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We consider the adsorption of a random heteropolymer onto an interface within the model by Garel et al. [1] by taking into account self-interactions between the monomers. Within the replica trick and by using a self-consistent preaveraging…

Soft Condensed Matter · Physics 2009-11-07 Valerii A. Brazhnyi , Semjon Stepanow

We discuss how information encoded in a template polymer can be stochastically copied into a copy polymer. We consider four different stochastic copy protocols of increasing complexity, inspired by building blocks of the mRNA translation…

Subcellular Processes · Quantitative Biology 2016-03-23 Simone Pigolotti , Pablo Sartori

Physisorption or chemisorption from dilute polymer solutions often entails irreversible polymer-surface bonding. We present a theory of the non-equilibrium layers which result. While the density profile and loop distribution are the same as…

Soft Condensed Matter · Physics 2009-11-07 Ben O'Shaughnessy , Dimitrios Vavylonis

We study the influence of structural obstacles in a disordered environment on the size and shape characteristics of long flexible polymer macromolecules. We use the model of self-avoiding random walks on diluted regular lattices at the…

Soft Condensed Matter · Physics 2010-11-22 Viktoria Blavatska , Wolfhard Janke

Rotational anisotropy second harmonic generation (RA-SHG) is a nonlinear optical technique used to probe the symmetry of condensed matter systems. Measuring the dependence of the SHG susceptibility on one or more external parameters,…

Materials Science · Physics 2025-04-08 Karna A. Morey , Bryan T. Fichera , Baiqing Lv , Zonqi Shen , Nuh Gedik

The present paper reports a novel behavior involving regular polygons with n sides and filled to varying degrees with granular materials. These are comprised of a set of hollow polygons produced on a 3D printer, and a single larger hollow…

Classical Physics · Physics 2020-05-05 Sidney Eckert , Phillip Ingalls , J. West

We show that an analogy between crowding in fluid and jammed phases of hard spheres captures the density dependence of the kissing number for a family of numerically generated jammed states. We extend this analogy to jams of mixtures of…

Studies of random close packing of spheres have advanced our knowledge about the structure of systems such as liquids, glasses, emulsions, granular media, and amorphous solids. When these systems are confined their structural properties…

Soft Condensed Matter · Physics 2009-12-17 Kenneth W. Desmond , Eric R. Weeks

Adsorption of polymers to surfaces is crucial for understanding many fundamental processes in nature. Recent experimental studies indicate that the adsorption dynamics is dominated by non-equilibrium effects. We investigate the adsorption…

Soft Condensed Matter · Physics 2009-05-12 Debabrata Panja , Gerard T. Barkema , Anatoly B. Kolomeisky

Using molecular dynamic simulation, we study the stretching of an adsorbed homopolymer in a poor solvent with one end held at a distance $z_e$ from the substrate. We measure the vertical force $f$ on the end of the chain as a function of…

Soft Condensed Matter · Physics 2009-11-10 Franck Celestini , Thoma Frisch , Xabier Oyharcabal

The conformational behavior of a coarse-grained finite polymer chain near an attractive spherical surface was investigated by means of multicanonical Monte Carlo computer simulations. In a detailed analysis of canonical equilibrium data…

Soft Condensed Matter · Physics 2018-01-03 Handan Arkin , Wolfhard Janke

We consider a general model of a heterogeneous polymer chain fluctuating in the proximity of an interface between two selective solvents. The heterogeneous character of the model comes from the fact that the monomer units interact with the…

Probability · Mathematics 2009-09-29 Francesco Caravenna , Giambattista Giacomin , Lorenzo Zambotti

Polymer particle size constitutes a crucial characteristic of product quality in polymerization. Raman spectroscopy is an established and reliable process analytical technology for in-line concentration monitoring. Recent approaches and…

Machine Learning · Computer Science 2024-03-14 Eleni D. Koronaki , Luise F. Kaven , Johannes M. M. Faust , Ioannis G. Kevrekidis , Alexander Mitsos

With a novel 3D discrete-element method specially developed with adhesive contact mechanics, random loose packings of uniform spherical micron-sized particles are fully investigated. The results show that large velocity, large size or weak…

Soft Condensed Matter · Physics 2016-09-12 Wenwei Liu , Shuiqing Li , Sheng Chen

Combining experimental procedures and theoretical modeling, we studied patterns, shapes, and growth of a special type of SuperAbsorbent Polymers (SAP). At the initial stage, embed in water, we have a polygonal pattern over a spherical form,…

Soft Condensed Matter · Physics 2015-11-30 Mauro Kyotoku , Edvaldo Nogueira , Bernardo B. C. Kyotoku , Charlie Salvador

Three-dimensional (3D) antiferromagnets with random magnetic anisotropy (RMA) experimentally studied to date do not have random single-ion anisotropies, but rather have competing two-dimensional and three-dimensional exchange interactions…

There are (at least) two reasons to study random polytopes. The first is to understand the combinatorics and geometry of random polytopes especially as compared to other classes of polytopes, and the second is to analyze average-case…

Probability · Mathematics 2019-05-02 Andrew Newman

Scale-free surfaces, such as cones, remain unchanged under a simultaneous expansion of all coordinates by the same factor. Probability density of a particle diffusing near such absorbing surface at large time approaches a simple form that…

Statistical Mechanics · Physics 2015-04-28 Nir Alfasi , Yacov Kantor

We propose a generalized car parking problem where cars of two different sizes are sequentially parked on a line with a given probability $q$. The free parameter $q$ interpolates between the classical car parking problem of only one car…

Statistical Mechanics · Physics 2009-11-07 M. K. Hassan , J. Schmidt , B. Balsius , J. Kurths

We investigate both analytically and by numerical simulation the kinetics of a microscopic model of hard rods adsorbing on a linear substrate, a model which is relevant for compaction of granular materials. The computer simulations use an…

Statistical Mechanics · Physics 2009-10-31 J. Talbot , G. Tarjus , P. Viot