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We consider a system of clusters made of elementary building blocks, monomers, and evolving via collisions between diffusing monomers and immobile composite clusters. In our model, the cluster-monomer collision can lead to the attachment of…

Statistical Mechanics · Physics 2017-10-25 P. L. Krapivsky , W. Otieno , N. V. Brilliantov

The glass transition temperature and its connection to statistical properties of confined and free-standing polymer films of varying thickness containing unentangled to highly entangled bead-spring chains are studied by molecular dynamics…

Soft Condensed Matter · Physics 2023-09-21 Hsiao-Ping Hsu , Kurt Kremer

The presence of stable topological defects in a two-dimensional (\textit{d} = 2) liquid crystal model allowing molecular reorientations in three dimensions (\textit{n} = 3) was largely believed to induce defect-mediated…

Soft Condensed Matter · Physics 2018-11-28 B. Kamala Latha , V. S. S. Sastry

The collapse of flexible polyelectrolytes in a solution of multivalent counterions is studied by means of a two state model. The states correspond to rod-like and spherically collapsed conformations respectively. We focus on the very dilute…

Soft Condensed Matter · Physics 2009-10-31 Francisco J. Solis , Monica Olvera de la Cruz

The effect of polydispersity on the freezing transition of hard spheres is examined within a moment description. At low polydispersities a single fluid-to-crystal transition is recovered. With increasing polydispersity we find a density…

Soft Condensed Matter · Physics 2007-05-23 Paul Bartlett , Patrick B. Warren

We investigate steady-state current fluctuations in two models of run-and-tumble particles (RTPs) on a ring of $L$ sites, for \textit{arbitrary} tumbling rate $\gamma=\tau_p^{-1}$ and density $\rho$; model I consists of standard hardcore…

Statistical Mechanics · Physics 2024-04-17 Tanmoy Chakraborty , Punyabrata Pradhan

We have used computer simulation to study the collapse of a hydrophobic chain in water. We find that the mechanism of collapse is much like that of a first order phase transition. The evaporation of water in the vicinity of the polymer…

Soft Condensed Matter · Physics 2007-05-23 Pieter Rein ten Wolde , David Chandler

Bead spring models for polymers in solution are nonlinear if either the finite extensibility of the polymer, excluded volume effects or hydrodynamic interactions between polymer segments are taken into account. For such models we use a…

Soft Condensed Matter · Physics 2009-11-07 Roland Rzehak , Walter Zimmermann

Previous theories of dilute polymer solutions have failed to distinguish clearly between two very different ways of taking the long-chain limit: (I) $N \to\infty$ at fixed temperature $T$, and (II) $N \to\infty$, $T \to T_\theta$ with $x…

High Energy Physics - Lattice · Physics 2010-12-17 Alan D. Sokal

The coil-globule transition has been studied for A-B copolymer chains both by means of lattice Monte Carlo simulations using bond fluctuation algorithm and by a numerical self-consistent field method. Copolymer chains of fixed length with A…

Conformations of a single-component bottle-brush polymer with a fully flexible backbone under poor solvent conditions are studied by molecular-dynamics simulations, using a coarse-grained bead-spring model with side chains of up to N=40…

Soft Condensed Matter · Physics 2013-06-25 Nikolaos G. Fytas , Panagiotis E. Theodorakis

We have studied the transition in shape of two dimensional polyampholytes using Monte Carlo simulation. We observe that polymers with randomly charged monomers get into a globular shape at lower temperatures, provided that their total…

Condensed Matter · Physics 2007-05-23 M. R. Ejtehadi , S. Rouhani

Investigations of strain correlations at the glass transition reveal unexpected phenomena. The shear strain fluctuations show an Eshelby-strain pattern ($\,\sim \cos{(4\theta)}/r^2\,$), characteristic for elastic response, even in liquids…

Soft Condensed Matter · Physics 2016-11-15 Bernd Illing , Sebastian Fritschi , David Hajnal , Christian Klix , Peter Keim , Matthias Fuchs

The recent investigation of chains of Rydberg atoms has brought back the problem of commensurate-incommensurate transitions into the focus of current research. In 2D classical systems, or in 1D quantum systems, the commensurate melting of a…

Strongly Correlated Electrons · Physics 2021-04-19 Natalia Chepiga , Frédéric Mila

The equilibrium thermodynamic properties of a linear polymer chain confined to a space between two impenetrable walls (lines) at a distance $D$ under various solvent conditions have been studied using series analysis and exact enumeration…

Statistical Mechanics · Physics 2007-05-23 P. K. Mishra , Sanjay Kumar

Supercooled liquid state is a particularly interesting state in that it exhibits several unusual physical properties. To illustrate, the liquid displays a single peak relaxation frequency at high temperatures, which splits into $\alpha$…

Soft Condensed Matter · Physics 2024-12-17 Wenlong Jiang

An extended polymer collapses to form a globule when subjected to a quench below the collapse transition temperature. The process begins with the formation of clusters of monomers or ``pearls''. The nascent clusters merge, resulting in…

Soft Condensed Matter · Physics 2026-03-12 Suman Majumder , Saikat Chakraborty

We investigate ice polyamorphism in the context of the two-dimensional Mercedes-Benz model of water. We find a first-order phase transition between a crystalline phase and a high-density amorphous phase. Furthermore we find a reversible…

Mesoscale and Nanoscale Physics · Physics 2013-01-25 Julyan H. E. Cartwright , Oreste Piro , Pedro A. Sánchez , Tomás Sintes

Crystals with low latent heat are predicted to melt from an entropically stabilized body-centered cubic symmetry. At this weakly first-order transition, strongly correlated fluctuations are expected to emerge, which could change the nature…

Soft Condensed Matter · Physics 2017-02-28 Joris Sprakel , Alessio Zaccone , Frans Spaepen , Peter Schall , David A. Weitz

Effective and fast convergence toward an equilibrium state for long-chain polymer melts is realized by a hybrid method coupling molecular dynamics and the elastic continuum. The required simulation time to achieve the equilibrium state is…

Materials Science · Physics 2012-10-23 Yasuhiro Senda , Miyuki Fujio , Shuji Shimamura , Janne Blomqvist , Risto M Nieminen
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