TITLE

One-dimensional chemical master equations: Uniqueness and analytical form of certain solutions

AUTHOR(S)
Samoilov, Michael; Ross, John
PUB. DATE
May 1995
SOURCE
Journal of Chemical Physics;5/22/1995, Vol. 102 Issue 20, p7983
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
The eikonal (WKB) approximation is applied to a stationary one-dimensional master equation describing an arbitrary reaction mechanism. The uniqueness of a nontrivial (fluctuational) eikonal solution is proven. Consistent eikonal and exact analytical solutions are obtained for systems with an arbitrary, but unique step size of stochastic transitions. An analytical eikonal solution for the stationary probability density for systems with mixed step sizes of 1 and 2 is also obtained and found to differ significantly from the systems with a uniform step size, particularly in the case of multiple stationary states. © 1995 American Institute of Physics.
ACCESSION #
7639573

 

Related Articles

  • Analytical solution for the Kissinger equation. Roura, Pere; Farjas, Jordi // Journal of Materials Research;Oct2009, Vol. 24 Issue 10, p5 

    An analytical solution for the Kissinger equation relating the activation energy, E, with the peak temperature of the reaction rate, Tm, has been found. It is accurate (relative error below 2%) for a large range of E/RTm values (from 15 to above 60) that cover most experimental situations. The...

  • Modeling Interfacial Liquid Layers in Environmental Ices. Kuo, Min H.; Moussa, Samar G.; McNeill, V. Faye // Atmospheric Chemistry & Physics;2011, Vol. 11 Issue 18, Special section pS1 

    No abstract available.

  • Adsorption kinetics investigation for alkyltrimethylammonium bromides on ITO-aqueous interface. Qi, L.; Bi, Zh. // Colloid Journal;Mar2008, Vol. 70 Issue 2, p178 

    The adsorption of dodecyltrimethylammonium bromide and cetyltrimethylammonium bromide onto indium-tin oxide (ITO) was studied by in-situ monitoring the capacitance and resistance of adsorbed layers for a series of concentrations of aqueous solutions. The experimental results suggested that the...

  • Ballooning instabilities in tokamaks with sheared toroidal flows. Waelbroeck, F. L.; Chen, L. // Physics of Fluids B: Plasma Physics;Mar91, Vol. 3 Issue 3, p601 

    The stability of ballooning modes in the presence of sheared toroidal flows is investigated. The eigenmodes are shown to be related by a Fourier transformation to the nonexponentially growing Floquet solutions found by Cooper [Plasma Phys. Controlled Fusion 30, 1805 (1988)]. It is further shown...

  • The Eikonal equation in flat space: Null surfaces and their singularities. I. Frittelli, Simonetta; Newman, Ezra T.; Silvia-Ortigoza, Gilberto // Journal of Mathematical Physics;Jan1999, Vol. 40 Issue 1, p383 

    Studies the level of surfaces of solutions to the eikonal equation that define null or characteristic surfaces. Decomposition of the null surfaces into a one-parameter family of two-dimensional wavefronts; General solution to the flat-space eikonal equation; Global, asymptotically spherical,...

  • Double-crossing mode conversion in nonuniform media. Brizard, A.J.; Morehead, J.J. // Physics of Plasmas;Jan1998, Vol. 5 Issue 1, p45 

    Presents coupled-wave equations for double-crossing mode conversion in nonuniform media. Effects of ray curvature on mode conversion; Details of the modular-eikonal approach for the study of double-crossing mode-conversion problems; Ways to solve the coupled equations.

  • Sum rule for multiple scattering of light by neighboring dielectric spheres. Chen, Tuan W. // Journal of Applied Physics;6/1/1990, Vol. 67 Issue 11, p7147 

    Presents an overview of a study which tested numerically the sum rule for dielectric spheres. Application of the eikonal method in light scattering; Equation of closely packed dielectric spheres of the same size; Overview of the numerical results of the sum rule.

  • Poiseuille advection of chemical reaction fronts: Eikonal approximation. Spangler, Robert S.; Edwards, Boyd F. // Journal of Chemical Physics;4/1/2003, Vol. 118 Issue 13, p5911 

    An eikonal equation including fluid advection is derived from the cubic reaction-diffusion-advection equation, and is used to investigate the speeds and shapes of chemical reaction fronts subject to Poiseuille flow between parallel plates. Although the eikonal equation is usually regarded as...

  • Characteristic surface data for the eikonal equation. Newman, Ezra T.; Perez, Alejandro // Journal of Mathematical Physics;Feb99, Vol. 40 Issue 2, p1093 

    Presents an extension of the method for solving the eikonal equation, in either flat or curved space times, with arbitrary Cauchy data, to the case of data given on characteristic surface. Relationship between the Cauchy and characteristic data for the same solution; Wave-front singularities.

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