Logarithmic two-point correlators in the Abelian sandpile model

We present the detailed calculations of the asymptotics of two-site correlation functions for height variables in the two-dimensional Abelian sandpile model. By using combinatorial methods for the enumeration of spanning trees, we extend the well-known result for the correlation $\sigma_{1,1} \simeq 1/r^4$ of minimal heights $h_1=h_2=1$ to $\sigma_{1,h} = P_{1,h}-P_1P_h$ for height values $h=2,3,4$. These results confirm the dominant logarithmic behaviour $\sigma_{1,h} \simeq (c_h\log r + d_h)/r^4 + {\cal O}(r^{-5})$ for large $r$, predicted by logarithmic conformal field theory based on field identifications obtained previously. We obtain, from our lattice calculations, the explicit values for the coefficients $c_h$ and $d_h$ (the latter are new).Comment: 28 page

Abelian Sandpile Model on the Honeycomb Lattice

We check the universality properties of the two-dimensional Abelian sandpile model by computing some of its properties on the honeycomb lattice. Exact expressions for unit height correlation functions in presence of boundaries and for different boundary conditions are derived. Also, we study the statistics of the boundaries of avalanche waves by using the theory of SLE and suggest that these curves are conformally invariant and described by SLE2.Comment: 24 pages, 5 figure

Three-leg correlations in the two component spanning tree on the upper half-plane

We present a detailed asymptotic analysis of correlation functions for the two component spanning tree on the two-dimensional lattice when one component contains three paths connecting vicinities of two fixed lattice sites at large distance $s$ apart. We extend the known result for correlations on the plane to the case of the upper half-plane with closed and open boundary conditions. We found asymptotics of correlations for distance $r$ from the boundary to one of the fixed lattice sites for the cases $r\gg s \gg 1$ and $s \gg r \gg 1$.Comment: 16 pages, 5 figure

Non-perturbative dynamics of hot non-Abelian gauge fields: beyond leading log approximation

Many aspects of high-temperature gauge theories, such as the electroweak baryon number violation rate, color conductivity, and the hard gluon damping rate, have previously been understood only at leading logarithmic order (that is, neglecting effects suppressed only by an inverse logarithm of the gauge coupling). We discuss how to systematically go beyond leading logarithmic order in the analysis of physical quantities. Specifically, we extend to next-to-leading-log order (NLLO) the simple leading-log effective theory due to Bodeker that describes non-perturbative color physics in hot non-Abelian plasmas. A suitable scaling analysis is used to show that no new operators enter the effective theory at next-to-leading-log order. However, a NLLO calculation of the color conductivity is required, and we report the resulting value. Our NLLO result for the color conductivity can be trivially combined with previous numerical work by G. Moore to yield a NLLO result for the hot electroweak baryon number violation rate.Comment: 20 pages, 1 figur

Observational study of pimecrolimus 1% cream for prevention of transcutaneous sensitization in children with atopic dermatitis during their first year of life

IntroductionEpidermal barrier dysfunction in children with atopic dermatitis can cause transcutaneous sensitization to allergens and allergic diseases. We evaluated the effectiveness of an early-intervention algorithm for atopic dermatitis treatment, utilizing pimecrolimus for long-term maintenance therapy, in reducing transcutaneous sensitization in infants.MethodThis was a single-center cohort observational study that enrolled children aged 1-4 months with family history of allergic diseases, moderate-to-severe atopic dermatitis, and sensitization to ≥ 1 of the investigated allergens. Patients who sought medical attention at atopic dermatitis onset (within 10 days) were group 1 “baseline therapy with topical glucocorticoids with subsequent transition to pimecrolimus as maintenance therapy”; patients who sought medical attention later were group 2 “baseline and maintenance therapy with topical glucocorticoids, without subsequent use of pimecrolimus”. Sensitization class and level of allergen-specific immunoglobulin E were determined at baseline, and 6 and 12 months of age. Atopic dermatitis severity was evaluated using the Eczema Area and Severity Index score at baseline and 6, 9 and 12 months of age.ResultsFifty-six and 52 patients were enrolled in groups 1 and 2, respectively. Compared with group 2, group 1 demonstrated a lower level of sensitization to cow's milk protein, egg white and house dust mite allergen at 6 and 12 months of age, and a more pronounced decrease in atopic dermatitis severity at 6, 9 and 12 months of age. No adverse events occurred.DiscussionThe pimecrolimus-containing algorithm was effective in treating atopic dermatitis and prophylaxis of early forms of allergic diseases in infants.Trial registrationhttps://clinicaltrials.gov/NCT04900948, retrospectively registered, 25 May 2021

Description of children’s static coordination disorders with residual conditions of central nervous system affliction

The article deals with the results of research into the state of vestibular component of the statokinetic system of 3- to 9-year-old children with residual conditions of perinatal central nervous system affliction (PCNSA). It was established that static coordination disorders were present in 33.1 % of the observed patients. The frequency and nature of the diagnosed vestibular system disorders were proved to increase relatively to severity of residual conditions of PCNSA.В статье приводятся результаты исследования состояния статокинетической системы у детей 3-9 лет с резидуальными явлениями перинатального поражения центральной нервной системы (ППЦНС). Установлено, что стато-координационные нарушения выявляются у 33,1 % наблюдаемых больных. Показано, что частота и характер выявленных вестибулярных расстройств нарастает параллельно тяжести резидуальных явлений ППЦНС

Факторы риска формирования гастроэнтерологической патологии после инфекционных гемоколитов у детей

The aim of the study was to determine the risk factors for the formation of gastroenterological pathology in convalescents of infectious hemocolites. In the Department of intestinal infections, 120 children aged over 1 month who had intestinal infections with hemocolitis syndrome were observed. The etiology of the disease was verified, clinical and laboratory signs of intoxication, dehydration, local and systemic inflammatory response were detected. Non-specific complications (respiratory diseases, urinary tract infection) were diagnosed. In the acute period of the disease, the composition of the intestinal microbiota was evaluated by PCR-RT. During 6 months, 65 convalescents were observed in the catamnesis. If there were complaints from the gastrointestinal tract, functional gastrointestinal disorders (FGID) were diagnosed. When «symptoms of anxiety» appeared, organic intestinal lesions were detected. When «symptoms of anxiety» appeared, organic intestinal lesions were detected. The results were evaluated using the student's test, the Mann-Whitney U-test, the Kruskal-Wallis test, the Pearson correlation method, and discriminant analysis. Studies have shown that there were 43 children with a favorable outcome (66.2%), 17 children with FGID (26.1%), and 5 children with organic intestinal lesions (7.7%). In patients who formed organic lesions, the bacterial etiology of hemocolitis was more often noted. Gastroenterocolitis was more often diagnosed in patients with a favorable outcome (41.9%; p > 0,05). Non-specific complications were more often observed in patients who formed FGID and organic lesions. The frequency of FGID decreased with age and was higher in girls (58.8%) than in boys (41.2%) (p > 0,05). Organic intestinal lesions were observed only in girls. In convalescents with FGID, more often (83.3%) than in convalescents with a favorable outcome (64.3%), signs of anaerobic intestinal imbalance were detected. A complex of clinical and laboratory signs of an acute period of infectious hemocolites that determine the risk of FGID formation has been established. It was shown that the risk of developing FGID is higher in young convalescents, and the risk of forming organic intestinal lesions is higher in girls of preschool and school age. Patients who showed more pronounced systemic inflammatory responses in the acute period of the disease were more likely to have a favorable outcome.Цель исследования — определение факторов риска формирования гастроэнтерологической патологии у реконвалесцентов инфекционных гемоколитов. В отделении кишечных инфекций наблюдали 120 детей в возрасте старше 1 месяца, переносивших кишечные инфекции с синдромом гемоколита. Верифицировали этиологию заболевания, выявляли клинико-лабораторные признаки синдромов интоксикации, обезвоживания, местного и системного воспалительного ответа. Диагностировали неспецифические осложнения (респираторные заболевания, инфекцию мочевых путей). В остром периоде заболевания оценивали состав микробиоты кишечника методом ПЦР-РВ. В катамнезе в течение 6 месяцев наблюдали 65 реконвалесцентов. При наличии жалоб со стороны желудочно-кишечного тракта диагностировали функциональные гастроинтестинальные расстройства (ФГИР). При появлении «симптомов тревоги» выявляли органические поражения кишечника. При оценке результатов использовали критерий Стьюдента, U-критерий Манна-Уитни, критерий Краскела-Уоллиса, метод корреляции Пирсона, дискриминантный анализ. Исследования показали, что детей с благоприятным исходом было 43 (66,2%); детей, сформировавших ФГИР — 17 (26,1%), детей с органическими поражениями кишечника — 5 (7,7%). У пациентов, сформировавших органические поражения, чаще отмечали бактериальную этиологию гемоколита. Гастроэнтероколит чаще диагностировали у пациентов, имевших благоприятный исход (41,9%; p > 0,05). Неспецифические осложнения чаще отмечали у пациентов, сформировавших ФГИР и органические поражения. Частота ФГИР с возрастом снижалась, была выше у девочек (58,8%), чем у мальчиков (41,2%) (p > 0,05). Органические поражения кишечника отмечали только у девочек. У реконвалесцентов с ФГИР, чаще (83,3%), чем у реконвалесцентов с благоприятным исходом (64,3%) выявляли признаки анаэробного дисбаланса кишечника. Установлен комплекс клинико-лабораторных признаков острого периода инфекционных гемоколитов, определяющих риск формирования ФГИР. Показано, что риск развития ФГИР выше у реконвалесцентов раннего возраста, а риск формирования органических поражений кишечника выше у девочек дошкольного и школьного возраста. Пациенты, демонстрировавшие в остром периоде заболевания более выраженные реакции системного воспалительного ответа, чаще имели благоприятный исход

Lattice Chern-Simons Number Without Ultraviolet Problems

We develop a topological method of measuring Chern-Simons number change in the real time evolution of classical lattice SU(2) and SU(2) Higgs theory. We find that the Chern-Simons number diffusion rate per physical 4-volume is very heavily suppressed in the broken phase, and that it decreases with lattice spacing in pure Yang-Mills theory, although not as quickly as predicted by Arnold, Son, and Yaffe.Comment: 26 pages including 6 figures, uses psfig. Corrected for an algebra error in the original draft of hep-lat/9610013; minor rewriting and more analysi

Specific heat and heat conductivity of the BaTiO3 polycrystalline films with the thickness in the range 20 - 1100 nm

Thermal properties - specific heat and heat conductivity coefficient - of polycrystalline BaTiO3 films on massive substrates were studied as a function of the temperature and the film thickness by ac-hot probe method. The anomalies of specific heat with decreasing of the film thickness from 1100 to 20 nm revealed the reducing of critical temperature (Tc) and excess entropy of the ferroelectric phase transition, which becomes diffused. The critical thickness of the film at which Tc = 0 estimated as 2.5 nm.Comment: 12 pages, 7 figures, 2 tables, 450kb; submitted to J.Phys.:Cond.Mat

Two-dimensional spanning webs as (1,2) logarithmic minimal model

A lattice model of critical spanning webs is considered for the finite cylinder geometry. Due to the presence of cycles, the model is a generalization of the known spanning tree model which belongs to the class of logarithmic theories with central charge $c=-2$. We show that in the scaling limit the universal part of the partition function for closed boundary conditions at both edges of the cylinder coincides with the character of symplectic fermions with periodic boundary conditions and for open boundary at one edge and closed at the other coincides with the character of symplectic fermions with antiperiodic boundary conditions.Comment: 21 pages, 3 figure