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Graphene and other recently developed 2D materials exhibit exceptionally strong in-plane stiffness. Relaxation of few-layer structures, either free-standing or on slightly mismatched substrates occurs mostly through out-of-plane bending and…

Numerical Analysis · Mathematics 2016-06-09 Paul Cazeaux , Mitchell Luskin , Ellad B. Tadmor

The elastic response is studied of a single flexible chain grafted on a rigid plane and an ensemble of non-interacting tethered chains. It is demonstrated that the entropic theory of rubber elasticity leads to conclusions that disagree with…

Statistical Mechanics · Physics 2007-05-23 A. D. Drozdov

We demonstrate the emergence of self-organized structures in the course of the relaxation of an initially excited, dissipative and finite chain of interacting particles in a periodic potential towards its many particle equilibrium…

Adaptation and Self-Organizing Systems · Physics 2016-08-19 Benno Liebchen , Peter Schmelcher

We analyze the interaction of two conducting, charged polymer chains in solution using a minimal model for their electronic degrees of freedom. We show that a crossing of the two chains in which the polymers pass within Angstroms of each…

Soft Condensed Matter · Physics 2009-11-10 Jeremy D. Schmit , Alex J. Levine

This research paper comprehensively explores the effects of molecular weight and chain architecture on the interfacial and thermodynamic properties of cyclic and linear polymer blends. Utilizing the Kremer-Grest bead-spring model, the study…

Soft Condensed Matter · Physics 2025-07-11 Oluwatumininu Emmanuel Ayo-Ojo , Nkosinathi Dlamini

We analyze the stress tensor and the gyration tensor of an unentangled polymer melt under flow by using a Rouse-type single chain model. We employ the bead-spring type single chain model, in which beads interact each other via nonlinear…

Soft Condensed Matter · Physics 2025-06-30 Takashi Uneyama

We analyze the crystallization and collapse transition of a simple model for flexible polymer chains on simple cubic and face-centered cubic lattices by means of sophisticated chain-growth methods. In contrast to bond-fluctuation polymer…

Soft Condensed Matter · Physics 2009-11-13 Thomas Vogel , Michael Bachmann , Wolfhard Janke

Spurred by an experimental controversy in the literature, we investigate the end-monomer dynamics of semiflexible polymers through Brownian hydrodynamic simulations and dynamic mean-field theory. Precise experimental observations over the…

Soft Condensed Matter · Physics 2009-06-20 Michael Hinczewski , Xaver Schlagberger , Michael Rubinstein , Oleg Krichevsky , Roland R. Netz

The dynamical response of a tethered semiflexible polymer with self-attractive interactions and subjected to an external force field is numerically investigated by varying stiffness and self-interaction strength. The chain is confined in…

Soft Condensed Matter · Physics 2022-11-09 A. Lamura

Properties of 1,4-\textit{trans} poly (isoprene) at ambient conditions are determined by simulations on two length scales based on two different models: a full-atomistic and a mesoscopic one. The models are linked via a mapping scheme such…

Soft Condensed Matter · Physics 2009-11-07 Roland Faller , Dirk Reith

Semiflexible macromolecules in dilute solution under very good solvent conditions are modeled by self-avoiding walks on the simple cubic lattice ($d=3$ dimensions) and square lattice ($d=2$ dimensions), varying chain stiffness by an energy…

Soft Condensed Matter · Physics 2015-05-30 Hsiao-Ping Hsu , Kurt Binder

Linear viscoelastic properties for a dilute polymer solution are predicted by modeling the solution as a suspension of non-interacting bead-spring chains. The present model, unlike the Rouse model, can describe the solution's rheological…

Soft Condensed Matter · Physics 2020-07-03 J Ravi Prakash

A polymer-chain network is a collection of interconnected polymer-chains, made themselves of the repetition of a single pattern called a monomer. Our first main result establishes that, for a class of models for polymer-chain networks, the…

Mathematical Physics · Physics 2020-04-08 Marco Cicalese , Antoine Gloria , Matthias Ruf

The Rouse model with internal friction (RIF), a widely used theoretical framework to interpret the effects of internal friction on conformational transitions in biomolecules, is shown to be an approximate treatment that is based on…

Soft Condensed Matter · Physics 2022-06-07 R. Kailasham , Rajarshi Chakrabarti , J. Ravi Prakash

We consider the unwinding of two lattice polymer strands of length N that are initially wound around each other in a double-helical conformation and evolve through Rouse dynamics. The problem relates to quickly bringing a double-stranded…

Soft Condensed Matter · Physics 2010-10-25 M. Baiesi , G. T. Barkema , E. Carlon , D. Panja

We consider a general discrete model for heterogeneous semiflexible polymer chains. Both the thermal noise and the inhomogeneous character of the chain (the disorder) are modeled in terms of random rotations. We focus on the quenched…

Probability · Mathematics 2008-12-20 Francesco Caravenna , Giambattista Giacomin , Massimiliano Gubinelli

We explore the transport features of a single flexible polymer chain that walks on a periodic ratchet potential coupled with spatially varying temperature. At steady state the polymer exhibits a fast unidirectional motion where the…

Soft Condensed Matter · Physics 2015-07-20 Mesfin Asfaw Taye

We analyze static properties of a strongly confined semiflexible polymer, i.e. either trapped in a closed space or compressed by external forces, in an athermal solvent. Like a flexible polymer case, we can resort to an analogy with the…

Soft Condensed Matter · Physics 2009-11-13 Takahiro Sakaue

We study the swelling of a flexible linear chain composed of active particles by analytical theory and computer simulation. Three different situations are considered: a free chain, a chain confined to an external harmonic trap, and a chain…

Soft Condensed Matter · Physics 2015-03-31 Andreas Kaiser , Sonja Babel , Borge ten Hagen , Christian von Ferber , Hartmut Löwen

We consider the rupture dynamics of a homopolymer chain pulled at one end at a constant loading rate. Our model of the breakable polymer is related to the Rouse chain, with the only difference that the interaction between the monomers is…

Soft Condensed Matter · Physics 2009-10-29 S. Fugmann , I. M. Sokolov
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