2,888 research outputs found

    Wigner surmise for Hermitian and non-Hermitian Chiral random matrices

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    We use the idea of a Wigner surmise to compute approximate distributions of the first eigenvalue in chiral Random Matrix Theory, for both real and complex eigenvalues. Testing against known results for zero and maximal non-Hermiticity in the microscopic large-N limit we find an excellent agreement, valid for a small number of exact zero-eigenvalues. New compact expressions are derived for real eigenvalues in the orthogonal and symplectic classes, and at intermediate non-Hermiticity for the unitary and symplectic classes. Such individual Dirac eigenvalue distributions are a useful tool in Lattice Gauge Theory and we illustrate this by showing that our new results can describe data from two-colour QCD simulations with chemical potential in the symplectic class

    Spin-dependent electron-hole capture kinetics in conjugated polymers

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    The recombination of electron-hole pairs injected in extended conjugated systems is modeled as a multi-pathway vibron-driven relaxation in monoexcited state-space. The computed triplet-to-singlet ratio of exciton formation times r=τT/τSr = \tau_T/\tau_S increases from 0.9 for a model dimer to 2.5 for a 32-unit chain, in excellent agreement with experiments. Therewith we rationalize recombination efficiency in terms of spin-dependent interstate vibronic coupling and spin- and conjugation-length-dependent exciton binding energies.Our model calculations for various length polymers indicate that the ratio of the singlet to triplet formation ratios, r=σS/σTr = \sigma_S/\sigma_T, is inversely related to the ratio of the singlet and triplet binding energies, ϵSb/ϵTb\epsilon^b_S/\epsilon^b_T

    Scattering Experiments with Microwave Billiards at an Exceptional Point under Broken Time Reversal Invariance

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    Scattering experiments with microwave cavities were performed and the effects of broken time-reversal invariance (TRI), induced by means of a magnetized ferrite placed inside the cavity, on an isolated doublet of nearly degenerate resonances were investigated. All elements of the effective Hamiltonian of this two-level system were extracted. As a function of two experimental parameters, the doublet and also the associated eigenvectors could be tuned to coalesce at a so-called exceptional point (EP). The behavior of the eigenvalues and eigenvectors when encircling the EP in parameter space was studied, including the geometric amplitude that builds up in the case of broken TRI. A one-dimensional subspace of parameters was found where the differences of the eigenvalues are either real or purely imaginary. There, the Hamiltonians were found PT-invariant under the combined operation of parity (P) and time reversal (T) in a generalized sense. The EP is the point of transition between both regions. There a spontaneous breaking of PT occurs

    Use of Yeast Lysate in Women with Recurrent Vulvovaginal Candidiasis

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    AbstractVulvovaginal candidiasis (VVC) affects a significant number of women, especially in working age. In an estimated 75% of women an episode of acute vulvovaginal candidiasis occurs during lifetime and another 5–10% of women develop recurrent vulvovaginal candidiasis (RVVC). This is mainly characterized by intense burning, itching, pain, abnormal discharge, dyspareunia. Immune response to candidiasis is both cellular (CMI) (natural protection mechanisms) and humoral (antibody production). Understanding the principles of immunity in candidiasis is also important for development of candida vaccines.CANDIVAC contains lyophilized Candida lysate (C. albicans, C. krusei, C. glabrata) together with immunostimulatory bacterial strain of Propionibacterium acnes. The product is taken orally in capsules for 10 days followed by a 20-day pause. It is administered for 3 to 6 months. The product has been tested in a total of 75 women at the age of 18–45 years. In these women at least 4 episodes of vulvovaginal candidiasis have been microscopically or laboratory diagnosed during the last 12 months. Following CANDIVAC administration, statistically significant changes occurred in the evaluation of subjective and some objective criteria. The most important marker of product efficiency is a significant reduction in recurrence compared to the recent state. This criterion has a fundamental importance in patient satisfaction. Before medication the patients suffered from at least 4 attacks, while after medication an attack occurred in only 31% of women and more than 2 attacks in only 3% of treated women.Compromised balance of immune system plays a major role in recurrent vulvovaginal candidiasis. Specific oral product CANDIVAC, prepared from the most common strains of yeast infections, supports immune mechanisms, ensuring resistance of the human organism against yeasts. Its administration significantly prolongs remission, leads to a reduction in application of antimycotics and also changes properties of cellular and humoral immunity in medicated patients
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