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The behavior of the percolation threshold and the jamming coverage for isotropic random sequential adsorption samples has been studied by means of numerical simulations. A parallel algorithm that is very efficient in terms of its speed and…

统计力学 · 物理学 2018-12-24 M. G. Slutskii , L. Yu. Barash , Yu. Yu. Tarasevich

We study site percolation on a square lattice with random compact diamond-shaped neighborhoods. Each site $s$ is connected to others within a neighborhood in the shape of a diamond of radius $r_s$, where $r_s$ is uniformly chosen from the…

统计力学 · 物理学 2026-02-05 Charles S. do Amaral , Mateus G. Soares , Robert M. Ziff

We investigate percolation on a randomly directed lattice, an intermediate between standard percolation and directed percolation, focusing on the isotropic case in which bonds on opposite directions occur with the same probability. We…

Porous media are often modelled as systems of overlapping obstacles, which leads to the problem of two percolation thresholds in such systems, one for the porous matrix and the other one for the void space. Here we investigate these…

统计力学 · 物理学 2016-06-28 Zbigniew Koza , Grzegorz Kondrat , Karol Suszczyński

We introduce a three-dimensional model for jamming and glasses, and prove that the fraction of frozen particles is discontinuous at the directed-percolation critical density. In agreement with the accepted scenario for jamming- and…

统计力学 · 物理学 2014-05-02 Antina Ghosh , Eial Teomy , Yair Shokef

Using Monte Carlo simulations we study jamming and percolation processes upon the random sequential adsorption of dimers on binary alloys with different degrees of structural order. We obtain the equimolar mixtures used as substrates by…

统计力学 · 物理学 2009-11-13 Ernesto S. Loscar , R. A. Borzi , Ezequiel V. Albano

Jamming and percolation transitions in the standard random sequential adsorption of particles on regular lattices are characterized by a universal set of critical exponents. The universality class is preserved even in the presence of…

统计力学 · 物理学 2021-04-28 Sumanta Kundu , Dipanjan Mandal

The fractions of samples spanning a lattice at its percolation threshold are found by computer simulation of random site-percolation in two- and three-dimensional hypercubic lattices using different boundary conditions. As a byproduct we…

统计力学 · 物理学 2015-06-25 Muktish Acharyya , Dietrich Stauffer

The more exact upper estimate of the percolation threshold for the {\it site problem} on the quadratic lattice ${\Bbb Z}^2$ have been found on the basis of the cluster decomposition. It is done by the number estimate of cycles on ${\Bbb…

数学物理 · 物理学 2007-05-23 Yu. P. Virchenko , Yu. A. Tolmacheva

The $k$-core percolation on the Bethe lattice has been proposed as a simple model of the jamming transition because of its hybrid first-order/second-order nature. We investigate numerically $k$-core percolation on the four-dimensional…

无序系统与神经网络 · 物理学 2012-10-31 Giorgio Parisi , Tommaso Rizzo

We present percolation thresholds calculated numerically with the eigenvalue formulation of the method of critical polynomials; developed in the last few years, it has already proven to be orders of magnitude more accurate than traditional…

数学物理 · 物理学 2020-03-04 Christian R. Scullard , Jesper Lykke Jacobsen

Restricted-valence random sequential adsorption~(RSA) is studied in its pure and disordered versions, on the square and triangular lattices. For the simplest case~(pure on the square lattice) we prove the absence of percolation for maximum…

统计力学 · 物理学 2020-10-14 A. P. Furlan , Diogo C. dos Santos , Robert M. Ziff , Ronald Dickman

In the paper random-site percolation thresholds for simple cubic lattice with sites' neighborhoods containing next-next-next-nearest neighbors (4NN) are evaluated with Monte Carlo simulations. A recently proposed algorithm with low sampling…

统计力学 · 物理学 2015-04-08 K. Malarz

We study bond percolation on the simple cubic (SC) lattice with various combinations of first, second, third, and fourth nearest-neighbors by Monte Carlo simulation. Using a single-cluster growth algorithm, we find precise values of the…

无序系统与神经网络 · 物理学 2020-07-08 Zhipeng Xun , Robert M. Ziff

We consider the reversible random sequential adsorption of line segments on a one-dimensional lattice. Line segments of length $l \geq 2$ adsorb on the lattice with a adsorption rate $K_a$, and leave with a desorption rate $K_d$. We…

统计力学 · 物理学 2015-06-24 Jae Woo Lee

We simulated the cohesive particle flow in an impeller-based rheometer using Discrete Element Method (DEM), and we focus on the dynamics of particles around the constriction between the blade and its surrounding vessel wall. The results…

流体动力学 · 物理学 2025-02-27 Wenbin Xuan , Wenguang Nan

We study the effect of dilute pinning on the jamming transition. Pinning reduces the average contact number needed to jam unpinned particles and shifts the jamming threshold to lower densities, leading to a pinning susceptibility, $\chi_p$.…

软凝聚态物质 · 物理学 2016-06-15 Amy L. Graves , Samer Nashed , Elliot Padgett , Carl P. Goodrich , Andrea J. Liu , James P. Sethna

Monte Carlo simulations and finite-size scaling analysis have been performed to study the jamming and percolation behavior of linear $k$-mers (also known as rods or needles) on the two-dimensional triangular lattice, considering an…

统计力学 · 物理学 2017-08-02 E. J. Perino , D. A. Matoz-Fernandez , P. M. Pasinetti , A. J. Ramirez-Pastor

We study the competitive irreversible adsorption of a binary mixture of monomers and square-shaped particles of linear size $R$ on the square lattice. With the random sequential adsorption model, we investigate how the jamming coverage and…

软凝聚态物质 · 物理学 2022-05-04 Sumanta Kundu , Henrique C. Prates , Nuno A. M. Araujo

A general method is proposed for predicting the asymptotic percolation threshold of networks with bottlenecks, in the limit that the sub-net mesh size goes to zero. The validity of this method is tested for bond percolation on filled…

统计力学 · 物理学 2009-11-13 Amir Haji-Akbari , Robert M. Ziff