Coarsening dynamics in one dimension: The phase diffusion equation and its numerical implementation

Many nonlinear partial differential equations (PDEs) display a coarsening dynamics, i.e., an emerging pattern whose typical length scale $L$ increases with time. The so-called coarsening exponent $n$ characterizes the time dependence of the scale of the pattern, $L(t)\approx t^n$, and coarsening dynamics can be described by a diffusion equation for the phase of the pattern. By means of a multiscale analysis we are able to find the analytical expression of such diffusion equations. Here, we propose a recipe to implement numerically the determination of $D(\lambda)$, the phase diffusion coefficient, as a function of the wavelength $\lambda$ of the base steady state $u_0(x)$. $D$ carries all information about coarsening dynamics and, through the relation $|D(L)| \simeq L^2 /t$, it allows us to determine the coarsening exponent. The main conceptual message is that the coarsening exponent is determined without solving a time-dependent equation, but only by inspecting the periodic steady-state solutions. This provides a much faster strategy than a forward time-dependent calculation. We discuss our method for several different PDEs, both conserved and not conserved

insights on pro environmental behavior towards post carbon society

Abstract The increasing phenomena related to urbanization and human impact on landscape leads to re-think the future of the cities. As well as in buildings, a careful design, the use of renewable sources and the use of advanced technical solutions, to achieve a significant energy savings, are strategies not sufficient to define a "Post-Carbon city" or a "Post-Carbon building". It is necessary that the citizen/occupant become a "Post-Carbon society", i.e. they pursue conscious lifestyle marked on energy saving principles. This suggest that the occupant's behaviour plays a fundamental role. In fact, many studies have shown that the human behaviour influences, mainly, the energy performance, explaining, in this way, the discrepancy gap between predicted and real consumptions. Since human behaviour is, in large part, influenced by several factors, a behavioural change towards sustainable lifestyle is desirable and this is possible, for examples, by providing to users feedback and information on comfort condition and energy use. The main goal of this research is to identify the pro-environmental behaviour by a questionnaire survey. Specifically, the structure of the survey will be described in this paper and the main results presented

A Rare Case of Hodgkin Lymphoma of the Maxillary Sinus.

Hodgkin lymphoma (HL) is an uncommon B-cell malignant disease. It usually presents with mediastinal and/or laterocervical lymph node localization, while primary extranodal HL is a rare entity giving rise to diagnostic and therapeutic challenges. It rarely presents as just extranodal localization, so its presence within the maxillary sinus without any lymphadenopathy is exceptional. Given the rarity of this localization, there is no standard treatment for maxillary sinus HL. We present a case of a patient with extranodal HL of the right maxillary sinus treated with primary surgery followed by adjuvant sequential chemoradiation therapy

Estimation of Thermodynamic Observables in Lattice Field Theories with Deep Generative Models

In this work, we demonstrate that applying deep generative machine learning models for lattice field theory is a promising route for solving problems where Markov Chain Monte Carlo (MCMC) methods are problematic. More specifically, we show that generative models can be used to estimate the absolute value of the free energy, which is in contrast to existing MCMC-based methods which are limited to only estimate free energy differences. We demonstrate the effectiveness of the proposed method for two-dimensional $\phi^4$ theory and compare it to MCMC-based methods in detailed numerical experiments.Comment: 8 figure

Plasma and Skin Concentration of 5-Methoxypsoralen in Psoriatic Patients After Oral Administration

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Design and application of a novel PNA probe for the detection at single cell level of JAK2V617F mutation in Myeloproliferative Neoplasms

BACKGROUND: Mutation(s) of the JAK2 gene (V617F) has been described in a significant proportion of Philadelphia negative Myeloproliferative Neoplasms (MPN) patients and its detection is now a cornerstone in the diagnostic algorithm. METHODS: We developed a novel assay based on peptide nucleic acid (PNA) technology coupled to immuno-fluorescence microscopy (PNA-FISH) for the specific detection at a single cell level of JAK2-mutation thus improving both the diagnostic resolution and the study of clonal prevalence. RESULTS: Using this assay we found a percentage of mutated CD34+ cells ranging from 40% to 100% in Polycythemia Vera patients, from 15% to 80% in Essential Thrombocythemia and from 25% to 100% in Primary Myelofibrosis. This method allows to distinguish, with a high degree of specificity, at single cell level, between CD34+ progenitor stem cells harbouring the mutated or the wild type form of JAK2 in NPM patients. CONCLUSIONS: This method allows to identify multiple gene abnormalities which will be of paramount relevance to understand the pathophysiology and the evolution of any type of cancer