6,293 research outputs found

    Front propagation in an exclusion one-dimensional reactive dynamics

    Full text link
    We consider an exclusion process representing a reactive dynamics of a pulled front on the integer lattice, describing the dynamics of first class XX particles moving as a simple symmetric exclusion process, and static second class YY particles. When an XX particle jumps to a site with a YY particle, their position is intechanged and the YY particle becomes an XX one. Initially, there is an arbitrary configuration of XX particles at sites ...,1,0..., -1,0, and YY particles only at sites 1,2,...1,2,..., with a product Bernoulli law of parameter ρ,0<ρ<1\rho,0<\rho<1. We prove a law of large numbers and a central limit theorem for the front defined by the right-most visited site of the XX particles at time tt. These results corroborate Monte-Carlo simulations performed in a similar context. We also prove that the law of the XX particles as seen from the front converges to a unique invariant measure. The proofs use regeneration times: we present a direct way to define them within this context.Comment: 19 page

    Comment on ``New ansatz for metric operator calculation in pseudo-Hermitian field theory''

    Full text link
    In a recent Brief Report by Shalaby a new first-order perturbative calculation of the metric operator for an iϕ3i\phi^3 scalar field theory is given. It is claimed that the result is an improvement on a previous calculation by Bender, Brody and Jones because it is local. Unfortunately Shalaby's calculation is not valid because of sign errors.Comment: 2 pages, no figures. This comment replaces the previous comment on the Brief Report by Shalaby. In the previous comment we pointed out that Shalaby's calculation failed in all but 2 space-time dimensions. We have subsequently found additional errors which mean that the calculation is not valid even in that cas

    Effects of a trapped vortex cell on thick wing profile

    Get PDF
    Experimental investigation on the effects originated from a trapped vortex cell on the NACA0024 airfoi

    A quasi-static nonlinear analysis for assessing the fire resistance of 3d frames exploiting time-dependent yield surface

    Get PDF
    In this work an automatic procedure for evaluating the axial force-biaxial bending yield surface of reinforced concrete sections in fire is proposed. It provides an accurate time-dependent expression of the yield condition by a section analysis carried out once and for all, accounting for the strength reduction of the materials, which is a function of the fire duration. The equilibrium state of 3D frames with such yield conditions, once discretized using beam finite elements, is formulated as a nonlinear vectorial equation defining a curve in the hyperspace of the discrete variables and the fire duration. A generalized path-following strategy is proposed for tracing this curve and evaluating, if it exists, the limit fire duration, that is the time of exposure which leads to structural collapse. Compared to the previous proposals on the topic, which are limited to local sectional checks, this work is the first to present a global analysis for assessing the fire resistance of 3D frames, providing a time history of the fire event and taking account of the stress redistribution. Numerical examples are given to illustrate and validate the proposal
    corecore