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The Ising chain with kinetic constraints provides many examples of totally irreversible zero-temperature dynamics leading to metastability with an exponentially large number of attractors. In most cases, the constrained zero-temperature…

Statistical Mechanics · Physics 2023-09-12 P. L. Krapivsky , J. M. Luck

We study random sequential adsorption (RSA) of a class of solids that can be obtained from a cube by specific cutting of its vertices, in order to find out how the transition from tetrahedral to octahedral symmetry affects the densities of…

Materials Science · Physics 2019-11-22 Piotr Kubala , Michał Cieśla , Robert M. Ziff

We compare the structural and mechanical properties of static packings composed of frictionless convex (ellipses) and concave (rigid dimers) particles in two dimensions. We employ numerical simulations to generate static packings and…

Soft Condensed Matter · Physics 2010-08-06 Carl F. Schreck , Ning Xu , Corey S. O'Hern

A model for cooperative sequential adsorption that incorporates nearest-neighbor exclusion and next-nearest neighbor interaction is presented. It is analyzed for the case of one-dimensional dimer and two-dimensional monomer adsorption.…

Statistical Mechanics · Physics 2009-05-25 C. J. Neugebauer , S. N. Taraskin

The random sequential adsorption (RSA) of identical elongated particles (discorectangles) on a line ("Paris car parking problem") was studied numerically. An off-lattice model with continuous positional and orientational degrees of freedom…

Disordered Systems and Neural Networks · Physics 2020-07-14 Nikolai I. Lebovka , Mykhailo O. Tatochenko , Nikolai V. Vygornitskii , Yuri Yu. Tarasevich

Nonequilibrium molecular dynamics simulations are used to study the deformation behavior of disperse polymer melts by tracking test chains of length N = Mw, the weight average molecular weight, in melts of varying dispersity. At high strain…

Soft Condensed Matter · Physics 2025-07-29 Taofeek Tejuosho , Janani Sampath

In this paper, we present a unified study of the limiting density in one-dimensional random sequential adsorption (RSA) processes where segment lengths are drawn from a given distribution. In addition to generic bounds, we are also able to…

Probability · Mathematics 2024-03-22 Roger Fan , Nitya Mani

We consider the non-overlapping irreversible random sequential adsorption (RSA) process on one-dimensional finite line, which is known also as the car parking process. The probability of each coverage in saturating states is analytically…

Statistical Mechanics · Physics 2008-12-03 Masatomo Iwasa , Kyohei Fukuda

We use numerical simulations to study the flow of a bidisperse mixture of athermal, frictionless, soft-core two dimensional spherocylinders driven in uniform steady state shear. Energy dissipation is via a viscous drag with respect to a…

Soft Condensed Matter · Physics 2019-10-07 Theodore A. Marschall , S. Teitel

Jamming and percolation of square objects of size $k \times k$ ($k^2$-mers) isotropically deposited on simple cubic lattices have been studied by numerical simulations complemented with finite-size scaling theory. The $k^2$-mers were…

Statistical Mechanics · Physics 2020-01-29 P. M. Pasinetti , P. M. Centres , A. J. Ramirez-Pastor

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…

Statistical Mechanics · Physics 2015-06-24 Jae Woo Lee

Kinetics of random sequential adsorption (RSA) of spheres on flat, two-dimensional surfaces is governed by a power law with exponent $-1/2$. The study has shown that for RSA of nearly spherically symmetric particles this exponent is $-1/3$,…

Materials Science · Physics 2014-03-14 Michał Cieśla , Jakub Barbasz

Particle-based simulations are performed to study the post-relaxation dynamics of functionalized (patchy) colloids adsorbed on an attractive substrate. Kinetically arrested structures that depend on the number of adsorbed particles and the…

Soft Condensed Matter · Physics 2015-09-02 C. S. Dias , C. Braga , N. A. M. Araujo , M. M. Telo da Gama

We consider a model for driven particulate matter in which absorbing states can be reached both by particle isolation and by particle caging. The model predicts a non-equilibrium phase diagram in which analogues of hydrodynamic and elastic…

Soft Condensed Matter · Physics 2020-03-04 Christopher Ness , Michael E. Cates

We discuss the relaxation kinetics of a one-dimensional dimer adsorption model as recently proposed for the binding of biological dimers like kinesin on microtubules. The non-equilibrium dynamics shows several regimes: irreversible…

Soft Condensed Matter · Physics 2007-05-23 Andrej Vilfan , Erwin Frey , Franz Schwabl

Adsorption of dimers is modelled using random sequential adsorption algorithm. The interaction between molecules is given by screened electrostatic potential. The paper focuses on the properties of adsorbed monolayers as well as the…

Materials Science · Physics 2013-05-14 Michal Ciesla , Jakub Barbasz

Random packing of spheres inside fractal collectors of dimension 2 < d < 3 is studied numerically using Random Sequential Adsorption (RSA) algorithm. The paper focuses mainly on the measurement of random packing saturation limit.…

Materials Science · Physics 2013-10-17 Michał Cieśla , Jakub Barbasz

Numerical simulations by means of Monte Carlo method and finite-size scaling analysis have been performed to study the percolation behavior of linear $k$-mers (also denoted in the literature as rigid rods, needles, sticks) on…

Disordered Systems and Neural Networks · Physics 2012-12-14 Yuri Yu. Tarasevich , Nikolai I. Lebovka , Valeri V. Laptev

We numerically investigate stress relaxation in soft athermal disks to reveal critical slowing down when the system approaches the jamming point. The exponents describing the divergence of the relaxation time differ dramatically depending…

Soft Condensed Matter · Physics 2020-03-25 Kuniyasu Saitoh , Takahiro Hatano , Atsushi Ikeda , Brian P. Tighe

We report a detailed and systematic study of wave propagation through a stochastic absorbing random medium. Stochastic absorption is modeled by introducing an attenuation constant per unit length $\alpha$ in the free propagation region of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Sandeep K. Joshi , Debendranath Sahoo , A. M. Jayannavar