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Related papers: Shapes for maximal coverage for two-dimensional ra…

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The study on the relationship between the spheres and voids in packing system suggests that the edge effect at the interface between the container and the particles is an important factor lowering the packing ratio. To pack spheres in a…

Statistical Mechanics · Physics 2015-03-13 Honghai Liu , Enyong Jiang , Chang Q. Sun , Bruce Z. Gao

The close packing density of log-normal and bimodal distributed, surface-adsorbed particles or discs in 2D is studied by numerical simulation. For small spread in particle size, the system orders in a polycrystalline structure of hexagonal…

Soft Condensed Matter · Physics 2012-01-27 Robert D. Groot , Simeon D. Stoyanov

Random sequential adsorption is an irreversible surface deposition of extended objects. In systems with continuous degrees of freedom coverage follows a power law, theta(t) = theta_J - c t^{-alpha}, where the exponent alpha depends on the…

Statistical Mechanics · Physics 2015-06-25 Jian-Sheng Wang

The method, proposed in \cite{Za22} to derive the densest packing fraction of random disc and sphere packings, is shown to yield in two dimensions too high a value that (i) violates the very assumption underlying the method and (ii)…

Disordered Systems and Neural Networks · Physics 2022-02-15 Raphael Blumenfeld

The absorption properties of a metaporous material made of non-resonant simple shape three-dimensional inclusions (cube, cylinder, sphere, cone and torus) embedded in a rigidly backed rigid frame porous material is studied. A nearly total…

We present an algorithm to simulate random sequential adsorption (random "parking") of discs on constant-curvature surfaces: the plane, sphere, hyperboloid, and projective plane, all embedded in three-dimensional space. We simulate complete…

Statistical Mechanics · Physics 2017-09-18 Elizabeth R. Chen , Miranda Holmes-Cerfon

We performed extensive Monte Carlo simulations of the irreversible adsorption of polydispersed disks inside the cells of a patterned substrate. The model captures relevant features of the irreversible adsorption of spherical colloidal…

Statistical Mechanics · Physics 2012-12-04 J. F. Marques , A. B. Lima , N. A. M. Araujo , A. Cadilhe

Random sequential addition (RSA) models are used in a large variety of contexts to model particle aggregation and jamming. A key feature of these models is the algebraic time dependence of the asymptotic jamming coverage as $t\to\infty$.…

Statistical Mechanics · Physics 2017-07-24 Adrian Baule

The problem of finding the most efficient way to pack spheres has an illustrious history, dating back to the crystalline arrays conjectured by Kepler and the random geometries explored by Bernal in the 60's. This problem finds applications…

Soft Condensed Matter · Physics 2014-09-15 Ping Wang , Chaoming Song , Yuliang Jin , Hernan A. Makse

Assemblies of anisotropic particles commonly appear in studies of active many-body systems. However, in two dimensions, the geometric ramifications of the finite density of such objects are not entirely understood. To fully characterize…

Biological Physics · Physics 2019-05-29 Jakov Lovrić , Sara Kaliman , Wolfram Barfuß , Gerd E. Schröder-Turk , Ana-Sunčana Smith

This survey concerns probabilistic models motivated by cooperative sequential adsorption (CSA) models. CSA models are widely used in physics and chemistry for modelling adsorption processes in which adsorption rates depend on the spatial…

Probability · Mathematics 2024-01-17 Vadim Shcherbakov

We analyze the contact and force networks in a dense confined packing of pentagonal particles simulated by means of the contact dynamics method. The particle shape effect is evidenced by comparing the data from pentagon packing and from a…

Classical Physics · Physics 2007-09-17 émilien Azema , Farhang Radjaï , Robert Peyroux , Gilles Saussine

We examine the reversible adsorption of hard spheres on a random site surface in which the adsorption sites are uniformly and randomly distributed on a plane. Each site can be occupied by one solute provided that the nearest occupied site…

Statistical Mechanics · Physics 2015-06-25 C. Oleyar , J. Talbot

Packing is a complex phenomenon of prominence in many natural and industrial processes (liquid crystals, granular materials, infiltration, melting, flow, sintering, segregation, sedimentation, compaction, etc.). A variety of computational…

Chemical Physics · Physics 2012-05-31 Danilo Sergi , Claudio D'Angelo , Giulio Scocchi , Alberto Ortona

Hypothesis: Colloidal molecules with anisotropic shapes and interactions are powerful model systems for deciphering the behavior of real molecules and building units for creating materials with designed properties. While many strategies for…

Soft Condensed Matter · Physics 2022-07-19 Yogesh Shelke , Susana Marín-Aguilar , Fabrizio Camerin , Marjolein Dijkstra , Daniela J. Kraft

In random sequential covering, identical objects are deposited randomly, irreversibly, and sequentially; only attempts increasing the coverage are accepted. A finite system eventually gets congested, and we study the statistics of congested…

Probability · Mathematics 2023-03-28 P. L. Krapivsky

The behavior of a system of two-dimensional elongated particles (discorectangles) packed into a slit between two parallel walls was analyzed using a simulation approach. The packings were produced using the random sequential adsorption…

Soft Condensed Matter · Physics 2021-12-09 Nikolai I. Lebovka , Mykhailo O. Tatochenko , Nikolai V. Vygornitskii , Yuri Yu. Tarasevich

Dense packings composed of irregular polyhedral particles are investigated by numerical simulations under quasistatic triaxial compression. The Contact Dynamics method is used for this investigation with 40 000 particles. The effect of…

Classical Physics · Physics 2015-05-13 Émilien Azema , Farhang Radjaï , Gilles Saussine

Dense random packings of hard particles are useful models of granular media and are closely related to the structure of nonequilibrium low-temperature amorphous phases of matter. Most work has been done for random jammed packings of…

Statistical Mechanics · Physics 2015-05-14 Y. Jiao , F. H. Stillinger , S. Torquato

We study the packing fraction of clusters in free-falling streams of spherical and irregularly shaped particles using flash X-ray radiography. The estimated packing fraction of clusters is low enough to correspond to coordination numbers…

Soft Condensed Matter · Physics 2021-03-31 Yuuya Nagaashi , Akiko M. Nakamura , Sunao Hasegawa , Koji Wada