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We present a Bethe approximation to study lattice models of linear polymers. The approach is variational in nature and based on the cluster variation method (CVM). We focus on a model with $(i)$ a nearest neighbor attractive energy…

Statistical Mechanics · Physics 2009-10-31 Stefano Lise , Amos Maritan , Alessandro Pelizzola

The lattice cluster theory (LCT) for semiflexible linear telechelic melts, developed in paper I, is applied to examine the influence of chain stiffness on the average degree of self-assembly and the basic thermodynamic properties of linear…

Soft Condensed Matter · Physics 2015-06-29 Wen-Sheng Xu , Karl F. Freed

Understanding the nature of glass transition, as well as precise estimation of the glass transition temperature for polymeric materials, remain open questions in both experimental and theoretical polymer sciences. We propose a data-driven…

Soft Condensed Matter · Physics 2023-08-03 Atreyee Banerjee , Hsiao-Ping Hsu , Kurt Kremer , Oleksandra Kukharenko

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

We use non-equilibrium atomistic molecular dynamics simulations of unentangled melts of linear and star polymers ($\mathrm{C_{25}H_{52}}$) to study the steady-state viscoelastic response under confinement within nanoscale hematite $\left (…

Soft Condensed Matter · Physics 2023-03-17 Ahmet Burak Yıldırım , Aykut Erbaş , Luca Biancofiore

We present a spherically-symmetric, steady-state model of galaxy clusters in which radiative cooling from the hot gas is balanced by heat transport through turbulent mixing. We assume that the gas is in hydrostatic equilibrium, and describe…

Astrophysics · Physics 2009-11-10 Woong-Tae Kim , Ramesh Narayan

We study structural properties of a ring polymeric melt confined in a film in comparison to a linear counterpart using molecular dynamics simulations. Local structure orderings of ring and linear polymers in the vicinity of the surface are…

Soft Condensed Matter · Physics 2015-10-21 Eunsang Lee , YounJoon Jung

Numerical solutions of the mode-coupling theory (MCT) equations for a hard-sphere fluid confined between two parallel hard walls are elaborated. The governing equations feature multiple parallel relaxation channels which significantly…

Soft Condensed Matter · Physics 2020-08-05 Gerhard Jung , Michele Caraglio , Lukas Schrack , Thomas Franosch

We report the results of a molecular dynamics simulation of a supercooled binary Lennard-Jones mixture. By plotting the self intermediate scattering functions vs. rescaled time, we find a master curve in the $\beta$-relaxation regime. This…

Condensed Matter · Physics 2009-10-22 Walter Kob , Hans C. Andersen

We investigate by means of molecular dynamics simulation a coarse-grained polymer glass model focusing on (quasi-static and dynamical) shear-stress fluctuations as a function of temperature T and sampling time $\Delta t$. The linear…

Soft Condensed Matter · Physics 2018-01-17 I. Kriuchevskyi , J. P. Wittmer , H. Meyer , O. Benzerara , J. Baschnagel

We generalize and apply a microscopic force-level statistical mechanical theory of the activated dynamics of dilute spherical penetrants in glass-forming liquids to study the influence of permanent crosslinking in polymer networks on the…

Soft Condensed Matter · Physics 2023-06-09 Baicheng Mei , Tsai-Wei Lin , Charles E. Sing , Kenneth S. Schweizer

Given the vast differences in interaction details, describing the dynamics of structurally disordered materials in a unified theoretical framework presents a fundamental challenge to condensed-matter physics and materials science. Here, we…

Soft Condensed Matter · Physics 2025-08-12 Liang Gao , Hai-Bin Yu , Thomas B. Schrøder , Jeppe C. Dyre

New inelastic X-ray scattering experiments have been performed in liquid lithium at two different temperatures: T=475 K (slightly above the melting point) and 600 K. Taking advantage of the absence of any kinematical restriction and…

Disordered Systems and Neural Networks · Physics 2009-10-31 T. Scopigno , U. Balucani , G. Ruocco , F. Sette

We report the results of Monte Carlo simulations investigating the effect of a spherical confinement within a simple model for a flexible homopolymer. We use the parallel tempering method combined with multi-histogram reweighting analysis…

Soft Condensed Matter · Physics 2012-12-27 M. Marenz , J. Zierenberg , H. Arkin , W. Janke

Activity-mediated unjamming of a confluent glassy system is crucial for several biological processes, such as embryogenesis and cancer metastasis. During these processes, the cells progressively change their junction properties,…

Soft Condensed Matter · Physics 2025-05-13 Souvik Sadhukhan , Chandan Dasgupta , Saroj Kumar Nandi

While lot of measurements describe the relaxation dynamics of the liquid state, experimental data of the glass dynamics at high temperatures are much scarcer. We use ultrafast scanning calorimetry to expand the timescales of the glass to…

By Monte Carlo simulations of a variant of the bond-fluctuation model without topological constraints we examine the center-of-mass (COM) dynamics of polymer melts in $d=3$ dimensions. Our analysis focuses on the COM displacement…

We have developed a new multiscale simulation technique to investigate history-dependent flow behavior of entangled polymer melt, using a smoothed particle hydrodynamics simulation with microscopic simulators that account for the dynamics…

Soft Condensed Matter · Physics 2011-11-01 Takahiro Murashima , Takashi Taniguchi

We study the onset of rigidity near the glass transition (GT) in a short-chain polymer melt modelled by a bead-spring model, where all beads interact with Lennard-Jones potentials. The properties of the system are examined above and below…

Soft Condensed Matter · Physics 2009-11-10 Matthew L. Wallace , Bela Joos , Michael Plischke

The formation of chain-folded structures from the melt is observed in molecular dynamics simulations resembling the lamellae of polymer crystals. Crystallization and subsequent melting temperatures are related linearly to the inverse…

Soft Condensed Matter · Physics 2009-10-31 Hendrik Meyer , Florian Mueller-Plathe
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