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We introduce a novel approach, inspired from the theory of renewal processes, to determine the configurational entropy of ensembles of constrained configurations of particles on the one-dimensional lattice. The proposed method can deal with…

Statistical Mechanics · Physics 2023-05-31 P. L. Krapivsky , J. M. Luck

We simulate the collision of atomic clusters with a weakly attractive surface using molecular dynamics in a regime between soft-landing and fragmentation, where the cluster undergoes large deformation but remains intact. As a function of…

Materials Science · Physics 2007-05-23 A. Awasthi , S. C. Hendy , P. Zoontjens , S. A. Brown

We study the adsorption and desorption kinetics of interacting particles moving on a one-dimensional lattice. Confinement is introduced by limiting the number of particles on a lattice site. Adsorption and desorption are found to proceed at…

Statistical Mechanics · Physics 2014-12-16 T. Becker , K. Nelissen , B. Cleuren , B. Partoens , C. Van den Broeck

Colloidal droplets are used in a variety of practical applications. Some of these applications require particles of different sizes. These include medical diagnostic methods, the creation of photonic crystals, the formation of…

Soft Condensed Matter · Physics 2024-04-04 P. A. Zolotarev , K. S. Kolegov

We consider a branching random walk on the lattice, where the branching rates are given by an i.i.d. Pareto random potential. We show a very strong form of intermittency, where with high probability most of the mass of the system is…

Probability · Mathematics 2016-05-02 Marcel Ortgiese , Matthew I. Roberts

When a drop containing colloidal particles evaporates on a surface, a circular stain made of these particles is often observed due to an internal flow toward the contact line. To hinder this effect, several approaches have been proposed…

Soft Condensed Matter · Physics 2016-01-06 François Boulogne , François Ingremeau , Julien Dervaux , Laurent Limat , Howard A. Stone

An extended interference pattern close to surface may result in both a transmissive or evanescent surface fields for large area manipulation of trapped particles. The affinity of differing particle sizes to a moving standing wave light…

An ab-initio numerical study of the density-dependent, evolutionary stable dispersal strategy is presented. The simulations are based on a simple discretei generation island model with four processes: reproduction, dispersal, competition…

Populations and Evolution · Quantitative Biology 2013-01-09 Shlomit Weisman , Nadav M. Shnerb , David A. Kessler

Spontaneous segregation of run-and-tumble particles with different velocities in microchannels is investigated by numerical simulations. Self-propelled particles are known to accumulate in the proximity of walls. Here we show how fast…

Soft Condensed Matter · Physics 2014-09-05 Andrea Costanzo , Jens Elgeti , Thorsten Auth , Gerhard Gompper , Marisol Ripoll

We extend a previously proposed deposition model with two kinds of particles, considering the restricted solid-on-solid condition. The probability of incidence of particle C (A) is p (1-p). Aggregation is possible if the top of the column…

Statistical Mechanics · Physics 2009-11-07 S. S. Botelho , F. D. A. Aarao Reis

Random sequential adsorption of binary mixtures of extended objects on a two-dimensional triangular lattice is studied numerically by means of Monte Carlo simulations. The depositing objects are formed by self-avoiding random walks on the…

Statistical Mechanics · Physics 2009-11-13 I. Lončarević , Lj. Budinski-Petković , S. B. Vrhovac

Using computer simulation, we have studied the random sequential adsorption of stiff linear $k$-mers onto a square lattice. Each such particle occupies $k$ adjacent lattice sites. During deposition, the two mutually perpendicular…

Statistical Mechanics · Physics 2021-03-10 Mikhail V. Ulyanov , Yuri Yu. Tarasevich , Andrei V. Eserkepov , Irina V. Grigorieva

We studied the morphology of linear particle deposits obtained by inkjet-printing of silica nanoparticle suspension in drying condition where contact line depinning occurs. We show that this evaporation mode can be obtained by adjusting the…

Soft Condensed Matter · Physics 2020-12-09 N. Bridonneau , G. Mattana , V. Noël , S. Zrig , F. Carn

In this work we survey selected theoretical developments for models of deposition of extended particles, with and without surface diffusion, on linear and planar substrates, of interest in colloid, polymer, and certain biological systems.

Materials Science · Physics 2010-09-22 Vladimir Privman

Building structures with hierarchical order through the self-assembly of smaller blocks is not only a prerogative of nature, but also a strategy to design artificial materials with tailored functions. We explore in simulation the…

Soft Condensed Matter · Physics 2020-02-17 Santi Prestipino , Domenico Gazzillo , Gianmarco Munaò , Dino Costa

We study the size and shape of the final deposit obtained when a drop with colloidal particles has dried on a super-hydrophobic surface made of micro-posts. As expected, most of the particles lie inside a circular area, which radius roughly…

Soft Condensed Matter · Physics 2012-05-22 Philippe Brunet

During drying of colloidal suspensions, colloidal particles can form concentrated particle layers beneath the receding free surface. The drying rate can gradually decrease with the growth of the particle layers. We construct a model to…

Soft Condensed Matter · Physics 2023-06-22 Rei Tatsumi , Osamu Koike , Yukio Yamaguchi , Yoshiko Tsuji

We introduce a model of a preferential attachment based random graph which extends the family of models in which condensation phenomena can occur. Each vertex has an associated uniform random variable which we call its location. Our model…

Probability · Mathematics 2020-08-12 John Haslegrave , Jonathan Jordan , Mark Yarrow

We present a model for thin film growth by particle deposition that takes into account the possible evaporation of the particles deposited on the surface. Our model focuses on the formation of two-dimensional structures. We find that the…

Materials Science · Physics 2009-10-28 Pablo Jensen , Hernán Larralde , Alberto Pimpinelli

We explore analytically and numerically agglomeration driven by advection and localized source. The system is inhomogeneous in one dimension, viz. along the direction of advection. We analyze a simplified model with mass-independent…