Abstract. We consider the Hammersley-Aldous-Diaconis (HAD) process with sinks and sources such that there is a microscopic shock at every time t; denote Z(t) its position. We show that the mean and variance of Z(t) are linear functions of t and compute explicitely the respective constants in function of the left and right densities. Furthermore, we describe the dependence of Z(t) on the initial...

The asymmetric simple exclusion process (ASEP) on a one-dimensional lattice is a system of particles which jump at rates p and 1 p (here p > 1=2) to adjacent empty sites on their right and left respectively. The system is described on suitable macroscopic spatial and temporal scales by the inviscid Burgers' equation; the latter has shock solutions with a discontinuous jump from left density to ...

We present in situ observations of the source regions of interplanetary (IP) type II radio bursts, using data from the Wind spacecraft during the period 1996-2002. We show the results of this survey as well as in-depth analysis of several individual events. Each event analyzed in detail is associated with an interplanetary coronal mass ejection (ICME) and an IP shock driven by the ICME. Immedia...

The dust explosion prevention in mines and dusted industries has been an important issue for years. During this time, many experimental and theoretical investigations have been carried out. Nevertheless, up to now nobody can declare that all the mechanisms are clear and the comprehensive mathematical model is constructed taking into account all the details of this complicated process. The gas-d...

We construct a global smooth approximate solution to a multidimensional scalar conservation law describing the shock wave formation process for initial data with small variation. In order to solve the problem, we modify the method of characteristics by introducing “new characteristics”, nonintersecting curves along which the (approximate) solution to the problem under study is constant. The pro...

We present transient and asymptotic reliability indices for a single-unit system that is subject to Markov-modulated shocks and wear. The transient results are derived from the (transform) solution of an integro-differential equation describing the joint distribution of the cumulative degradation process and the state of the modulating process. Additionally, we prove the asymptotic normality of...

Current supernova modeling revolves around the idea that the stalled supernova shock is reenergized by absorption of electron neutrinos and antineutrinos on the shock-liberated nucleons behind it. Key to this process is the neutrino transport in the critical semitransparent region encompassing the neutrinospheres. Potentially aiding this process is convection below the neutrinospheres and the s...

First-order Fermi acceleration processes at ultrarelativistic (γ ∼ 5−30) shock waves are studied with the method of Monte Carlo simulations. The accelerated particle spectra are derived by integrating the exact particle trajectories in a turbulent magnetic field near the shock. The magnetic field model upstream of the shock assumes finite-amplitude perturbations within a wide wavevector range a...

background and objectives: hydrocortisone is widely used in septic shock cases resistant to fluid and vasopressor therapy. it may result in increased blood pressure and survival. however the efficacy is no established among patients with severe burn and septic shock. accordingly it was assessed in this study. materials and methods: the patients older than 14 years of age with resistant septic s...

a b s t r a c t a 36-year-old male patient with posttraumatic cervical cord damage and resultant quadriparesis, demonstrated hypotension and periods of bradycardia. for most of his two-month stay in the intensive care unit (icu), he was dependent on dopamine support to maintain hemodynamic stability. keeping in mind evidence from the literature, that electrostimulation of acupoints neiguan (pc ...