The diffusion coefficient of propagating fronts with multiplicative noise

Recent studies have shown that in the presence of noise both fronts propagating into a metastable state and so-called pushed fronts propagating into an unstable state, exhibit diffusive wandering about the average position. In this paper we derive an expression for the effective diffusion coefficient of such fronts, which was motivated before on the basis of a multiple scale ansatz. Our systematic derivation is based on the decomposition of the fluctuating front into a suitably positioned average profile plus fluctuating eigenmodes of the stability operator. While the fluctuations of the front position in this particular decomposition are a Wiener process on all time scales, the fluctuations about the time averaged front profile relax exponentially.Comment: 4 page

Critical points of the Black-Hole potential for homogeneous special geometries

We extend the analysis of N=2 extremal Black-Hole attractor equations to the case of special geometries based on homogeneous coset spaces. For non-BPS critical points (with non vanishing central charge) the (Bekenstein-Hawking) entropy formula is the same as for symmetric spaces, namely four times the square of the central charge evaluated at the critical point. For non homogeneous geometries the deviation from this formula is given in terms of geometrical data of special geometry in presence of a background symplectic charge vector.Comment: 17 pages, LaTeX fil

THE EFFECT OF CYTOTOXIC AGENTS ON THE PRIMARY IMMUNE RESPONSE TO LISTERIA MONOCYTOGENES

Four drugs, representing four different categories of cytotoxic agents, were studied for their effect on the immune response to Listeria infection in mice. The development of the host's immune response is revealed by a progressive change in the slope of the bacterial growth curve in spleen and liver. It has its onset at 24 hr in untreated mice, but in the presence of effective immunosuppression the organism multiples uninterruptedly until the animal dies from overwhelming infection. When administered as single injections at the time of infection, cyclophosphamide, vinblastine, and azathioprine all produced an effective immunosuppression, characterized by continuous bacterial multiplication. Methotrexate was also immunosuppressive, but unlike the others its effects were reversible. They could be sustained, however, by further treatment. Studies of the time-response relationship indicated that cyclophosphamide was highly active over a broad time-span ranging from 2 days before infection to 4 days after infection. Vinblastine on the other hand was maximally active when given on the day of infection, while methotrexate had its greatest effect when given 48 hr after infection. These differences indicate that these three drugs act on different cell populations involved in the host's immune response. The effects observed have been discussed in relation to what is known of the modes of action of the drugs tested. An observation of interest was the phenomenon of enhanced immunity in animals treated with cyclophosphamide or vinblastine 7–11 days before, and with methotrexate 4 days before infection; reactive hyperplasia of lymphoid tissue following withdrawal of drug was again advanced as an explanation for the occurrence of this paradoxical effect. The experimental model employed is simple, requiring only routine bacteriological facilities and minimal equipment. It seems to offer a useful means of assessing the immunosuppressive activity of drugs and of determining the time-course of their action; it could also be of value in the screening of anticancer agents

Energy and momentum of Bianchi Type VI_h Universes

We obtain the energy and momentum of the Bianchi type VI_h universes using different prescriptions for the energy-momentum complexes in the framework of general relativity. The energy and momentum of the Bianchi VI_h universe are found to be zero for the parameter h = -1 of the metric. The vanishing of these results support the conjecture of Tryon that Universe must have a zero net value for all conserved quantities.This also supports the work of Nathan Rosen with the Robertson-Walker metric. Moreover, it raises an interesting question: "Why h=-1 case is so special?

Roughness of Sandpile Surfaces

We study the surface roughness of prototype models displaying self-organized criticality (SOC) and their noncritical variants in one dimension. For SOC systems, we find that two seemingly equivalent definitions of surface roughness yields different asymptotic scaling exponents. Using approximate analytical arguments and extensive numerical studies we conclude that this ambiguity is due to the special scaling properties of the nonlinear steady state surface. We also find that there is no such ambiguity for non-SOC models, although there may be intermediate crossovers to different roughness values. Such crossovers need to be distinguished from the true asymptotic behaviour, as in the case of a noncritical disordered sandpile model studied in [10].Comment: 5 pages, 4 figures. Accepted for publication in Phys. Rev.

Hopping motion of lattice gases through nonsymmetric potentials under strong bias conditions

The hopping motion of lattice gases through potentials without mirror-reflection symmetry is investigated under various bias conditions. The model of 2 particles on a ring with 4 sites is solved explicitly; the resulting current in a sawtooth potential is discussed. The current of lattice gases in extended systems consisting of periodic repetitions of segments with sawtooth potentials is studied for different concentrations and values of the bias. Rectification effects are observed, similar to the single-particle case. A mean-field approximation for the current in the case of strong bias acting against the highest barriers in the system is made and compared with numerical simulations. The particle-vacancy symmetry of the model is discussed.Comment: 8 pages (incl. 6 eps figures); RevTeX 3.

Study of dry coal beneficiation in an Air pulsated Stratifier

Coal keeps on doing a noteworthy job in the economic development of a country, particularly in metallurgical industries and power generation sectors. Coal is currently beneficiated predominantly in wet condition. The conventional methods for processing of coarse coal like heavy media bath, jigging etc. utilizes water. In the near future, coal resource and water resource is going to have a reverse distribution thus posing several hurdles to wet beneficiation technologies in coal cleaning. Thus, it is exigent to develop efficient dry beneficiation technology for coal. This paper presents a summarized assessment of performance of an Air Pulsated Stratifier with particular reference to Indian Coal. The study was carried out on coal samples having ash in the range of 30-33%. Response parameters considered for this study were ash reduction and yield of clean coal. Results are found to be encouraging as the experimental trials resulted in absolute reduction of Ash percentage in the range of 7-9% in single stage