TITLE

On the distance to blow-up of acceleration waves in random media

AUTHOR(S)
Ostoja-Starzewski, Martin; Tr&ecedil;bicki, Jerry
PUB. DATE
February 2003
SOURCE
Continuum Mechanics & Thermodynamics;Feb2003, Vol. 15 Issue 1, p21
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We study the effects of material spatial randomness on the distance to form shocks from acceleration waves, x8, in random media. We introduce this randomness by taking the material coefficients � and � � that represent the dissipation and elastic nonlinearity, respectively, in the governing Bernoulli equation � as a stochastic vector process. The focus of our investigation is the resulting stochastic, rather than deterministic as in classical continuum mechanics studies, competition of dissipation and elastic nonlinearity. Quantitative results for x8 are obtained by the method of moments in special simple cases, and otherwise by the method of maximum entropy. We find that the effect of even very weak random perturbation in � and � may be very significant on x8. In particular, the full negative cross-correlation between � and � results in the strongest scatter of x8, and hence, in the largest probability of shock formation in a given distance x.
ACCESSION #
14708039

 

Related Articles

  • On causal stochastic equations for log-stable multiplicative cascades. Schmitt, F. G.; Chainais, P. // European Physical Journal B -- Condensed Matter;Jul2007, Vol. 58 Issue 2, p149 

    We reformulate various versions of infinitely divisible cascades proposed in the literature using stochastic equations. This approach sheds a new light on the differences and common points of several formulations that have been recently provided by several teams. In particular, we focus on the...

  • STOCHASTIC PROCESS.  // Encyclopedia of Operations Research & Management Science;2001, p784 

    The article provides an encyclopedia entry on the definition of the term "Stochastic Process." The term refers to a set of random variables indexed over a parameter set.

  • Injection from Thermal Equilibrium and Acceleration to High Energy with Chaotic Gun Effect. Dumitrescu, Gheorghe // Petroleum - Gas University of Ploiesti Bulletin, Mathematics - I;Jun2010, Vol. 62 Issue 2, p10 

    Efficient acceleration mechanisms have been proposed in order to explain high energy spectra observed from astrophysical objects such supernova remnants, active galactic nuclei and X binaries. Most of them require an initial mechanism able to accelerate charged particles from thermal equilibrium...

  • Introduction.  // Journal of Applied Economy;Mar2011, Vol. 5, p9 

    An introduction to the article "Stochastic Environments as Measurements Tools: A New Approach," by Karl T. Muth and Jennifer F. Helgeson, published within the issue, is presented.

  • Measure-Valued Diffusions and Continual Systems of Interacting Particles in a Random Medium. Pilipenko, A. Yu. // Ukrainian Mathematical Journal;Sep2005, Vol. 57 Issue 9, p1507 

    We consider continual systems of stochastic equations describing the motion of a family of interacting particles whose mass can vary in time in a random medium. It is assumed that the motion of every particle depends not only on its location at given time but also on the distribution of the...

  • THINNING OF CLUSTER PROCESSES: CONVERGENCE OF SUMS OF THINNED POINT PROCESSES. Serfozo, Richard // Mathematics of Operations Research;Nov84, Vol. 9 Issue 4, p522 

    This is a study of the convergence in distribution of sums of dependent point processes that are becoming uniformly sparse due to a thinning operation. Under this operation, each point process is randomly deleted or retained depending on its structure, and when a process is retained, each of its...

  • Some central limit theorems for l[sup 8] -valued semimartingales and their applications. Nishiyama, Yoichi // Probability Theory & Related Fields;1997, Vol. 108 Issue 4, p459 

    Summary. This paper is devoted to the generalization of central limit theorems for empirical processes to several types of l[sup 8] (?)-valued continuous-time stochastic processes t ? X[sub t] [sup n] =(X[sub t] [sup n] [sup ,?] |???), where ? is a non-empty set. We deal with three kinds of...

  • Microscopic Models for Chemical Thermodynamics. Malyshev, V. A. // Journal of Statistical Physics;Jun2005, Vol. 119 Issue 5/6, p997 

    We introduce an infinite particle system dynamics, which includes stochastic chemical kinetics models, the classical Kac model and free space movement. We study energy redistribution between two energy types (kinetic and chemical) in different time scales, similar to energy redistribution in the...

  • Temporal asymmetry of fluctuations in nonequilibrium steady states. Paneni, Carlo; Searles, Debra J.; Rondoni, Lamberto // Journal of Chemical Physics;3/21/2006, Vol. 124 Issue 11, p114109 

    Temporal asymmetries of fluctuation paths in nonequilibrium microscopic shearing systems are observed for the first time. Inspired by theories that predict asymmetry of fluctuation paths in stochastic dynamics, we focus on deterministic reversible particle models, which represent a small part of...

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics