Analytical solution of diffusion probability for a flat potential with a localized sink

Hemani Chhabra, Swati Mudra and Aniruddha Chakraborty

Physica A: Statistical Mechanics and its Applications, 2020, vol. 555, issue C

Abstract: We give a method for finding the exact analytical solution in time domain for the problem of a particle undergoing diffusive motion on a flat potential in the presence of a new localized sink. The diffusive motion is described by using the Smoluchowski equation. This analytical method with this new localized sink is very general and can be used to deal with other potentials. This model is well suited for understanding the problem of electronic relaxation of a molecule immersed in polar solvent using reaction–diffusion approach.

Keywords: Flat potential; Localized sink; Analytical method; Time domain (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437120302727
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:555:y:2020:i:c:s0378437120302727

DOI: 10.1016/j.physa.2020.124573

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 ().