The anisotropic Ashkin-Teller model: a renormalization group study

The two-dimensional ferromagnetic anisotropic Ashkin-Teller model is investigated through a real-space renormalization-group approach. The critical frontier, separating five distinct phases, recover all the known exacts results for the square lattice. The correlation length $(\nu_T)$ and crossover $(\phi)$ critical exponents are also calculated. With the only exception of the four-state Potts critical point, the entire phase diagram belongs to the Ising universality class.Comment: 3 ps figures, accepted for publication in Physica

Universality and scaling study of the critical behavior of the two-dimensional Blume-Capel model in short-time dynamics

In this paper we study the short-time behavior of the Blume-Capel model at the tricritical point as well as along the second order critical line. Dynamic and static exponents are estimated by exploring scaling relations for the magnetization and its moments at early stage of the dynamic evolution. Our estimates for the dynamic exponents, at the tricritical point, are $z= 2.215(2)$ and $\theta= -0.53(2)$.Comment: 12 pages, 9 figure

Short-Range Ising Spin Glass: Multifractal Properties

The multifractal properties of the Edwards-Anderson order parameter of the short-range Ising spin glass model on d=3 diamond hierarchical lattices is studied via an exact recursion procedure. The profiles of the local order parameter are calculated and analysed within a range of temperatures close to the critical point with four symmetric distributions of the coupling constants (Gaussian, Bimodal, Uniform and Exponential). Unlike the pure case, the multifractal analysis of these profiles reveals that a large spectrum of the $\alpha$-H\"older exponent is required to describe the singularities of the measure defined by the normalized local order parameter, at and below the critical point. Minor changes in these spectra are observed for distinct initial distributions of coupling constants, suggesting an universal spectra behavior. For temperatures slightly above T_{c}, a dramatic change in the $F(\alpha)$ function is found, signalizing the transition.Comment: 8 pages, LaTex, PostScript-figures included but also available upon request. To be published in Physical Review E (01/March 97

Universal scaling behavior of non-equilibrium phase transitions

One of the most impressive features of continuous phase transitions is the concept of universality, that allows to group the great variety of different critical phenomena into a small number of universality classes. All systems belonging to a given universality class have the same critical exponents, and certain scaling functions become identical near the critical point. It is the aim of this work to demonstrate the usefulness of universal scaling functions for the analysis of non-equilibrium phase transitions. In order to limit the coverage of this article, we focus on a particular class of non-equilibrium critical phenomena, the so-called absorbing phase transitions. These phase transitions arise from a competition of opposing processes, usually creation and annihilation processes. The transition point separates an active phase and an absorbing phase in which the dynamics is frozen. A systematic analysis of universal scaling functions of absorbing phase transitions is presented, including static, dynamical, and finite-size scaling measurements. As a result a picture gallery of universal scaling functions is presented which allows to identify and to distinguish universality classes.Comment: review article, 160 pages, 60 figures include

ICAR: endoscopic skull‐base surgery

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Update on detection, morphology and fragility in pili annulati in three kindreds.

BACKGROUND: Pili annulati is an inherited hair shaft abnormality with a wide range of clinical expression. OBJECTIVE: We have examined closely three kindreds to reveal levels and character of expression of the phenotype and supplement current literature on the threshold for detection and aspects of hair shaft fragility. PATIENTS AND METHODS: Eleven cases of pili annulati from three families were included in a clinical and morphological study. All cases were assessed clinically and by light and scanning electron microscopy (SEM) of hair shafts. In addition, transmission electron microscopy (TEM) (four patients) and amino acid analysis (three patients) were undertaken on clinically overt cases. Results Examination by light microscopy with a fluid mountant was more sensitive than clinical examination, increasing the detection rate by 120%. Microscopic examination revealed that the characteristic periodic bands become less frequent distally in the hair shaft. Microscopic features of weathering were found in two cases, adding pili annulati to the list of structural hair shaft dystrophies that may weaken hair and dispose to weathering. Amino acid analysis of the hair of three patients with pili annulati showed elevated lysine and decreased cystine content compared to 12 normal controls, consistent with the reduced threshold for weathering. CONCLUSION: Careful light microscopy with fluid-mounted hair is needed to detect subjects mildly affected by pili annulati. Expression of the phenotype varies widely between individuals, between hairs and within hairs of the same individual, where ageing of the hair diminishes detectable features

Cytokeratin expression in pili annulati hair follicles.

Pili annulati is a rare autosomal inherited hair shaft abnormality of unknown pathogenesis in which clinical examination reveals alternating light and dark bands leading to a shiny appearance of the hair due to cavities within the cortex of the hair shaft. This is the first investigation of the proposed cytokeratin defect in pili annulati hair follicles. Four cryopreserved pili annulati and four control scalp specimens were analysed using immunohistochemistry for different 'hard' trichocytic and 'soft' epithelial cytokeratins including K1, K6, K10, K14, K16, K17, K18, K19, Ha1 and Hb1. There was no difference in staining intensity and quality of staining pattern seen in pili annulati and control scalp specimens. These results suggest that pili annulati is not caused by a defect of the cytokeratins investigated in this study