Fast power law-like decay for a diffusive system with absorbing borders

Michel Droz and Andrzej Pȩkalski

Physica A: Statistical Mechanics and its Applications, 2017, vol. 470, issue C, 82-87

Abstract: Using a simple, one dimensional, model of diffusing particles which are absorbed at the ends of the system, we compare two ways of updating in the Monte Carlo simulations. In the first one particles at each Monte Carlo step are chosen randomly, while in the second one we follow at each Monte Carlo Step a list of particles made at the beginning of simulations, in which there is no correlation between the position of a particle on the list and its spatial location. We show that although the final state is the same—the empty state, the two approaches follow quite different ways to the final state. In the first one the density of particles decreases exponentially with time, while in the second one it has a power-type character. An additional feature which is different in the two approaches is the direction of the average movements of the particles. In the first case they are moving away from the edges, towards the centre, while in the second case the average jumps are towards the edges. We have no good explanation for the observed differences and leave them as open questions.

Keywords: Diffusion with absorption; Monte Carlo simulations; Monte Carlo updating (search for similar items in EconPapers)
Date: 2017
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437116309463
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:470:y:2017:i:c:p:82-87

DOI: 10.1016/j.physa.2016.11.123

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 ().