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The slip phenomena in thin polymer films confined by either flat or periodically corrugated surfaces are investigated by molecular dynamics and continuum simulations. For atomically flat surfaces and weak wall-fluid interactions, the shear…

Soft Condensed Matter · Physics 2008-10-15 Anoosheh Niavarani , Nikolai V. Priezjev

We compute the distribution of the work done in stretching a Gaussian polymer, made of N monomers, at a finite rate. For a one-dimensional polymer undergoing Rouse dynamics, the work distribution is a Gaussian and we explicitly compute the…

Statistical Mechanics · Physics 2009-11-10 Abhishek Dhar

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

We analyse bead--spring polymers coupled to Navier--Stokes turbulence in ultra--dilute solutions at Weissenberg number \(Wi\approx 80\). The polymers do not alter the large-scale turbulent structure, but hydrodynamic interactions generate…

Fluid Dynamics · Physics 2026-05-26 Demosthenes Kivotides

We report on quantitative comparisons between simulation results of a bead-spring model and mode-coupling theory calculations for the structural and conformational dynamics of a supercooled, unentangled polymer melt. We find…

Soft Condensed Matter · Physics 2009-11-13 Song-Ho Chong , Martin Aichele , Hendrik Meyer , Matthias Fuchs , Jörg Baschnagel

The two-dimensional cage model for polymer motion is discussed with an emphasis on the effect of sideways motions, which cross the barriers imposed by the lattice. Using the Density Matrix Method as a solver of the Master Equation, the…

Statistical Mechanics · Physics 2009-11-11 Andrzej Drzewinski , J. M. J. van Leeuwen

Loop extrusion convincingly describes how certain Structural Maintenance of Chromosome (SMC) proteins mediate the formation of large DNA loops. Yet, most of the existing computational models cannot reconcile recent in vitro observations…

Soft Condensed Matter · Physics 2022-01-12 Andrea Bonato , Davide Michieletto

We report results of molecular-dynamics simulations for a glassy polymer melt consisting of short, linear bead-spring chains. It was shown in previous work that this onset of the glassy slowing down is compatible with the predictions of the…

Soft Condensed Matter · Physics 2009-10-31 C. Bennemann , J. Baschnagel , W. Paul , K. Binder

We investigate extensional viscosity and polymer conformation in dilute polymer solutions under uniaxial extensional flow using dissipative particle dynamics simulations. At high extension rates, polymers are significantly stretched by…

Soft Condensed Matter · Physics 2025-11-27 Yusuke Koide , Takato Ishida , Takashi Uneyama , Yuichi Masubuchi

A pseudo-polynomial time $(1 + \varepsilon)$-approximation algorithm is presented for computing the integral and average Fr\'{e}chet distance between two given polygonal curves $T_1$ and $T_2$. In particular, the running time is…

Computational Geometry · Computer Science 2015-12-11 Anil Maheshwari , Jörg-Rüdiger Sack , Christian Scheffer

Single two dimensional polymers confined to a strip are studied by Monte Carlo simulations. They are described by N-step self-avoiding random walks on a square lattice between two parallel hard walls with distance 1 << D << N^\nu (\nu = 3/4…

Soft Condensed Matter · Physics 2007-05-23 Hsiao-Ping Hsu , Peter Grassberger

Quasielastic neutron scattering and molecular dynamics simulation data from PEO/PMMA blends found that for short times the self-dynamics of PEO chain follows the Rouse model, but at longer times past tc=1 to 2 ns it becomes slower and…

Soft Condensed Matter · Physics 2011-09-21 K. L. Ngai , Limin Wang

An extended generalization of the dynamic random phase approximation (DRPA) for L-component polymer systems is presented. Unlike the original version of the DRPA, which relates the (LxL) matrices of the collective density-density time…

Soft Condensed Matter · Physics 2009-11-10 Igor Ya. Erukhimovich , Yaroslav V. Kudryavtsev

We compute exactly the mean perimeter <L(T)> and the mean area <A(T)> of the convex hull of a random acceleration process of duration T in two dimensions. We use an exact mapping that relates, via Cauchy's formulae, the computation of the…

Statistical Mechanics · Physics 2012-06-22 Alexis Reymbaut , Satya N. Majumdar , Alberto Rosso

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

Polymer Physics: Phenomenology of Polymeric Fluid Simulations is a review volume that I am writing. I anticipate it will take a while to complete, so I am supplying individual chapters when each is more-or-less completed. This Chapter…

Soft Condensed Matter · Physics 2022-10-26 George D. J. Phillies

The calculation of Euclidean distance between points is generalized to one-dimensional objects such as strings or polymers. Necessary and sufficient conditions for the minimal transformation between two polymer configurations are derived.…

Soft Condensed Matter · Physics 2009-11-13 Ali R. Mohazab , Steven S. Plotkin

Generically, a fully measured elasticity tensor has no material symmetry. For single crystals with a cubic lattice, or for the aeronautics turbine blades superalloys such as Nickelbased CMSX-4, cubic symmetry is nevertheless expected. It is…

Optimization and Control · Mathematics 2022-03-29 Perla Azzi , Rodrigue Desmorat , Boris Kolev , Fabien Priziac

Polymer entanglements lead to complicated topological constraints and interactions between neighbouring chains in a dense solution or melt. Entanglements can be treated in a mean field approach, within the famous reptation model, since they…

Soft Condensed Matter · Physics 2007-05-23 S. Kutter , E. M. Terentjev

We report the results of extensive Dynamic Monte Carlo simulations of systems of self-assembled Equilibrium Polymers without rings in good solvent. Confirming recent theoretical predictions, the mean-chain length is found to scale as $\Lav…

Soft Condensed Matter · Physics 2009-10-31 J. P. Wittmer , A. Milchev , M. E. Cates