Artículo
Memory-induced diffusive-superdiffusive transition: Ensemble and time-averaged observables
Fecha de publicación:
05/2017
Editorial:
American Physical Society
Revista:
Physical Review E
ISSN:
2470-0053
e-ISSN:
2470-0045
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
The ensemble properties and time-averaged observables of a memory-induced diffusive-superdiffusive transition are studied. The model consists in a random walker whose transitions in a given direction depend on a weighted linear combination of the number of both right and left previous transitions. The diffusion process is nonstationary and its probability develops the phenomenon of aging. Depending on the characteristic memory parameters, the ensemble behavior may be normal, superdiffusive, or ballistic. In contrast, the time-averaged mean squared displacement is equal to that of a normal undriven random walk, which renders the process non-ergodic. In addition, and similarly to Levy walks [Godec and Metzler, Phys. Rev. Lett. 110, 020603 (2013)], for trajectories of finite duration the time-averaged displacement apparently become random withproperties that depend on the measurement time and also on the memory properties. These features are related to the non-stationary power-law decayof the transition probabilities to their stationary values. Time-averaged response to a bias is also calculated. In contrast with Levy walks [Froemberg and Barkai, Phys. Rev. E 87, 030104(R) (2013)], the response always vanishes asymptotically.
Palabras clave:
Random Processes with Memory
,
Ergodicity
,
Brownian Motion
,
Scaling Laws
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Identificadores
Colecciones
Articulos(CCT - PATAGONIA NORTE)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - PATAGONIA NORTE
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - PATAGONIA NORTE
Citación
Budini, Adrian Adolfo; Memory-induced diffusive-superdiffusive transition: Ensemble and time-averaged observables; American Physical Society; Physical Review E; 95; 5; 5-2017; 52110-52110
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