INVESTIGADORES
OSENDA Omar
artículos
Título:
Exact and asymptotic properties of multistate random walks
Autor/es:
CARLOS B. BRIOZZO, CARLOS E. BUDDE, OMAR OSENDA AND MANUEL O. CÁCERES
Revista:
JOURNAL OF STATISTICAL PHYSICS
Referencias:
Año: 1991 vol. 65 p. 167 - 182
ISSN:
0022-4715
Resumen:
Abstract A method is presented
which allows one to obtain explicit analytical expressions (both exact
and asymptotic) for many of the physically interesting quantities
related to a multistate random walk (MRW). The exact results include
the Laplace-Fourier-transformed probability distribution (continuous
time) and generating function (discrete time), and closed evolution
equations for the propagators related to each internal
state of the walker. Analytical expressions for the scattering
dynamical structure function and the frequency-dependent diffusion
coefficient are given as illustrations. Asymptotic approximations to
the single-state propagators are derived, allowing a detailed analysis
of the longtime behavior and the calculation of asymptotic properties
by single-state random walk standard methods. As an example, analytical
expressions for the drift and diffusion coefficients are given.