Derived bracket construction and Manin products

We will extend the classical derived bracket construction to any algebra over a binary quadratic operad. We will show that the derived product construction is a functor given by the Manin white product with the operad of permutation algebras. As an application, we will show that the operad of prePoisson algebras is isomorphic to Manin black product of the Poisson operad with the preLie operad. We will show that differential operators and Rota-Baxter operators are, in a sense, Koszul dual to each other.Comment: This is the final versio

Critical behavior at Mott-Anderson transition: a TMT-DMFT perspective

We present a detailed analysis of the critical behavior close to the Mott-Anderson transition. Our findings are based on a combination of numerical and analytical results obtained within the framework of Typical-Medium Theory (TMT-DMFT) - the simplest extension of dynamical mean field theory (DMFT) capable of incorporating Anderson localization effects. By making use of previous scaling studies of Anderson impurity models close to the metal-insulator transition, we solve this problem analytically and reveal the dependence of the critical behavior on the particle-hole symmetry. Our main result is that, for sufficiently strong disorder, the Mott-Anderson transition is characterized by a precisely defined two-fluid behavior, in which only a fraction of the electrons undergo a "site selective" Mott localization; the rest become Anderson-localized quasiparticles.Comment: 4+ pages, 4 figures, v2: minor changes, accepted for publication in Phys. Rev. Let

Distinct magnetic signatures of fractional vortex configurations in multiband superconductors

Vortices carrying fractions of a flux quantum are predicted to exist in multiband superconductors, where vortex core can split between multiple band-specific components of the superconducting condensate. Using the two-component Ginzburg-Landau model, we examine such vortex configurations in a two-band superconducting slab in parallel magnetic field. The fractional vortices appear due to the band-selective vortex penetration caused by different thresholds for vortex entry within each band-condensate, and stabilize near the edges of the sample. We show that the resulting fractional vortex configurations leave distinct fingerprints in the static measurements of the magnetization, as well as in ac dynamic measurements of the magnetic susceptibility, both of which can be readily used for the detection of these fascinating vortex states in several existing multiband superconductors.Comment: 5 pages, 4 figure

Variação genética em progênies de segunda geração de Araucaria angustifolia Bert. O. Ktze.

Resumo

Optimal vaccine allocation for the control of sexually transmitted infections

The burden of sexually transmitted infections (STIs) poses a challenge due to its large negative impact on sexual and reproductive health worldwide. Besides simple prevention measures and available treatment efforts, prophylactic vaccination is a powerful tool for controlling some viral STIs and their associated diseases. Here, we investigate how prophylactic vaccines are best distributed to prevent and control STIs. We consider sex-specific differences in susceptibility to infection, as well as disease severity outcomes. Different vaccination strategies are compared assuming distinct budget constraints that mimic a scarce vaccine stockpile. Vaccination strategies are obtained as solutions to an optimal control problem subject to a two-sex Kermack– McKendrick-type model, where the control variables are the daily vaccination rates for females and males. One important aspect of our approach relies on conceptualizing a limited but specific vaccine stockpile via an isoperimetric constraint. We solve the optimal control problem via Pontryagin’sMaximum Principle and obtain a numerical approximation for the solution using a modified version of the forward–backward sweep method that handles the isoperimetric budget constraint in our formulation. The results suggest that for a limited vaccine supply (20%–30%vaccination coverage), onesex vaccination, prioritizing females, appears to be more beneficial than the inclusion of both sexes into the vaccination program.Whereas, if the vaccine supply is relatively large (enough to reach at least 40% coverage), vaccinating both sexes, with a slightly higher rate for females, is optimal and provides an effective and faster approach to reducing the prevalence of the infection

Quantum Dissipation and Decoherence via Interaction with Low-Dimensional Chaos: a Feynman-Vernon Approach

We study the effects of dissipation and decoherence induced on a harmonic oscillator by the coupling to a chaotic system with two degrees of freedom. Using the Feynman-Vernon approach and treating the chaotic system semiclassically we show that the effects of the low dimensional chaotic environment are in many ways similar to those produced by thermal baths. The classical correlation and response functions play important roles in both classical and quantum formulations. Our results are qualitatively similar to the high temperature regime of the Caldeira-Leggett model.Comment: 31 pages, 4 figure

A conjugate for the Bargmann representation

In the Bargmann representation of quantum mechanics, physical states are mapped into entire functions of a complex variable z*, whereas the creation and annihilation operators $\hat{a}^\dagger$ and $\hat{a}$ play the role of multiplication and differentiation with respect to z*, respectively. In this paper we propose an alternative representation of quantum states, conjugate to the Bargmann representation, where the roles of $\hat{a}^\dagger$ and $\hat{a}$ are reversed, much like the roles of the position and momentum operators in their respective representations. We derive expressions for the inner product that maintain the usual notion of distance between states in the Hilbert space. Applications to simple systems and to the calculation of semiclassical propagators are presented.Comment: 15 page

Pasteurização do leite-do-amapá in natura para controle do escurecimento enzimático.

O extrato do amapazeiro (Brosimum parinarioides Ducke), conhecido como leite-do-amapá, é utilizado pelas populações amazônicas como fonte alimentar e medicinal. A rápida alteração de cor do látex após extração representa a presença de enzimas como polifenoloxidase (PPO) e peroxidase (POD), escurecendo o produto in natura e desqualificando-o para comercialização. Desse modo, este trabalho objetivou a avaliação da atividade das enzimas PPO e POD em três amostras de leite-do-amapá resfriadas a 8°C, coletadas em amapazeiros em Moju (PA), e onze amostras de leite-do-amapá após o processo de pasteurização em diversos binômios tempo/temperatura e posteriormente resfriadas a 8°C, visando à otimização da conservação do produto in natura. Após resfriamento a 8°C, as amostras de leite-do-amapá in natura apresentaram diferença significativa entre os valores de atividade da enzima POD e, posteriormente observou-se elevação dessa atividade durante os períodos de tempo analisados. Como também se observou atividade da enzima PPO nas mesmas amostras, constata-se que esse tipo de conservação não foi efi ciente para as enzimas POD e PPO para leite-do-amapá. As amostras pasteurizadas de leitedo-amapá, e posteriormente resfriadas, apresentaram atividades das enzimas POD e PPO significativamente diferenciadas da respectiva amostra controle (sem pasteurização), concluindo que a pasteurização nos binômios estudados, aliada ao resfriamento, foi eficaz na diminuição da atividade das enzimas peroxidase e polifenoloxidase, alcançando-se a inativação destas, podendo ser um processo potencial para conservação desse produto