Test particle propagation in magnetostatic turbulence. 1. Failure of the diffusion approximation

The equation which governs the quasi-linear approximation to the ensemble and gyro-phase averaged one-body probability distribution function is constructed from first principles. This derived equation is subjected to a thorough investigation in order to calculate the possible limitations of the quasi-linear approximation. It is shown that the reduction of this equation to a standard diffusion equation in the Markovian limit can be accomplished through the application of the adiabatic approximation. A numerical solution of the standard diffusion equation in the Markovian limit is obtained for the narrow parallel beam injection. Comparison of the diabatic and adiabatic results explicitly demonstrates the failure of the Markovian description of the probability distribution function. Through the use of a linear time-scale extension the failure of the adiabatic approximation, which leads to the Markovian limit, is shown to be due to mixing of the relaxation and interaction time scales in the presence of the strong mean field

Test particle propagation in magnetostatic turbulence. 3: The approach to equilibrium

The asymptotic behavior, for large time, of the quasi-linear diabatic solutions and their local approximations is considered. A time averaging procedure is introduced which yields the averages of these solutions over time intervals which contain only large time values. A discussion of the quasi-linear diabatic solutions which is limited to those solutions that are bounded from below as functions of time is given. It is shown that as the upper limit of the time averaging interval is allowed to approach infinity the time averaged quasi-linear diabatic solutions must approach isotropy (mu-independence). The first derivative with respect to mu of these solutions is also considered. This discussion is limited to first derivatives which are bounded functions of time. It is shown that as the upper limit of the time averaging interval is allowed to approach infinity, the time averaged first derivative must approach zero everywhere in mu except at mu = 0 where it must approach a large value which is calculated. The impact of this large derivative on the quasi-linear expansion scheme is discussed. An H-theorem for the first local approximation to the quasi-linear diabatic solutions is constructed. Without time averaging, the H-theorem is used to determine sufficient conditions for the first local approximate solutions to asymptote, with increasing time, to exactly the same final state which the time averaged quasi-linear diabatic solutions must approach as discussed above

Test particle propagation in magnetostatic turbulence. 2: The local approximation method

An approximation method for statistical mechanics is presented and applied to a class of problems which contains a test particle propagation problem. All of the available basic equations used in statistical mechanics are cast in the form of a single equation which is integrodifferential in time and which is then used as the starting point for the construction of the local approximation method. Simplification of the integrodifferential equation is achieved through approximation to the Laplace transform of its kernel. The approximation is valid near the origin in the Laplace space and is based on the assumption of small Laplace variable. No other small parameter is necessary for the construction of this approximation method. The n'th level of approximation is constructed formally, and the first five levels of approximation are calculated explicitly. It is shown that each level of approximation is governed by an inhomogeneous partial differential equation in time with time independent operator coefficients. The order in time of these partial differential equations is found to increase as n does. At n = 0 the most local first order partial differential equation which governs the Markovian limit is regained

Imagina que eres... Indagación sobre el uso de la lengua común en contexto matemático en la escuela media

Este artículo presenta los resultados de una investigación, realizada en la escuela media, sobre el uso de la lengua natural en contexto matemático, y sobre la producción de modelos externos en torno a las concepciones profundas de algunos conceptos elementales que poseen los alumnos. Con una técnica que invita a los alumnos a asumir un papel diferente del que usualmente juegan en la clase de matemáticas, se intentaba empujarlos a escribir acerca de asuntos matemáticos elementales en un lenguaje coloquial, sin los aparatos formales que con frecuencia exhiben. No obstante haber acogido bien el juego del cambio de papel que les propusimos y haber respondido a las situaciones problemáticas usando lengua natural, la mayoría de los alumnos presentó la tendencia a completar su respuesta inicial con una respuesta formal, a menudo vacía, que tenía poco que ver con la tarea. En casos en que los alumnos no usaron aparatos formales para responder se identificaron modelos que resultan interesantes en el plano de verificación de los aprendizajes

Kegiatan Islami di Kampung Kauman Kota Semarang

Kampung Kauman merupakan salah satu cikal bakal pertumbuhan kota Semarang. Dahulunya Kampung Kauman dikenal sebagai pusat peradaban Islam. Kampung Kauman sangat berperan penting dalam penyebaran agama Islam di kota Semarang dan merupakan tempat tinggal atau hunian para pemuka Agama Islam. Kini, pertumbuhan dan perkembangan kebudayaan Islam dipengaruhi oleh akulturasi dengan kebudayaan setempat dan inkulturasi dengan budaya luar. Secara eksternal Kampung Kauman memiliki posisi yang sangat sulit, terjepit diantara pesatnya perkembangan fungsi komersial di kawasan Johar, sementara itu semangat untuk mempertahankan suatu sejarah kota di kawasan ini semakin memudar. Melihat kondisi seperti itu maka penelitian ini bertujuan pada mengkaji Kegiatan Islami dan keberlangsungannya di Kampung Kauman Kota Semarang. Penelitian ini pada dasarnya menggunakan pendekatan kualitatif yang mana untuk memahami fenomena atau gejala sosial dengan lebih menitik beratkan pada gambaran yang lengkap tentang fenomena yang dikaji daripada memerincinya menjadi variabel-variabel yang saling terkait. Melalui penelitian ini maka hasil yang diharapkan adalah fakta yang ada dalam bentuk kegiatan Islami dan keberlangsungannya, menurut rukun Islam, kegiatan Islami tahunan dan kegiatan Islami lainnya, begitupula bentuk pengaruh kawasan sekitarnya terhadap kegiatan islami di Kampung Kauman ini. Penelitian ini diharapkan dapat bermanfaat dalam bentuk keunikan Kampung Kauman dari segi kegiatan Islami dan keberlangsungannya yang telah ada sejak turun temurun

Linear Ramps of Interaction in the Fermionic Hubbard Model

We study the out of equilibrium dynamics of the Fermionic Hubbard Model induced by a linear ramp of the repulsive interaction $U$ from the metallic state through the Mott transition. To this extent we use a time dependent Gutzwiller variational method and complement this analysis with the inclusion of quantum fluctuations at the leading order, in the framework of a $Z_2$ slave spin theory. We discuss the dynamics during the ramp and the issue of adiabaticity through the scaling of the excitation energy with the ramp duration $\tau$. In addition, we study the dynamics for times scales longer than the ramp time, when the system is again isolated and the total energy conserved. We establish the existence of a dynamical phase transition analogous to the one present in the sudden quench case and discuss its properties as a function of final interaction and ramp duration. Finally we discuss the role of quantum fluctuations on the mean field dynamics for both long ramps, where spin wave theory is sufficient, and for very short ramps, where a self consistent treatment of quantum fluctuations is required in order to obtain relaxation.Comment: v2: 19 pages, 14 figures, published versio

Incubation of canine dermal fibroblasts with serum from dogs with atopic dermatitis activates extracellular matrix signalling and represses oxidative phosphorylation

The aim of this study was to investigate the effects on gene expression in canine fibroblasts after incubation with a medium enriched with atopic dermatitis canine serum (CAD) compared with healthy canine serum (CTRL) and fetal bovine serum (FBS). Differential Expression and Pathway analysis (iDEP94) in R package (v0.92) was used to identify differentially expressed genes (DEGs) with a False Discovery Rate of 0.01. DEGs from fibroblasts incubated with CAD serum were significantly upregulated and enriched in the extracellular matrix (ECM) and focal adhesion signalling but downregulated in the oxidative phosphorylation pathway. Genes involved in profibrotic processes, such as TGFB1, INHBA, ERK1/2, and the downward regulated genes (collagens and integrins), were significantly upregulated after fibroblasts were exposed to CAD serum. The observed downregulation of genes involved in oxidative phosphorylation suggests metabolic dysregulation toward a myofibroblast phenotype responsible for fibrosis. No differences were found when comparing CTRL with FBS. The DEGs identified in fibroblasts incubated with CAD serum suggest activation of signalling pathways involved in gradual differentiation through a myofibroblast precursors that represent the onset of fibrosis. Molecular and metabolic knowledge of fibroblast changes can be used to identify biomarkers of the disease and new potential pharmacological targets

The GRAAL high resolution BGO calorimeter and its energy calibration and monitoring system

We describe the electromagnetic calorimeter built for the GRAAL apparatus at the ESRF. Its monitoring system is presented in detail. Results from tests and the performance obtained during the first GRAAL experiments are given. The energy calibration accuracy and stability reached is a small fraction of the intrinsic detector resolution.Comment: 19 pages, 14 figures, submitted to Nuclear Instruments and Method

Blood microbiome: A new marker of gut microbial population in dogs?

The characterization of the microbial population in different compartments of the organism, such as the gastrointestinal tract, is now possible thanks to the use of high-throughput DNA sequencing technique. Several studies in the companion animals field have already investigated the fecal microbiome in healthy or sick subjects; however, the methodologies used in the different laboratories and the limited number of animals recruited in each experiment do not allow a straight comparison among published results. Previously, our research focused on the characterization of the microbial taxa variability in 340 fecal samples from 132 healthy dogs, collected serially from several in-house experiments. The results supported the responsiveness of microbiota to dietary and sex factors and allowed us to cluster dogs with high accuracy. For the present study, intestinal and blood microbiota of healthy dogs from different breeds, genders, ages and food habits were collected, with three principal aims: firstly, to confirm the results of our previous study regarding the fecal microbiome affected by the different type of diet; secondly, to investigate the existence of a blood microbial population, even in heathy subjects; and thirdly, to seek for a possible connection between the fecal and the blood microbiota. Limited researches have been published on blood microbiota in humans, and this is the first evidence of the presence of a bacterial population in the blood of dogs. Moreover, gut and blood microbiota can discriminate the animals by factors such as diet, suggesting some relationship between them. These preliminary results make us believe in the use of the blood microbiome for diagnostic purposes, such as researching and preventing gut inflammatory diseases

Trade-off between angular resolution and straylight contamination in CMB anisotropy experiments. II. Straylight evaluation

Satellite CMB anisotropy missions and new generation of balloon-borne and ground experiments, make use of complex multi-frequency instruments at the focus of a meter class telescope. Between 70 GHz and 300 GHz, where foreground contamination is minimum, it is extremely important to reach the best trade-off between the improvement of the angular resolution and the minimization of the straylight contamination mainly due to the Galactic emission. We focus here, as a working case, on the 30 and 100 GHz channels of the Planck Low Frequency Instrument (LFI). We evaluate the GSC introduced by the most relevant Galactic foreground components for a reference set of optical configurations. We show that it is possible to improve the angular resolution of 5-7% by keeping the overall GSC below the level of few microKelvin. A comparison between the level of straylight introduced by the different Galactic components for different beam regions is presented. Simple approximate relations giving the rms and peak-to-peak levels of the GSC are provided. We compare the results obtained at 100 GHz with those at 30 GHz, where GSC is more critical. Finally, we compare the results based on Galactic foreground templates derived from radio and IR surveys with those based on WMAP maps including CMB and extragalactic source fluctuations.Comment: Submitted to A&A. Quality of the figures was degraded for size-related reason