Thermodynamic formalism of the harmonic measure of diffusion limited aggregates: Phase transition
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Thermodynamic formalism of the harmonic measure of diffusion limited aggregates : Phase transition. / Davidovitch, Benny; Jensen, Mogens H.; Levermann, Anders; Mathiesen, Joachim; Procaccia, Itamar.
I: Physical Review Letters, Bind 87, Nr. 16, 164101, 02.10.2001.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Thermodynamic formalism of the harmonic measure of diffusion limited aggregates
T2 - Phase transition
AU - Davidovitch, Benny
AU - Jensen, Mogens H.
AU - Levermann, Anders
AU - Mathiesen, Joachim
AU - Procaccia, Itamar
PY - 2001/10/2
Y1 - 2001/10/2
N2 - We study the nature of the phase transition in the multifractal formalism of the harmonic measure of diffusion limited aggregates. Contrary to previous work that relied on random walk simulations or ad hoc models to estimate the low probability events of deep fjord penetration, we employ the method of iterated conformal maps to obtain an accurate computation of the probability of the rarest events. We resolve probabilities as small as 10−35. We show that the generalized dimensions Dq are infinite for q max is finite. We present a converged f(α) curve.
AB - We study the nature of the phase transition in the multifractal formalism of the harmonic measure of diffusion limited aggregates. Contrary to previous work that relied on random walk simulations or ad hoc models to estimate the low probability events of deep fjord penetration, we employ the method of iterated conformal maps to obtain an accurate computation of the probability of the rarest events. We resolve probabilities as small as 10−35. We show that the generalized dimensions Dq are infinite for q max is finite. We present a converged f(α) curve.
UR - http://www.scopus.com/inward/record.url?scp=42749100903&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.87.164101
DO - 10.1103/PhysRevLett.87.164101
M3 - Journal article
AN - SCOPUS:42749100903
VL - 87
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 16
M1 - 164101
ER -
ID: 203585911