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Jamming and percolation of three-dimensional (3D) $k \times k \times k $ cubic objects ($k^3$-mers) deposited on simple cubic lattices have been studied by numerical simulations complemented with finite-size scaling theory. The $k^3$-mers…

Statistical Mechanics · Physics 2019-08-28 A. C. Buchini Labayen , P. M. Centres , P. M. Pasinetti , A. J. Ramirez-Pastor

We consider the persistent exclusion process in which a set of persistent random walkers interact via hard-core exclusion on a hypercubic lattice in $d$ dimensions. We work within the ballistic regime whereby particles continue to hop in…

Statistical Mechanics · Physics 2020-11-23 Matthew J. Metson , Martin R. Evans , Richard A. Blythe

We present a Monte Carlo algorithm that provides efficient and unbiased sampling of polymer melts consisting of two chains of equal length that jointly visit all the sites of a cubic lattice with rod geometry L x L x rL and non-periodic…

Statistical Mechanics · Physics 2010-11-03 Jesper Lykke Jacobsen

We use complete enumeration and Monte Carlo techniques to study two-dimensional self-avoiding polymer chains with quenched ``charges'' $\pm 1$. The interaction of charges at neighboring lattice sites is described by $q_i q_j$. We find that…

Soft Condensed Matter · Physics 2009-10-30 Ido Golding , Yacov Kantor

Jamming is a phenomenon shared by a wide variety of systems, such as granular materials, foams, and glasses in their high density regime. This has motivated the development of a theoretical framework capable of explaining many of their…

Statistical Mechanics · Physics 2021-06-24 Rafael Díaz Hernández Rojas , Giorgio Parisi , Federico Ricci-Tersenghi

We investigate a three-dimensional kinetically-constrained model that exhibits two types of phase transitions at different densities. At the jamming density $ \rho_J $ there is a mixed-order phase transition in which a finite fraction of…

Statistical Mechanics · Physics 2017-06-08 Nimrod Segall , Eial Teomy , Yair Shokef

Monte Carlo simulations are used to study lattice gases of particles with extended hard cores on a two dimensional square lattice. Exclusions of one and up to five nearest neighbors (NN) are considered. These can be mapped onto hard squares…

Statistical Mechanics · Physics 2007-05-23 Heitor C. Marques Fernandes , Jeferson J. Arenzon , Yan Levin

Discrete particle simulations are used to model segregation in granular mixtures of three different particle species in a horizontal rotating drum. Axial band formation is observed, with medium-size particles tending to be located between…

Soft Condensed Matter · Physics 2009-11-13 D. C. Rapaport

We investigate the strongly correlated effect of cold atoms in triangular optical lattice by dynamical cluster approximation combining with the continuous time quantum Monte Carlo method proposed recently. It is found the double occupancy…

Quantum Gases · Physics 2010-07-16 Yao-Hua Chen , Wei Wu , Hong-Shuai Tao , Wu-Ming Liu

We develop a classical microscopic model of a dielectric. The model features nonlinear interaction terms between polarizable dipoles and lattice vibrations. The lattice vibrations are found to act as a pseudo-reservoir, giving broadband…

Optics · Physics 2016-07-20 R. J. Churchill , T. G. Philbin

Geometrical properties of two-dimensional mixtures near the jamming transition point are numerically investigated using harmonic particles under mechanical training. The configurations generated by the quasi-static compression and…

Rotation of atoms in a lattice is studied using a Hubbard model. It is found that the atoms are still contained in the trap even when the rotation frequency is larger than the trapping frequency. This is very different from the behavior in…

Quantum Physics · Physics 2007-05-23 T. Wang , S. Yelin

Reaction-diffusion systems where transition rates exhibit quenched disorder are common in physical and chemical systems. We study pair reactions on a periodic two-dimensional lattice, including continuous deposition and spontaneous…

Disordered Systems and Neural Networks · Physics 2010-11-10 A. Wolff , I. Lohmar , J. Krug , Y. Frank , O. Biham

A boundary-based net-exchange Monte Carlo method was introduced in [1] that allows to bypass the difficulties encountered by standard Monte Carlo algorithms in the limit of optically thick absorption (and/or for quasi-isothermal…

Computational Physics · Physics 2019-03-06 V. Eymet , R. Fournier , S. Blanco , J. L. Dufresne

Several, recently proposed methods of surface manufacturing based on ion beam sputtering, which involve dual beam setups, sequential application of ion beams from different directions, or sample rotation, are studied with the method of…

Mesoscale and Nanoscale Physics · Physics 2023-01-05 Taha Yasseri , Reiner Kree

Jamming is a fundamental transition that governs the mechanical behavior of particulate media, including sand, foam and dense suspensions but also biological tissues: Upon compression, particulate media can change from freely flowing to a…

Soft Condensed Matter · Physics 2022-03-10 Zhaoyu Xie , Timothy J Atherton

Lattice simulations are an important class of problems in crystalline solids, surface science, alloys, adsorption, absorption, separation, catalysis, to name a few. We describe a fast computational method for performing lattice…

Statistical Mechanics · Physics 2023-07-24 Suhail Haque , Abhijit Chatterjee

The adsorption of highly charged flexible polycations and polyanions on a charged cylindrical substrate is investigated by means of Monte Carlo (MC) simulations. A detailed structural study, including monomer and fluid charge distributions,…

Soft Condensed Matter · Physics 2007-05-23 Rene Messina

Rigidity percolation provides an important basis for understanding the onset of mechanical stability in disordered materials. While most studies on the triangular lattice have focused on static properties at fixed bond~(site) occupation…

Statistical Mechanics · Physics 2026-01-30 Mingzhong Lu , Yufeng Song , Qiyuan Shi , Ming Li , Youjin Deng

We study the adsorption-desorption of fluid molecules on a solid substrate by introducing a schematic model in which the adsorption/desorption transition probabilities are given by irreversible kinetic constraints with a tunable violation…

Statistical Mechanics · Physics 2019-11-27 Mauro Sellitto