Numerical analysis of the Smoluchowski equation using the split operator method

J. Gómez-Ordóñez and M. Morillo

Physica A: Statistical Mechanics and its Applications, 1992, vol. 183, issue 4, 490-507

Abstract: We apply the split operator method of Feit, Fleck and Steiger to the numerical solution of the Smoluchowski equation. We study the time evolution of the first few moments and of the equilibrium time-correlation function. For bistable potentials, the time evolution of the probability density obtained by us is compared with the one predicted by the scaling theory of Suzuki. We also analyze the dependence of the total equilibrium relaxation time on the noise intensity, D, for small and large values of D. The relaxation from an initial condition away from the unstable point is also discussed. We find that the one-well population is well described by a single exponential law with decay times which grow extremely large as the value of D is decreased.

Date: 1992
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437192902963
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:183:y:1992:i:4:p:490-507

DOI: 10.1016/0378-4371(92)90296-3

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().