologia positiva. Em conclusão, a presença de eosinofilia e dos fatores de risco avaliados nesta população foram frequentemente associados à toxocaríase humana

Freqüência de toxocaríase humana numa população rural de Cajamarca, Peru, mediante o uso do teste DOT-ELISA

The aim of this study was to estimate the frequency of human toxocariasis in Cauday district, Cajamarca, Peru, using a dot-ELISA test. From June to October 2005, a total of 256 adult subjects were studied. Blood samples were collected for serology by a dot-ELISA test and for hematological examination. Parasitological examination was also carried out in stool samples to check cross-reactions in the dot-ELISA. The frequency observed was 44.92%, with a significant higher proportion of positivity in male subjects. From subjects with positive serology, 45.6% had respiratory symptoms, 40.44% abdominal pain, 32.35% hepatic symptoms, 14.7% cutaneous signs, 13.23% ocular manifestations, 43.38% eosinophilia, and all of these were statistically associated to serology. Among the population evaluated, 90.23% (231/256) were parasitized. From subjects with positive serology, 92.17% had at least one intestinal parasite and the most frequent were: Blastocystis hominis (68.38%), Giardia lamblia (28.68%), Hymenolepis nana (20.0%), Ascaris lumbricoides (15.65%), Entamoeba histolytica/E. dispar (13.24%), Cyclospora cayetanensis (4.41%), Cryptosporidium sp. (1.47%), Enterobius vermicularis (0.87%), Strongyloides stercoralis (0.87%), Taenia sp. (0.87%), and Trichuris trichiura (0.87%). The rate of false positives in the dot-ELISA test was improved by serum absorption each with A. suum antigens, with a decrease of cross-reactions. In conclusion, human toxocariasis is highly frequent in this population and some risk factors like dog/cat ownership, presence of pets within house, and previous history of geophagia were observed in the present study.O propósito do presente estudo foi estimar a freqüência da toxocaríase no distrito de Cauday, Cajamarca, Peru, usando o dot-ELISA teste. Entre junho e outubro de 2005, um total de 256 pessoas foram avaliadas. Coletaram-se amostras de sangue para o teste de dot-ELISA e para o exame hematológico e amostras de fezes para exame parasitológico. A freqüência geral de anticorpos anti-Toxocara observada foi de 44,92%, com maior proporção significativa de positividade em pessoas do sexo masculino. Das pessoas com sorologia positiva, 45,6% apresentavam sintomas respiratórios, 40,44% dores abdominais, 32,35% moléstias hepáticas, 14,7% sinais cutâneos, 13,23% manifestações oculares, 43,38% eosinofilia e todos estes fatores foram estatisticamente associados à sorologia. Entre as pessoas avaliadas 90,23% estavam parasitadas e 92,17% das pessoas com sorologia positiva tinham algum parasito intestinal, sendo os mais freqüentes: Blastocystis hominis (68,38%), Giardia lamblia (28,68%), Hymenolepis nana (20,0%), Ascaris lumbricoides (15,65%), Entamoeba histolytica/E. dispar (13,24%), Cyclospora cayetanensis (4,41%), Cryptosporidium sp. (1,47%), Enterobius vermicularis (0,87%), Strongyloides stercoralis (0,87%), Taenia sp. (0,87%) e Trichuris trichiura (0,87%). A taxa de falsos positivos no teste dot-ELISA foi melhorada pela absorção dos soros com antígenos de A. suum, com diminuição das reações cruzadas. Em conclusão, a toxocaríase humana é altamente freqüente nesta população e fatores de risco como ter um cão/gato, presença dos animais dentro de casa e estória prévia de geofagia foram observados durante o presente estudo