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We review some recent coarse-graining and multi-scale methods, but also put forward some new ideas for addressing such issues. We find that, if one is guided by nonequilibrium statistical mechanics and thermodynamics, it is possible to…

Soft Condensed Matter · Physics 2009-11-06 Patrick Ilg , Vlasis Mavrantzas , Hans Christian Öttinger

Solutions of interacting linear polymers are mapped onto a system of ``soft'' spherical particles interacting via an effective pair potential. This coarse-graining reduces the individual monomer-level description to a problem involving only…

Soft Condensed Matter · Physics 2007-05-23 V. Krakoviack , J. P. Hansen , A. A. Louis

A dynamical atomistic chain to simulate mechanical properties of a one-dimensional material with zero temperature may be modelled by the molecular dynamics (MD) model. Because the number of particles (atoms) is huge for a MD model, in…

Numerical Analysis · Mathematics 2019-02-22 Mingjie Liao , Ping Lin

We present a computer simulation of entangled polymer solutions at equilibrium. The chains repel each other via a soft Gaussian potential, appropriate for semi-dilute solutions at the scale of a correlation blob. The key innovation to…

Computational Physics · Physics 2017-01-10 Airidas Korolkovas , Philipp Gutfreund , Jean-Louis Barrat

We propose a highly coarse-grained simulation model for crystalline polymer solids with crystalline lamellar structures. The mechanical properties of a crystalline polymer solid are mainly determined by the crystalline lamellar structures.…

Soft Condensed Matter · Physics 2025-01-13 Takashi Uneyama

We present a novel thermodynamically guided, low-noise, time-scale bridging, and pertinently efficient strategy for the dynamic simulation of microscopic models for complex fluids. The systematic coarse-graining method is exemplified for…

Soft Condensed Matter · Physics 2010-11-12 Patrick Ilg , Hans Christian Öttinger , Martin Kröger

A versatile and transferable coarse-grained (CG) model was developed to investigate the self-assembly of two ubiquitous methacrylate-based copolymers: poly(ethylene oxide-b-methylmethacrylate) (PEO-b-PMMA) and poly(ethylene…

Soft Condensed Matter · Physics 2018-05-29 Gerardo Campos-Villalobos , Flor R. Siperstein , Alessandro Patti

We consider three different continuum polymer models, that all depend on a tunable parameter r that determines the strength of the excluded-volume interactions. In the first model chains are obtained by concatenating hard spherocylinders of…

Soft Condensed Matter · Physics 2017-10-25 Giuseppe D'Adamo , Andrea Pelissetto

Coupled length and time scales determine the dynamic behavior of polymers and underlie their unique viscoelastic properties. To resolve the long-time dynamics it is imperative to determine which time and length scales must be correctly…

Soft Condensed Matter · Physics 2016-02-16 K. Michael Salerno , Anupriya Agrawal , Dvora Perahia , Gary S. Grest

Studying the conformations involved in the dimerization of cadherins is highly relevant to understand the development of tissue and its failure, which is associated with tumors and metastases. Experimental techniques, like X-ray…

Biomolecules · Quantitative Biology 2020-02-26 S. Terzoli , G. Tiana

A brief review of modeling and simulation methods for a study of polymers at interfaces is provided. When studying truly multiscale problems as provided by realistic polymer systems, coarse graining is practically unavoidable. In this…

Soft Condensed Matter · Physics 2009-10-19 Fathollah Varnik , Kurt Binder

The conformational behavior of a coarse-grained finite polymer chain near an attractive spherical surface was investigated by means of multicanonical Monte Carlo computer simulations. In a detailed analysis of canonical equilibrium data…

Soft Condensed Matter · Physics 2018-01-03 Handan Arkin , Wolfhard Janke

We implemented a coarse-graining procedure to construct mesoscopic models of complex molecules. The final aim is to obtain better results on properties depending on slow modes of the molecules. Therefore the number of particles considered…

Soft Condensed Matter · Physics 2009-10-31 Hendrik Meyer , Oliver Biermann , Roland Faller , Dirk Reith , Florian Mueller-Plathe

Atomistic or ab-initio molecular dynamics simulations are widely used to predict thermodynamics and kinetics and relate them to molecular structure. A common approach to go beyond the time- and length-scales accessible with such…

Based on the wormlike chain model, a coarse-grained description of the nonlinear dynamics of a weakly bending semiflexible polymer is developed. By means of a multiple scale perturbation analysis, a length-scale separation inherent to the…

Soft Condensed Matter · Physics 2007-12-04 Oskar Hallatschek , Erwin Frey , Klaus Kroy

A mesoscopic coarse-grain model for computationally-efficient simulations of biomembranes is presented. It combines molecular dynamics simulations for the lipids, modeled as elastic chains of beads, with multiparticle collision dynamics for…

Soft Condensed Matter · Physics 2015-06-04 Mu-Jie Huang , Raymond Kapral , Alexander S. Mikhailov , Hsuan-Yi Chen

A generalized understanding of protein dynamics is an unsolved scientific problem, the solution of which is critical to the interpretation of the structure-function relationships that govern essential biological processes. Here, we approach…

A challenging topic in materials engineering is the development of numerical models that can accurately predict material properties with atomistic accuracy, matching the scale and level of detail achieved by experiments. In this regard,…

Soft Condensed Matter · Physics 2024-10-31 Francesco Maria Bellussi , Matteo Ricci , Matteo Fasano , Otello Maria Roscioni

We propose a two-body spherically symmetric (isotropic) potential such that particles interacting by the potential self assemble into linear semiflexible polymeric chains without branching. By suitable control of the potential parameters we…

Soft Condensed Matter · Physics 2018-05-09 Alex Abraham , Apratim Chatterji

We introduce a closure model for coarse-grained kinetic theories of polar active fluids. Based on a quasi-equilibrium approximation of the particle distribution function, the model closely captures important analytical properties of the…

Soft Condensed Matter · Physics 2022-06-17 Scott Weady , David B. Stein , Michael J. Shelley