Modified Family-Vicsek Scaling and Probability Distributions for Brownian Castle Interfaces

Name: Modified Family-Vicsek Scaling and Probability Distributions for Brownian Castle Interfaces
Uploaded: 2026-11-01T22:50:53.461150+00:00
Description: The Brownian Castle model is a new interface growth model that belongs to an entirely new universality class. Numerical results show modified Family-Vicsek scaling properties for its interface width, with specific exponents ($eta=0.472$, $ u=1.01$). The probability distributions of the heights exhibit heavy tails, suggesting large jumps characteristic of Lévy flights in real-world systems.

The Brownian Castle model is a new interface growth model that belongs to an entirely new universality class. Numerical results show modified Family-Vicsek scaling properties for its interface width, with specific exponents ($eta=0.472$, $ u=1.01$). The probability distributions of the heights exhibit heavy tails, suggesting large jumps characteristic of Lévy flights in real-world systems.

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