2024/04/07 by Giordano Roberto Ledesma Palacios, A. M. S. Macêdo, Palacios, G +5
Computer Science · Environmental Science · #FOS: Physical sciences #Neural Networks and Applications #Statistical Mechanics (cond-mat.stat-mech) #Water Quality Monitoring and Analysis
paper · pdf · doi:10.48550/arxiv.2404.05080
openalex publication_date 2024/04/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Random Sequential Adsorption (RSA) problem holds crucial theoretical and practical significance, serving as a pivotal framework for understanding and optimizing particle packing in various scientific and technological applications. Here the problem of the one-dimensional RSA of k-mers onto a substrate with correlated defects controlled by uniform and power-law distributions is theoretically investigated: the coverage fraction is obtained as a function of the density of defects and several scaling laws are examined. The results are compared with extensive Monte Carlo simulations and more traditional methods based on master equations. Emphasis is given in elucidating the scaling behavior of the fluctuations of the coverage fraction. The phenomenon of universality breaking and the issues of conventional gaussian fluctuations and the Lévy type fluctuations from a simple perspective, relying on the Central Limit Theorem, are also addressed.