Simulations confirm that 2D random walk clusters have hull dimension exactly 4/3 and chemical distance scaling as L times (ln L) to the power 1/4.
Cardy, Annals of Physics318, 81 (2005), arXiv:cond- mat/0503313
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
cond-mat.stat-mech 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Fractals of Simple Random Walks in Two Dimensions: A Monte Carlo Study
Simulations confirm that 2D random walk clusters have hull dimension exactly 4/3 and chemical distance scaling as L times (ln L) to the power 1/4.