Artículo
Intermittent Kac’s flights and the generalized telegrapher’s equation
Fecha de publicación:
02/2024
Editorial:
American Physical Society
Revista:
Physical Review E: Statistical Physics, Plasmas, Fluids and Related Interdisciplinary Topics
ISSN:
2470-0045
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
A generalized one-dimensional telegrapher equation associated with an intermittent change of sign in the velocity of a Kac’s flight has been proposed. To solve this random differential equation, we used the enlarged master equation approach to obtain the exact differential equation for the evolution of a normalized positive distribution. This distribution is associated with a generalized finite-velocity diffusionlike process. We studied the robustness of the ballistic regime, the cutoff of its domain, and the time-dependent Gaussian convergence. The second moment for the evolution of the profile has been studied as a function of non-Poisson statistics (possibly intermittent) for the time intervals i j in the Kac’s flight. Numerical results for the evolution of sharp and wide initial profiles have also been presented. In addition, for comparison with a non-Gaussian process at all times, we have revisited the non-Markov Poisson’s flight with exponential pulses. A theory for generalized random flights with intermittent stochastic velocity and in the presence of a force is also presented, and the stationary distribution for two classes of potential has been obtained.
Palabras clave:
BROWNIAN MOTION
,
CLASSICAL STATISTICAL MECHANICS
,
NOISE
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Colecciones
Articulos(CCT - PATAGONIA CONFLUENCIA)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - PATAGONIA CONFLUENCIA
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - PATAGONIA CONFLUENCIA
Citación
Nizama Mendoza, Marco Alfredo; Caceres Garcia Faure, Manuel Osvaldo; Intermittent Kac’s flights and the generalized telegrapher’s equation; American Physical Society; Physical Review E: Statistical Physics, Plasmas, Fluids and Related Interdisciplinary Topics; 109; 2; 2-2024; 1-15
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