Different diffusive regimes, generalized Langevin and diffusion equations.

Authors :: Tateishi AA
Lenzi EK
da Silva LR
Ribeiro HV
Picoli S Jr
Mendes RS
Source :: Physical review. E, Statistical, nonlinear, and soft matter physics [Phys Rev E Stat Nonlin Soft Matter Phys] 2012 Jan; Vol. 85 (1 Pt 1), pp. 011147. Date of Electronic Publication: 2012 Jan 27.
Publication Year :: 2012
Abstract: We investigate a generalized Langevin equation (GLE) in the presence of an additive noise characterized by the mixture of the usual white noise and an arbitrary one. This scenario lead us to a wide class of diffusive processes, in particular the ones whose noise correlation functions are governed by power laws, exponentials, and Mittag-Leffler functions. The results show the presence of different diffusive regimes related to the spreading of the system. In addition, we obtain a fractional diffusionlike equation from the GLE, confirming the results for long time.<br /> (© 2012 American Physical Society)

Subjects :: Computer Simulation
Algorithms
Diffusion
Models, Chemical
Models, Molecular
Models, Statistical

Language :: English
ISSN :: 1550-2376
Volume :: 85
Issue :: 1 Pt 1
Database :: MEDLINE
Journal :: Physical review. E, Statistical, nonlinear, and soft matter physics
Publication Type :: Academic Journal
Accession number :: 22400552
Full Text :: https://doi.org/10.1103/PhysRevE.85.011147