Scaling exponent of the maximum growth probability in diffusion-limited aggregation

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Standard

Scaling exponent of the maximum growth probability in diffusion-limited aggregation. / Jensen, Mogens H.; Mathiesen, Joachim; Procaccia, Itamar.

I: Physical Review E, Bind 67, Nr. 4, 042402, 01.01.2003.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Jensen, MH, Mathiesen, J & Procaccia, I 2003, 'Scaling exponent of the maximum growth probability in diffusion-limited aggregation', Physical Review E, bind 67, nr. 4, 042402. https://doi.org/10.1103/PhysRevE.67.042402

APA

Jensen, M. H., Mathiesen, J., & Procaccia, I. (2003). Scaling exponent of the maximum growth probability in diffusion-limited aggregation. Physical Review E, 67(4), [042402]. https://doi.org/10.1103/PhysRevE.67.042402

Vancouver

Jensen MH, Mathiesen J, Procaccia I. Scaling exponent of the maximum growth probability in diffusion-limited aggregation. Physical Review E. 2003 jan. 1;67(4). 042402. https://doi.org/10.1103/PhysRevE.67.042402

Author

Jensen, Mogens H. ; Mathiesen, Joachim ; Procaccia, Itamar. / Scaling exponent of the maximum growth probability in diffusion-limited aggregation. I: Physical Review E. 2003 ; Bind 67, Nr. 4.

Bibtex

@article{fcb3b0f3cc6e42df9e744ee36f619ebb,
title = "Scaling exponent of the maximum growth probability in diffusion-limited aggregation",
abstract = "An early (and influential) scaling relation in the multifractal theory of diffusion limited aggregation (DLA) is the Turkevich-Scher conjecture that relates the exponent [Formula presented] that characterizes the “hottest” region of the harmonic measure and the fractal dimension D of the cluster, i.e., [Formula presented] Due to lack of accurate direct measurements of both D and [Formula presented] this conjecture could never be put to a serious test. Using the method of iterated conformal maps, D was recently determined as [Formula presented] In this paper, we determine [Formula presented] accurately with the result [Formula presented] We thus conclude that the Turkevich-Scher conjecture is incorrect for DLA.",
author = "Jensen, {Mogens H.} and Joachim Mathiesen and Itamar Procaccia",
year = "2003",
month = jan,
day = "1",
doi = "10.1103/PhysRevE.67.042402",
language = "English",
volume = "67",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "4",

}

RIS

TY - JOUR

T1 - Scaling exponent of the maximum growth probability in diffusion-limited aggregation

AU - Jensen, Mogens H.

AU - Mathiesen, Joachim

AU - Procaccia, Itamar

PY - 2003/1/1

Y1 - 2003/1/1

N2 - An early (and influential) scaling relation in the multifractal theory of diffusion limited aggregation (DLA) is the Turkevich-Scher conjecture that relates the exponent [Formula presented] that characterizes the “hottest” region of the harmonic measure and the fractal dimension D of the cluster, i.e., [Formula presented] Due to lack of accurate direct measurements of both D and [Formula presented] this conjecture could never be put to a serious test. Using the method of iterated conformal maps, D was recently determined as [Formula presented] In this paper, we determine [Formula presented] accurately with the result [Formula presented] We thus conclude that the Turkevich-Scher conjecture is incorrect for DLA.

AB - An early (and influential) scaling relation in the multifractal theory of diffusion limited aggregation (DLA) is the Turkevich-Scher conjecture that relates the exponent [Formula presented] that characterizes the “hottest” region of the harmonic measure and the fractal dimension D of the cluster, i.e., [Formula presented] Due to lack of accurate direct measurements of both D and [Formula presented] this conjecture could never be put to a serious test. Using the method of iterated conformal maps, D was recently determined as [Formula presented] In this paper, we determine [Formula presented] accurately with the result [Formula presented] We thus conclude that the Turkevich-Scher conjecture is incorrect for DLA.

UR - http://www.scopus.com/inward/record.url?scp=85037241513&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.67.042402

DO - 10.1103/PhysRevE.67.042402

M3 - Journal article

AN - SCOPUS:85037241513

VL - 67

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 4

M1 - 042402

ER -

ID: 203586516