Energy decay for the damped wave equation under a pressure condition

We establish the presence of a spectral gap near the real axis for the damped wave equation on a manifold with negative curvature. This results holds under a dynamical condition expressed by the negativity of a topological pressure with respect to the geodesic flow. As an application, we show an exponential decay of the energy for all initial data sufficiently regular. This decay is governed by the imaginary part of a finite number of eigenvalues close to the real axis.Comment: 32 page

Delocalization of slowly damped eigenmodes on Anosov manifolds

We look at the properties of high frequency eigenmodes for the damped wave equation on a compact manifold with an Anosov geodesic flow. We study eigenmodes with spectral parameters which are asymptotically close enough to the real axis. We prove that such modes cannot be completely localized on subsets satisfying a condition of negative topological pressure. As an application, one can deduce the existence of a "strip" of logarithmic size without eigenvalues below the real axis under this dynamical assumption on the set of undamped trajectories.Comment: 28 pages; compared with version 1, minor modifications, add two reference

Activity enhancement of ligninolytic enzymes of Trametes versicolor with bagasse powder

Suspended cultures of white-rot fungus, Trametes versicolor, supplemented with bagasse powder showed a concentration dependent enhancement in the ligninolytic enzymes activity in liquid shake cultures. 2% (w/v) bagasse powder improved greater stability to the enzymes. The optimum pH is 3.5 and the optimum temperature is 40°C for maximum lignonolytic enzymatic activity. The optimum shaking speed is 60 rpm for maximum enzymatic activity. The maximum enzymatic activity showed by T. versicolor is 495, 440 and 410 mmol/ml.min for LiP, MnP and laccase with bagasse powder at optimum conditions, respectively. Without bagasse powder at optimum conditions, the maximum enzymatic activity for LiP, MnP and laccase is 195, 150 and 170 mmol/ml.min, respectively.Keywords: Bagasse, enhancement, enzymes, optimum, white-rot fungu

Some open questions in "wave chaos"

The subject area referred to as "wave chaos", "quantum chaos" or "quantum chaology" has been investigated mostly by the theoretical physics community in the last 30 years. The questions it raises have more recently also attracted the attention of mathematicians and mathematical physicists, due to connections with number theory, graph theory, Riemannian, hyperbolic or complex geometry, classical dynamical systems, probability etc. After giving a rough account on "what is quantum chaos?", I intend to list some pending questions, some of them having been raised a long time ago, some others more recent

Entropy of semiclassical measures for nonpositively curved surfaces

We study the asymptotic properties of eigenfunctions of the Laplacian in the case of a compact Riemannian surface of nonpositive sectional curvature. We show that the Kolmogorov-Sinai entropy of a semiclassical measure for the geodesic flow is bounded from below by half of the Ruelle upper bound. We follow the same main strategy as in the Anosov case (arXiv:0809.0230). We focus on the main differences and refer the reader to (arXiv:0809.0230) for the details of analogous lemmas.Comment: 20 pages. This note provides a detailed proof of a result announced in appendix A of a previous work (arXiv:0809.0230, version 2

Semiclassical measures and the Schroedinger flow on Riemannian manifolds

In this article we study limits of Wigner distributions (the so-called semiclassical measures) corresponding to sequences of solutions to the semiclassical Schroedinger equation at times scales $\alpha_{h}$ tending to infinity as the semiclassical parameter $h$ tends to zero (when $\alpha _{h}=1/h$ this is equivalent to consider solutions to the non-semiclassical Schreodinger equation). Some general results are presented, among which a weak version of Egorov's theorem that holds in this setting. A complete characterization is given for the Euclidean space and Zoll manifolds (that is, manifolds with periodic geodesic flow) via averaging formulae relating the semiclassical measures corresponding to the evolution to those of the initial states. The case of the flat torus is also addressed; it is shown that non-classical behavior may occur when energy concentrates on resonant frequencies. Moreover, we present an example showing that the semiclassical measures associated to a sequence of states no longer determines those of their evolutions. Finally, some results concerning the equation with a potential are presented.Comment: 18 pages; Theorems 1,2 extendend to deal with arbitrary time-scales; references adde

Padina boergessenii ameliorates carbon tetrachloride induced nephrotoxicity in Wistar rats

AbstractThis research investigates the ameliorative effect of brown alga Padina boergessenii against CCl4-induced nephrotoxicity in rats. Twenty-four Wistar albino rats were divided into four groups as follows: control group (saline), CCl4 group, CCl4+P. boergessenii extract group and P. boergessenii extract alone group. At the end of the experimental period, the animals are sacrificed and tissue samples (kidney) were collected. CCl4 at a dose of 2mL/kg, administered subcutaneously, produced significantly decreased activities of glutathione peroxidase (GSH-Px), superoxide dismutase (SOD), and catalase (CAT). Histopathological examinations showed massive centrilobular necrosis and fat accumulation in CCl4-induced animals. In the protective test, especially in animals pretreated with P. boergessenii (150mg/kg) extract, there was a significant increase in antioxidant enzyme levels although there was no sign of abnormality in the kidney of rats pretreated with extract as evidenced by histopathological sections against CCl4-induced decrease of lipid peroxidation (TBARS). The ameliorative effect may be due to the presence of various bioactive compounds in alga. These results suggest that an extract of P. boergessenii is able to significantly alleviate the nephrotoxicity induced by CCl4 in Wistar rats

Organizational factors and total quality management - an empirical study

The level of awareness of Total Quality Management (TQM) has increased considerably over the last few years. Different sets of organizational requirements are prescribed by quality management gurus and practitioners for the effective practice of TQM. These requirements do not seem to have been formulated on the basis of systematic empirical research. Many researchers point out that tacit factors, e.g. employee empowerment, open culture and executive commitment, and not TQM tools and techniques alone, could drive TQM success, and that organizations would need to acquire these factors to stay successful. Many TQM advocates have also suggested that a conducive organizational environment would be essential for an effective practice of TQM. However, they did not offer any empirical evidence. There appears to be no empirical study reported in the literature that could establish a relation between TQM and organizational factors. The objective of this paper is to describe an empirical research on TQM conducted in Indian business units carried out recently by considering some organizational factors, e.g. quality of work life, organizational climate and communication. The methodology and findings are discussed in detail