Black hole thermodynamical entropy

As early as 1902, Gibbs pointed out that systems whose partition function diverges, e.g. gravitation, lie outside the validity of the Boltzmann-Gibbs (BG) theory. Consistently, since the pioneering Bekenstein-Hawking results, physically meaningful evidence (e.g., the holographic principle) has accumulated that the BG entropy $S_{BG}$ of a $(3+1)$ black hole is proportional to its area $L^2$ ($L$ being a characteristic linear length), and not to its volume $L^3$. Similarly it exists the \emph{area law}, so named because, for a wide class of strongly quantum-entangled $d$-dimensional systems, $S_{BG}$ is proportional to $\ln L$ if $d=1$, and to $L^{d-1}$ if $d>1$, instead of being proportional to $L^d$ ($d \ge 1$). These results violate the extensivity of the thermodynamical entropy of a $d$-dimensional system. This thermodynamical inconsistency disappears if we realize that the thermodynamical entropy of such nonstandard systems is \emph{not} to be identified with the BG {\it additive} entropy but with appropriately generalized {\it nonadditive} entropies. Indeed, the celebrated usefulness of the BG entropy is founded on hypothesis such as relatively weak probabilistic correlations (and their connections to ergodicity, which by no means can be assumed as a general rule of nature). Here we introduce a generalized entropy which, for the Schwarzschild black hole and the area law, can solve the thermodynamic puzzle.Comment: 7 pages, 2 figures. Accepted for publication in EPJ

RELAÇÃO ENTRE O TAMANHO DAS BACIAS DE DRENAGEM DE PRIMEIRA ORDEM E O GRAU DE DISSECAÇÃO DO RELEVO VIA ÍNDICE DE CONCENTRAÇÃO DA RUGOSIDADE (ICR) – UMA ANÁLISE COM BASE NO OESTE DO PARANÁ – BR.

A estruturação da rede de drenagem é influenciada por diversos fatores físico- ambientais, dentre eles o relevo. Com o objetivo de verificar tal influência, a presente pesquisa mensurou a relação entre o tamanho das bacias de drenagem de primeira ordem, localizadas no oeste do Paraná, e o grau de dissecação do relevo, aplicando a metodologia do Índice de Concentração da Rugosidade (ICR). No entanto, o resultado obtido (-0,0598) indicou fraca correlação negativa entre as variáveis

Influence of activation mode, fatigue, and ceramic interposition on resin cements' diametral tensile strength

This study evaluated the influence of activation modes, on Diametral Tensile Strength (DTS) of dual cured resin cements subjected to a Mechanical Fatigue test (MF). Four dual-cured resin cements (RelyX UNICEM [U], RelyX ARC [A], ENFORCE [E] and Nexus 2 [N]) were activated by three different curing modes as follows: Self-Curing (SC), Dual Cure activation with photoactivation executed directly (DC) and Dual Cure activation with Photoactivation Through Porcelain (DCTP). After 24 hours, half of the sample was subjected to 30.000 fatigue cycles at 1 Hz frequency and 12 N load. Then, all specimens were subjected to DTS test in Instron Universal Testing Machine and data were analyzed by three-way ANOVA and Tukey's Test (5%). The results of DTS test means (MPa) and standard deviation, for each cement factor activated by SC, DC and DCTP was respectively: U (28.12 ± 5.29; 37.44 ± 6.49 and 40.10 ± 4.39), A (49.68 ± 8.42; 55.12 ± 5.16 and 63.43 ± 6.92), E (49.12 ± 3.89; 56.42 ± 8.88 and 56.96 ± 6.45) and N (61.89 ± 11.21; 59.26 ± 9.47 and 62.56 ± 10.93). Turkey's test indicated that DC is related to the highest DTS values; Nexus 2 DTS remained the same independently of activation mode and that the Porcelain disk interposition enhanced DTS only for RelyX ARC the ANOVA statistical test indicated that MF didn't alter the DTS values for all experimental groups. MF results clinical implication is that all cements tested exhibited, in an immediate loading, good cross linked bonds quality33COORDENAÇÃO DE APERFEIÇOAMENTO DE PESSOAL DE NÍVEL SUPERIOR - CAPESnão te

A Comparison between Dual Phase Steel and Interstitial Free Steel Due To the Springback Effect

International audienceThis is a study of the springback effect on two kinds of high strength steel, which are: dualphase and interstitial free, currently used as feedstock in the production of vehicles. The mechanical characterization of the springback effect was performed by means of a mechanical conformation test, called three-point air bending, performed by adapting it to the unconstrained cylindrical bending test. It was also evaluated the mechanical properties of the material defined by the tensile test in order to determine its tensile strength, yield strength, and elongation. Furthermore, it was performed a microstructural characterization of advanced steels by identifying and quantifying the present phases in coexistence by means of digital image processing. The results indicate that the springback effect in the dual-phase steel has the highest springback rates due to its high mechanical strength, and it causes a decrease in the aspect ratio of the grains that suffered mechanical conformation attempting to return it to its original form. On the other hand, the springback effect has the lowest rates, and the change in aspect ratio depends only on the interstitial free steel elongation capacity due to its lower mechanical strength

Fatores nutricionais no leite de mães brasileiras de recém-nascidos de baixo peso para idade gestacional

The composition of breast milk from brazilian mothers delivering low birthweight infants and its adequacy as a source of nutrients for this group has not yet been fully elucidated. A total of 209 milk samples from 66 women were analysed. The mothers were divided into three groups: G1, mothers delivering term babies of low birthweight (TSGA, n=16); G2, mothers delivering preterm babies of appropriate birthweight (PTAGA, n=20); G3, mothers delivering term babies of appropriate birthweight (TAGA, n=30). The following factors were analysed: osmolarity, total proteins and protein fractions, creamatocrit, sodium, potassium, calcium and magnesium. Milk samples were collected 48 h and 7, 15, 30 and 60 days after delivery. The groups did not differ significantly in terms of osmolarity, total proteins and fractions, creamatocrit, calcium, magnesium or potassium throughout the study period. Sodium levels were higher in all samples from mothers of TSGA infants and in samples from mothers of PTAGA infants on the 7th, 15th and 30th days than in milk from the TAGA group. The authors consider the needs of the low birthweight and TAGA infants and that these high sodium levels may be necessary for growth of low birthweight infants.A composição do leite de mães brasileiras de lactentes de baixo peso e sua adequação como fonte de nutrientes para este grupo ainda não foi totalmente elucidada. Um total de 209 amostras de leite de 66 nutrizes foram analisadas. As mães foram divididas em três grupos: G1, mães de recém-nascidos (RN) a termo, com baixo peso (TSGA, n=16); G2, mães de RN pré-termo, com peso adequado (PTAGA, n=20); G3, mães de RN a termo e peso adequado (TAGA, n=30). Os seguintes fatores foram analisados: osmolaridade, proteínas totais e frações, crematócrito, sódio, potássio, cálcio e magnésio. As amostras foram coletadas 48 h, no 7º, 15º, 30º e 60º dias após o parto. Os grupos não diferiram em termos de osmolaridade, proteínas totais e frações, crematócrito, cálcio, magnésio ou potássio durante o estudo. Os níveis de sódio foram maiores em todas as amostras de mães de TSGA e em mães de PTAGA no 7º, 15º e 30º dias em relação a mães de TAGA. Foram consideradas as necessidades dos lactentes de baixo peso e TAGA, e estes níveis de sódio podem ser necessários para o crescimento dos RN de baixo peso

Glucose-6-phosphate dehydrogenase deficiency with recurrent infections: case report

OBJECTIVE: To report a case of rare neutrophil functional disorder with clinical and laboratory findings similar to those of chronic granulomatous disease. METHODS: Patient with extremely reduced level of glucose-6-phosphate dehydrogenase and recurrent infections that improved after continuous use of cotrimoxazole. The patient presented leukocytes with defective respiratory burst, similar to what occurs in chronic granulomatous disease. COMMENTS: The diagnosis of glucose-6-phosphate dehydrogenase deficiency in neutrophils should be considered in any patient with hemolytic anemia whose level of G6PD is extremely low or in any patient that presents recurrent infections as differential diagnosis of chronic granulomatous disease.OBJETIVO: relatar a ocorrência de uma deficiência funcional de neutrófilos rara, com quadro clínico e laboratorial semelhante ao da doença granulomatosa crônica. MÉTODOS: relato de caso de paciente com deficiência acentuada da glicose-6-fosfato desidrogenase e infecções de repetição. Realizada pesquisa bibliográfica utilizando as bases de dados Medline e Lilacs, abrangendo o período de 1972 a 2000. RESULTADOS: paciente com nível da glicose-6-fosfato desidrogenase extremamente reduzido e quadro de infeções graves com melhora clínica após uso de cotrimoxazol contínuo. Os leucócitos do paciente apresentam defeito no metabolismo oxidativo, similar ao da doença granulomatosa crônica. CONCLUSÕES: o diagnóstico da deficiência da glicose-6-fosfato desidrogenase em neutrófilos deve ser considerado em qualquer paciente com anemia hemolítica não esferocítica congênita no qual o nível da glicose-6-fosfato desidrogenase esteja anormalmente baixo ou apresente infeções de repetição. É diagnóstico diferencial da doença granulomatosa crônica.33133

Antioxidant, hemolytic, antimicrobial, and cytotoxic activities of the tropical Atlantic marine zoanthid Palythoa caribaeorum

Marine invertebrates are capable of synthesizing bioactive compounds, which may be beneficial to human health. The aim of this study was to evaluate the antioxidant, hemolytic, antimicrobial and cytotoxic activities of crude extract (70% EtOH), and dichloromethane (DCM), ethyl acetate (EtOAc), and aqueous (Aq) fractions of the marine zoanthid Palythoa caribaeorum. The phenolic compound contents of the crude extract, DCM, EtOAc and Aq fractions were 12.33, 18.17, 10.53, and 3.18 mg GAE per gram, respectively. DPPH radical scavenging activity showed slight variation. IC50 of crude extract, DCM, EtOAc and Aq fractions were 11.13, 11.25, 11.74, and 11.28 µg mL-1, respectively. Among the sample, ferrous ion chelating was the highest in crude extract (IC50 302.90 µg mL-1), followed by EtOAc, Aq, and DCM fractions with 457.77, 547.91, and 641.82 µg mL-1, respectively. Ferric-reducing antioxidant power showed optical density at about 0.5. The samples tested exhibited low hemolytic activity under 10% up to a concentration of 50 μg mL-1. No antimicrobial activity was observed against any of the tested bacterial strains. For the cytotoxic activity, LC50 of DCM, crude extract, EtOAc, and Aq were 52.10, 83.06, 86.34, and 117.45 μg mL-1, showing high toxicity.</jats:p

SELECTION OF EUCALYPTUS CLONES AND ADJUSTMENT OF POTASSIUM DOSES FOR EXTENDED DROUGHT IN BAHIA SAVANNA

ABSTRACT The use of clones adapted to regions with water deficit caused by well-defined and prolonged dry periods, as happens in the western part Bahia, is a way to overcome water stress. The adjustment of potassium (K) also influences this aspect, because it regulates the opening and closing of stomata, impeding water loss by plants and making them more efficient in water use. Therefore, the aim of this study was to evaluate the performance of eucalyptus clones grown for energy production in response to potassium levels in soil and climate conditions, in the municipality of Luis Eduardo Magalhães, located in western Bahia state. A randomized block with four replications in a split plot was used as experimental design. Six eucalyptus clones (AEC-056, CEA-144, CEA-220, CEA-224, CEA-103 and CEA-1528) and four doses of K2O (0, 30, 60 and 120 kg ha-1) were tested. At two years old, clone 1528 showed greatest productivity, with the tallest height and trunk diameter, while 056 showed the lowest performance. Different K requirements were observed among eucalyptus clones for both growth and productivity