Document Detail

Fractional Langevin equation.
MedLine Citation:
PMID:  11735899     Owner:  NLM     Status:  PubMed-not-MEDLINE    
We investigate fractional Brownian motion with a microscopic random-matrix model and introduce a fractional Langevin equation. We use the latter to study both subdiffusion and superdiffusion of a free particle coupled to a fractal heat bath. We further compare fractional Brownian motion with the fractal time process. The respective mean-square displacements of these two forms of anomalous diffusion exhibit the same power-law behavior. Here we show that their lowest moments are actually all identical, except the second moment of the velocity. This provides a simple criterion that enable us to distinguish these two non-Markovian processes.
E Lutz
Related Documents :
14682879 - Lattice-boltzmann model based on field mediators for immiscible fluids.
2776569 - Optical plankton analyser: a flow cytometer for plankton analysis, ii: specifications.
11540029 - The let spectrum and its uncertainty during the crres mission.
11388249 - Evanescent-wave scattering in near-field optical microscopy.
20165369 - Counting quasicircular particles by an optical-digital method.
20867699 - Transverse-momentum and pseudorapidity distributions of charged hadrons in pp collision...
8744569 - Personal computer-based visualization of three-dimensional scalar and vector fields: an...
22241659 - Optimal wavelengths for vein-selective photothermolysis.
18305689 - Calibration and data elaboration procedure for sky irradiance measurements.
Publication Detail:
Type:  Journal Article     Date:  2001-10-18
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  64     ISSN:  1539-3755     ISO Abbreviation:  Phys Rev E Stat Nonlin Soft Matter Phys     Publication Date:  2001 Nov 
Date Detail:
Created Date:  2001-12-12     Completed Date:  2002-03-12     Revised Date:  2003-10-31    
Medline Journal Info:
Nlm Unique ID:  101136452     Medline TA:  Phys Rev E Stat Nonlin Soft Matter Phys     Country:  United States    
Other Details:
Languages:  eng     Pagination:  051106     Citation Subset:  -    
Département de Physique Théorique, Université de Genève, 24 quai Ernest Ansermet, 1211 Genève 4, Switzerland.
Export Citation:
APA/MLA Format     Download EndNote     Download BibTex
MeSH Terms

From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine

Previous Document:  Experimental evidence of stochastic resonance without tuning due to non-Gaussian noises.
Next Document:  Anomalous two-state model for anomalous diffusion.