Reaction–diffusion system: Fate of a Gaussian probability distribution on flat potential with a sink

Rajendran Saravanan and Aniruddha Chakraborty

Physica A: Statistical Mechanics and its Applications, 2019, vol. 536, issue C

Abstract: In this paper, we give a time domain method to solve exactly the problem of diffusion of a generic initial distribution in the presence of a sink. The diffusive motion is described by the Smoluchowski equation. The potential is taken to be flat and the sink function is taken to be a finite strength Dirac delta function. We solve this problem for the case of initial Gaussian distribution which is usually done numerically. This simple model has been an unsolved problem for some time and is of considerable importance in understanding the reaction–diffusion system. This method can be applied to solve several related problems. We verify our results numerically.

Keywords: Smoluchowski equation; Time domain method; Gaussian probability distribution; Reaction–diffusion systems (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437119305977
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:536:y:2019:i:c:s0378437119305977

DOI: 10.1016/j.physa.2019.04.225

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 ().