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We have developed a theory of polymer entanglement using an extended Cahn-Hilliard functional, with two extra terms. One is a nonlocal attractive term, operating over mesoscales, which is interpreted as giving rise to entanglement, and the…

软凝聚态物质 · 物理学 2009-10-31 Shirish M. Chitanvis

We study the mechanical properties of semiflexible polymers when the contour length of the polymer is comparable to its persistence length. We compute the exact average end-to-end distance and shape of the polymer for different boundary…

生物大分子 · 定量生物学 2013-05-29 Yuko Hori , Ashok Prasad , Jane' Kondev

Understanding fluctuation-induced breakages in polymers has important implications for basic and applied sciences. Here I present for the first time an analytical treatment of the thermal breakage problem of a semi-flexible polymer model…

材料科学 · 物理学 2015-06-12 Chiu Fan Lee

We develop a theory of polymers in a nematic solvent by exploiting an analogy with two-dimensional quantum bosons at zero temperature. We argue that the theory should also describe polymers in an {\sl isotropic} solvent. The dense phase is…

凝聚态物理 · 物理学 2009-10-22 R. D. Kamien , P. Le Doussal , D. R. Nelson

We review recent results of the field theoretical renormalization group analysis on the scaling properties of star polymers. We give a brief account of how the numerical values of the exponents governing the scaling of star polymers were…

软凝聚态物质 · 物理学 2007-05-23 Christian von Ferber , Yurij Holovatch

The structure of flexible polymers endgrafted in cylindrical pores of diameter D is studied as a function of chain length N and grafting density \sigma, assuming good solvent conditions. A phenomenological scaling theory, describing the…

软凝聚态物质 · 物理学 2009-11-11 D. I. Dimitrov , A. Milchev , K. Binder

We study the dynamics of a polymer when it is quenched from a $\theta$ solvent into a good or bad solvent by means of a Langevin equation. The variation of the radius of gyration is studied as a function of time. For the first stage of…

软凝聚态物质 · 物理学 2008-02-03 E. Pitard , H. Orland

The process of adsorption on a planar repulsive, "marginal" and attractive wall of long-flexible polymer chains with excluded volume interactions is investigated. The performed scaling analysis is based on formal analogy between the polymer…

软凝聚态物质 · 物理学 2009-10-08 Z. Usatenko

Single partially confined collapsed polymers are studied in two dimensions. They are described by self-avoiding random walks with nearest-neighbour attractions below the $\Theta$-point, on the surface of an infinitely long cylinder. For the…

统计力学 · 物理学 2009-11-07 Hsiao-Ping Hsu , Peter Grassberger

We study the connection between polymers at the theta temperature on the lattice and Schramm-Loewner chains with constant step length in the continuum. The latter realize a useful algorithm for the exact sampling of tricritical polymers,…

统计力学 · 物理学 2015-06-16 Marco Gherardi

The non-equilibrium structural and dynamical properties of semiflexible polymers confined to two dimensions are investigated by molecular dynamics simulations. Three different scenarios are considered: The force-extension relation of…

软凝聚态物质 · 物理学 2013-01-08 A. Lamura , R. G. Winkler

We draw an analogy between droplet formation in dilute particle and polymer systems. Our arguments are based on finite-size scaling results from studies of a two-dimensional lattice gas to three-dimensional bead-spring polymers. To set the…

统计力学 · 物理学 2018-03-14 Wolfhard Janke , Johannes Zierenberg

We extend classical Flory-Rehner theory for the expansion and compression of porous materials such as cross-linked polymer networks. The theory includes volume exclusion, affinity with the solvent, and finite stretching of the polymer…

化学物理 · 物理学 2023-09-28 P. M. Biesheuvel , H. Fan , M. Elimelech

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…

软凝聚态物质 · 物理学 2017-05-09 J. A. Plascak , Paulo H. L. Martins , Michael Bachmann

The predictions of the polymer mode coupling theory for the finite size corrections to the transport coefficients of entangled polymeric systems are tested in comparisons with various experimental data. It is found that quantitative…

凝聚态物理 · 物理学 2009-10-30 Matthias Fuchs , Kenneth S. Schweizer

Solutions of semiflexible polymers confined by repulsive planar walls are studied by density functional theory and Molecular Dynamics simulations, to clarify the competition between the chain alignment favored by the wall and the depletion…

软凝聚态物质 · 物理学 2016-05-25 Sergei A. Egorov , Andrey Milchev , Peter Virnau , Kurt Binder

We determine the phase diagram of mixtures of spherical colloids and neutral nonadsorbing polymers in the thermal crossover region between the $\theta$ point and the good-solvent regime. We use the generalized free-volume theory (GFVT),…

软凝聚态物质 · 物理学 2015-10-09 Giuseppe D'Adamo , Andrea Pelissetto , Carlo Pierleoni

The stretching of brushes of long polymers grafted to a planar surface is investigated byMonte Carlo simulations in the limit of very high grafting densities, as achieved in recent experiments. The monomer density profiles are shown to…

软凝聚态物质 · 物理学 2009-11-13 Ivan Coluzza , Jean-Pierre Hansen

We discuss the validity and the outcome of a scaling hypothesis proposed by us some years ago, according to which the influence of the density on the slowing down of flow and relaxation in glassforming liquids and polymers is described…

化学物理 · 物理学 2007-05-23 Christiane Alba-Simionesco , Gilles Tarjus

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…

软凝聚态物质 · 物理学 2009-11-10 Franck Celestini , Thoma Frisch , Xabier Oyharcabal