The stabilized single-source stochastic sandpile with p-topplings has macroscopic limit shape equal to a symmetric interval around the origin, with rescaled boundary fluctuations converging to a Gaussian.
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Numerical simulations of the Aw-Rascle-Zhang model on lattice networks produce scale-free congestion clusters with power-law size distributions and finite-size scaling.
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Limit shape of single-source stochastic sandpiles with $p$-topplings on $\mathbb{Z}$
The stabilized single-source stochastic sandpile with p-topplings has macroscopic limit shape equal to a symmetric interval around the origin, with rescaled boundary fluctuations converging to a Gaussian.
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Scale-free congestion clusters in large-scale traffic networks: a continuum modeling study
Numerical simulations of the Aw-Rascle-Zhang model on lattice networks produce scale-free congestion clusters with power-law size distributions and finite-size scaling.