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We present a scaling theory describing the collapse of a homopolymer chain in poor solvent. At time t after the beginning of the collapse, the original Gaussian chain of length N is streamlined to form N/g segments of length R(t), each…

Soft Condensed Matter · Physics 2009-11-07 Cameron F. Abrams , Namkyung Lee , Sergei Obukhov

Semiflexible polymers in concentrated lyotropic solution are studied within a bead-spring model by molecular dynamics simulations, focusing on the emergence of a smectic A phase and its properties. We systematically vary the density of the…

Soft Condensed Matter · Physics 2019-01-28 Andrey Milchev , Arash Nikoubashman , Kurt Binder

We present a theoretical model for predicting the phase behavior of polymer solutions in which phase separation competes with oligomerization. Specifically, we consider scenarios in which the assembly of polymer chains into stoichiometric…

Soft Condensed Matter · Physics 2024-07-31 Tianhao Li , W. Benjamin Rogers , William M. Jacobs

We report grand canonical Monte Carlo simulations of the critical point properties of homopolymers within the Bond Fluctuation model. By employing Configurational Bias Monte Carlo methods, chain lengths of up to N=60 monomers could be…

Condensed Matter · Physics 2009-10-28 N. B. Wilding , M. Mueller , K. Binder

An innovative method is proposed to generate configurations of coarse grained models for polymer melts. This method, largely inspired by chemical ``radical polymerization'', is divided in three stages: (i) nucleation of radicals (reacting…

Statistical Mechanics · Physics 2007-12-24 Fabien Leonforte , Michel Perez , Olivier Lame , Jena-Louis Barrat

Computer simulation studies on the miscibility behavior and single chain properties in binary polymer blends are reviewed. We consider blends of various architectures in order to identify important architectural parameters on a coarse…

Statistical Mechanics · Physics 2007-05-23 Marcus Mueller

Polymerization and formation of crosslinked polymer networks are important processes in manufacturing, materials fabrication, and in the case of hydrated polymer networks, synthesis of biomedical materials, drug delivery, and tissue…

Soft Condensed Matter · Physics 2022-12-15 Sam C. P. Norris , Andrea M. Kasko , Tom Chou , Maria R. D'Orsogna

Polymer chains dissolved in a solvent take random conformations due to large internal degrees of freedom and are characterized geometrically by their average shape and size. The diffusive dynamics of such large macromolecules play an…

Soft Condensed Matter · Physics 2023-07-11 Prabeen Kumar Pattnayak , Aloke Kumar , Gaurav Tomar

Algebraic methods for the design of series of maximum distance separable (MDS) linear block and convolutional codes to required specifications and types are presented. Algorithms are given to design codes to required rate and required…

Information Theory · Computer Science 2022-07-14 Ted Hurley

Recent developments of microscopic mechanical experiments allow the manipulation of individual polymer molecules in two main ways: \textit{uniform} stretching by external forces and \textit{non-uniform} stretching by external fields. Many…

Biological Physics · Physics 2015-06-11 Fabio Manca , Stefano Giordano , Pier Luca Palla , Fabrizio Cleri , Luciano Colombo

Many research fields, reaching from social networks and epidemiology to biology and physics, have experienced great advance from recent developments in random graphs and network theory. In this paper we propose to view percolation on a…

Soft Condensed Matter · Physics 2019-08-21 Verena Schamboeck , Piet D. Iedema , Ivan Kryven

A number of recent experiments have provided detailed observations of the configurations of long DNA strands under nano-to-micrometer sized confinement. We therefore revisit the problem of an excluded volume polymer chain confined between…

Soft Condensed Matter · Physics 2011-03-23 Debasish Chaudhuri , Bela Mulder

Using the self-consistent field approach, the effect of asymmetry of the coil block on the microphase separation is focused in ABC coil-rod-coil triblock copolymers. For different fractions of the rod block $f_{\text B}$, some stable…

Disordered Systems and Neural Networks · Physics 2017-12-15 X. -G. Han , H. -H. Meng , Y. -H. Ma , S. -L. Ouyang

Star polymer undergoes a transformation from a group of loosely coupled chains at low number of arms to a dense hairy colloid at their high number. This change affects solubility, aggregation and rheological behavior and is of much…

Soft Condensed Matter · Physics 2019-06-20 Ostap Kalyuzhnyi , Khristine Haidukivska , Viktoria Blavatska , Jaroslav Ilnytskyi

We map the conformation space of a simple lattice polymer chain to a network, where (i) the vertices of the network have a one-to-one correspondence to the conformations of the chain, and (ii) a link between two vertices indicates the…

Soft Condensed Matter · Physics 2009-10-31 A. Scala , L. A. N. Amaral , M. Barthelemy

We develop a model to describe the properties of random assemblies of polydisperse hard spheres. We show that the key features to describe the system are (i) the dependence between the free volume of a sphere and the various coordination…

Disordered Systems and Neural Networks · Physics 2015-05-19 Maximilien Danisch , Yuliang Jin , Hernan A. Makse

Polymer networks invariably possess topological inhomogeneities in the form of loops and dangling ends. The macroscopic properties of such materials are directly dependent on the local cyclic topology around nodes and chains. Here, a new…

Materials Science · Physics 2024-06-27 Devosmita Sen , Bradley D. Olsen

Advanced chain-growth computer simulation methodologies have been employed for a systematic statistical analysis of the critical behavior of a polymer adsorbing at a substrate. We use finitesize scaling techniques to investigate the…

Soft Condensed Matter · Physics 2017-05-09 J. A. Plascak , Paulo H. L. Martins , Michael Bachmann

The effects of polymer concentration and chain length on aggregation in associative polymer solutions, are studied using self-consistent field lattice model. Only two inhomogenous morphologies, i.e. microfluctuation homogenous (MFH) and…

Soft Condensed Matter · Physics 2012-02-22 X. -G. Han , X. -F. Zhang , Y. -H. Ma , C. -X. Zhang , Y. -B. Guan

Colloidal patchy particles with divalent attractive interaction can self-assemble into linear polymer chains. Their equilibrium properties in 2D and 3D are well described by Wertheim's thermodynamic perturbation theory which predicts a…

Soft Condensed Matter · Physics 2022-09-21 H. J. Jonas , P. Schall , P. G. Bolhuis