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Polymers consisting of more than one type of monomer, known as copolymers, are vital to both living and synthetic systems. Copolymerisation has been studied theoretically in a number of contexts, often by considering a Markov process in…

In this paper we study newly developed methods for linear elasticity on polyhedral meshes. Our emphasis is on applications of the methods to geological models. Models of subsurface, and in particular sedimentary rocks, naturally lead to…

Numerical Analysis · Mathematics 2016-04-29 Nilsen Halvor , Nordbotten Jan , Raynaud Xavier

The lattice-Boltzmann method (LBM) and its variants have emerged as promising, computationally efficient and increasingly popular numerical methods for modelling complex fluid flow. However, it is acknowledged that the method can…

Statistical Mechanics · Physics 2007-05-23 R. A. Brownlee , A. N. Gorban , J. Levesley

Molecular dynamics simulations were performed for a polymer melt. In quiescent states, the inter-chain interaction energy supported by each particle takes relatively large values persistently for long times if the particle is close to an…

Soft Condensed Matter · Physics 2007-05-23 Ryoichi Yamamoto , Akira Onuki

We study numerically a lattice model of semiflexible homopolymers with nearest neighbor attraction and energetic preference for straight joints between bonded monomers. For this we use a new algorithm, the "Pruned-Enriched Rosenbluth…

Statistical Mechanics · Physics 2009-10-30 Ugo Bastolla , Peter Grassberger

Ladder polymers, known for their rigid, ladder-like structures, exhibit exceptional thermal stability and mechanical strength, positioning them as candidates for advanced applications. However, accurately determining their structure from…

Soft Condensed Matter · Physics 2025-05-23 Lijie Ding , Chi-Huan Tung , Zhiqiang Cao , Zekun Ye , Xiaodan Gu , Yan Xia , Wei-Ren Chen , Changwoo Do

Characteristics of relaxed density profile and conformation of polymer chains are studied by a Monte Carlo simulation on a discrete lattice in three dimensions using different segmental (kink-jump $K$, crank-shaft $C$, reptation $R$)…

Soft Condensed Matter · Physics 2007-05-23 Frank W. Bentrem , Jun Xie , R. B. Pandey

Dimerized valence bond solids appear naturally in spin-1/2 systems on bipartite lattices, with the geometric frustrations playing a key role both in their stability and the eventual `melting' due to quantum fluctuations. Here, we ask the…

Strongly Correlated Electrons · Physics 2022-09-22 Yi Xu , Tianfu Fu , Juraj Hasik , Andriy H. Nevidomskyy

This paper reviews recent Monte Carlo simulation studies of the glassy behavior in thin polymer films. The simulations employ a version of the bond-fluctuation lattice model, in which the glass transition is driven by the competition…

Soft Condensed Matter · Physics 2007-05-23 C. Mischler , J. Baschnagel , K. Binder

Predicting the rheological behavior of associative polymers bridging colloidal particles into transient networks is fundamentally challenging because the coupled spatiotemporal scales prevent efficient molecular-fidelity modeling. We…

Soft Condensed Matter · Physics 2026-02-17 Jalal Abdolahi , Dominic M. Robe , Ronald G. Larson , Elnaz Hajizadeh

We performed molecular dynamics simulations to study equilibrium and flow properties of a liquid in a nano-channel with confining surfaces coated with a layer of grafted semiflexible polymers. The coverage spans a wide range of grafting…

Computational Physics · Physics 2015-09-30 Kevin Speyer , Claudio Pastorino

Herein an alternative model to reptation to describe concentrated polymer dynamics is developed. The model assumes that the chains act as blobs that are able to diffuse past each other in a compressed state. Allowing that the local…

Soft Condensed Matter · Physics 2022-02-25 Dave E. Dunstan

We study the diffusion of a linear polymer in the presence of permeable membranes without excluded volume interactions, using scaling theory and Monte Carlo simulations. We find that the average time it takes for a chain with polymerization…

Condensed Matter · Physics 2016-08-31 Hyoungsoo Yoon , J. M. Deutsch

A novel notion for constructing a well-balanced scheme - a gradient-robust scheme - is introduced and a showcase application for a steady compressible, isothermal Stokes equations is presented. Gradient-robustness means that arbitrary…

Numerical Analysis · Mathematics 2020-06-24 Mine Akbas , Thierry Gallouet , Almut Gassmann , Alexander Linke , Christian Merdon

This paper introduces a unified model for thermo-poroelasticity and multiple-network poroelasticity, reformulated into a total-pressure-based system. We first establish the well-posedness of the problem via a Galerkin-based argument and…

Numerical Analysis · Mathematics 2026-04-01 Huipeng Gu , Mingchao Cai , Jingzhi Li , Yu Jiang

Nonequilibrium molecular dynamics simulations are used to study the deformation behavior of disperse polymer melts by tracking test chains of length N = Mw, the weight average molecular weight, in melts of varying dispersity. At high strain…

Soft Condensed Matter · Physics 2025-07-29 Taofeek Tejuosho , Janani Sampath

We perform kinetic Monte Carlo simulations of flow-induced nucleation in polymer melts with an algorithm that is tractable even at low undercooling. The configuration of the non-crystallized chains under flow is computed with a recent…

Soft Condensed Matter · Physics 2015-05-14 Richard S. Graham , Peter D. Olmsted

Whereas the first part of this paper dealt with the relaxation in the beta-regime, this part investigates the final (alpha) relaxation of a simulated polymer melt consisting of short non-entangled chains above the critical temperature Tc of…

Soft Condensed Matter · Physics 2007-05-23 M. Aichele , J. Baschnagel

We investigate the universality of entanglement kinetics in polymer melts. We compare predictions of a recently developed constitutive equation for disentanglement to molecular dynamics simulations of both united-atom polyethylene and…

Soft Condensed Matter · Physics 2024-07-09 Benjamin E. Dolata , Marco A Galvani Cunha , Thomas O'Connor , Austin Hopkins , Peter D. Olmsted

We study the unfolding of a single polymer chain due to an external force. We use a simplified model which allows to perform all calculations in closed form without assuming a Boltzmann-Gibbs form for the equilibrium distribution.…

Statistical Mechanics · Physics 2009-11-13 Erik Van der Straeten , Jan Naudts
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