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The statistical mechanics of a non-interacting polymer chain in the limit of a large number of monomers is considered when the total angular momentum, L, is fixed. The radius of gyration for a ring polymer in this situation is derived…

Statistical Mechanics · Physics 2009-11-13 J. M. Deutsch

We elucidate the elastic behavior of a wormlike chain in 3D under compression and provide exact solutions for the experimentally accessible force-extension relation in terms of generalized spheroidal wave functions. In striking contrast to…

Soft Condensed Matter · Physics 2019-11-11 Christina Kurzthaler

We study the propulsion of a one-dimensional (1D) polymer chain under sinusoidal external forces in the overdamped (low Reynolds number) regime. We show that, when hydrodynamical interactions are included, the polymer presents directional…

Soft Condensed Matter · Physics 2012-09-25 Daniel Santos-Oliván , Alessandro Fiasconaro , Fernando Falo

Using a transfer matrix technique, we calculate the entropy of polydisperse chains placed on a one-dimensional lattice, as a function of the density of internal and endpoint monomers. The polydispersivity is determined considering different…

Statistical Mechanics · Physics 2009-11-11 Jurgen F. Stilck , Minos A. Neta , Wellington G. Dantas

The recent high statistics measurement of the pp -> pp eta reaction at an excess energy Q=15.5 MeV has been analysed by means of partial wave decomposition of the cross section. Guided by the dominance of the final state 1S0 pp interaction…

Nuclear Theory · Physics 2009-11-10 Andrzej Deloff

Minute amount of long chain flexible polymer dissolved in a turbulent flow can drastically change flow properties, such as reducing the drag and enhancing mixing. One fundamental riddle is how these polymer additives interact with the…

Fluid Dynamics · Physics 2021-02-02 Yi-Bao Zhang , Eberhard Bodenschatz , Haitao Xu , Heng-Dong Xi

Interfacial properties of colloid--polymer mixtures are examined within an effective one--component representation, where the polymer degrees of freedom are traced out, leaving a fluid of colloidal particles interacting via polymer--induced…

Soft Condensed Matter · Physics 2007-05-23 A. Moncho-Jorda' , J. Dzubiella , J. P. Hansen , A. A. Louis

Chromatin looping is a major epigenetic regulatory mechanism in higher eukaryotes. Besides its role in transcriptional regulation, chromatin loops have been proposed to play a pivotal role in the segregation of entire chromosomes. The…

Soft Condensed Matter · Physics 2015-05-18 Manfred Bohn , Dieter W. Heermann

The change of the structure of concentrated colloidal suspensions upon addition of non-adsorbing polymer is studied within a two-component, Ornstein-Zernicke based liquid state approach. The polymers' conformational degrees of freedom are…

Soft Condensed Matter · Physics 2009-10-31 M. Fuchs , K. S. Schweizer

We relate possible cosmological variations in the mass ratio mu \equiv m_p/m_e and the fine structure constant alpha to long-range composition-dependent forces mediated by a scalar field. The differential acceleration eta in Eotvos-type…

High Energy Physics - Phenomenology · Physics 2010-10-27 Thomas Dent

A {\it new} formula for the force vs extension relation is derived from the discrete version of the so called {\it worm like chain} model. This formula correctly fits some recent experimental data on polymer stretching and some numerical…

Statistical Mechanics · Physics 2009-11-10 A. Rosa , T. X. Hoang , D. Marenduzzo , A. Maritan

We consider the complex polymer system, consisting of ring polymer connected to the $f_1$-branched star-like structure, in good solvent in presence of structural inhomogeneities. We assume, that structural defects are correlated at large…

Soft Condensed Matter · Physics 2018-03-14 K. Haydukivska , V. Blavatska

We use Brownian dynamics simulations and advanced topological profiling methods to characterize the out-of-equilibrium evolution of self-entanglement in linear polymers confined into nano-channels and under periodic compression. We…

Soft Condensed Matter · Physics 2020-06-22 Davide Michieletto , Enzo Orlandini , Matthew S Turner , Cristian Micheletti

We present an extremely simplified model of multiple-domains polymer stretching in an atomic force microscopy experiment. We portray each module as a binary set of contacts and decompose the system energy into a harmonic term (the…

Biomolecules · Quantitative Biology 2008-01-20 Carlo Guardiani , Franco Bagnoli

Coagulation-flocculation of pollutants and chelation of heavy metal ions are two widely used techniques in wastewater purification. Despite the differences between their respective mechanisms and inherent length scales, they bear much…

Soft Condensed Matter · Physics 2025-11-21 V. Blavatska , Ja. Ilnytskyi , E. Lähderanta

We calculate the mean end-to-end distance ($R$) of a self-avoiding polymer encapsulated in an infinitely long cylinder with radius $D$. A self-consistent perturbation theory is used to calculate $R$ as a function of $D$ for impenetrable…

Soft Condensed Matter · Physics 2016-08-31 G. Morrison , D. Thirumalai

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

On the basis of the thermodynamic theory of the excluded volume effects, we show that the size exponent varies abruptly, depending on the change of the segment concentration. For linear polymers, the exponent changes discontinuously from…

Soft Condensed Matter · Physics 2024-03-04 Kazumi Suematsu , Haruo Ogura , Seiichi Inayama , Toshihiko Okamoto

Large scale molecular dynamics simulations on graphic processing units (GPUs) are employed to study the scaling behavior of ring polymers with various topological constraints in melts. Typical sizes of rings containing $3_1$, $5_1$ knots…

Soft Condensed Matter · Physics 2015-09-04 Benjamin Trefz , Peter Virnau

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…

Soft Condensed Matter · Physics 2016-05-25 Sergei A. Egorov , Andrey Milchev , Peter Virnau , Kurt Binder