On the fractal characteristics of the η model

Angel Sánchez, Francisco Guinea, Enrique Louis and Vincent Hakim

Physica A: Statistical Mechanics and its Applications, 1992, vol. 191, issue 1, 123-127

Abstract: Since the η or dielectric breakdown model was proposed, it has been generally accepted that the fractal characteristics of the so-grown clusters have a smooth behavior as η increases from 0 to infinity. On the basis of recent theoretical calculations on a related model, we conjecture that the aggregate can become effectively branchless for η larger than a critical value η1. A related possibility is that the value 1 for the fractal dimension might be reached at finite values of η. We have carried out a large simulation program to test these conjectures and we find evidence supporting their validity. This is a preliminary report of our work on this problem.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:191:y:1992:i:1:p:123-127

DOI: 10.1016/0378-4371(92)90515-R

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