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We consider systematic numerical approximation of a viscoelastic phase separation model that describes the demixing of a polymer solvent mixture. An unconditionally stable discretisation method is proposed based on a finite element…

数值分析 · 数学 2024-07-08 Aaron Brunk , Herbert Egger , Oliver Habrich , Maria Lukacova-Medvidova

Semiflexible polymers are widely used as a paradigm for understanding structural phases in biomolecules including folding of proteins. Here, we compare bead-spring and bead-stick variants of coarse-grained semiflexible polymer models that…

软凝聚态物质 · 物理学 2024-02-16 Wolfhard Janke , Suman Majumder , Martin Marenz , Subhajit Paul

When they are damaged or injured, soft biological tissues are able to self-repair and heal. Mechanics is critical during the healing process, as the damaged extracellular matrix (ECM) tends to be replaced with a new undamaged ECM supporting…

计算工程、金融与科学 · 计算机科学 2021-12-08 Di Zuo , Yiqian He , Stéphane Avril , Haitian Yang , Klaus Hackl

The recently introduced Thermodynamic Binding Networks (TBN) model was developed with the purpose of studying self-assembling systems by focusing on their thermodynamically favorable final states, and ignoring the kinetic pathways through…

新兴技术 · 计算机科学 2018-02-09 Cameron Chalk , Jacob Hendricks , Matthew J. Patitz , Michael Sharp

Optimization under uncertainty and risk is indispensable in many practical situations. Our paper addresses stability of optimization problems using composite risk functionals which are subjected to measure perturbations. Our main focus is…

最优化与控制 · 数学 2022-01-06 Darinka Dentcheva , Yang Lin , Spiridon Penev

Protein-mediated interactions are ubiquitous in the cellular environment, and particularly in the nucleus, where they are responsible for the structuring of chromatin. We show through molecular--dynamics simulations of a polymer surrounded…

生物大分子 · 定量生物学 2024-03-21 Francesco Borando , Guido Tiana

Lattice Boltzmann simulations have been very successful in simulating liquid-gas and other multi-phase fluid systems. However, the underlying second order analysis of the equation of motion has long been known to be insufficient to…

软凝聚态物质 · 物理学 2009-11-11 A. J. Wagner

Obtaining a rigorous and reliable method for linking computer simulations of polymer blends and composites at different length scales of interest is a highly desirable goal in soft matter physics. In this paper a multiscale modeling…

软凝聚态物质 · 物理学 2015-05-19 J. McCarty , M. G. Guenza

The process of protein folding from an unfolded state to a biologically active, folded conformation is governed by many parameters e.g the sequence of amino acids, intermolecular interactions, the solvent, temperature and chaperon…

软凝聚态物质 · 物理学 2010-10-19 Pragya Shukla

In this paper, we present an efficient numerical method to address a thermodynamically consistent gas flow model in porous media involving compressible gas and deformable rock. The accurate modeling of gas flow in porous media often poses…

数值分析 · 数学 2026-02-16 Huangxin Chen , Yuxiang Chen , Jisheng Kou , Shuyu Sun

Using the Gaussian Ansatz for the monomer-monomer correlation functions we derive a set of the self-consistent equations for determination of the conformational state in the bead-and-spring copolymer model. The latter is based on the…

软凝聚态物质 · 物理学 2007-05-23 Yu. A. Kuznetsov , E. G. Timoshenko

Dynamics of a polymer chain in solution gets significantly affected by the temperature and the frictional forces arising due to solvent viscosity. Here, using an explicit solvent framework for polymer simulation with the liberty to tune the…

软凝聚态物质 · 物理学 2024-09-11 Suman Majumder , Henrik Christiansen , Wolfhard Janke

Chemical thermodynamic models of solvent and solute activities predict the equilibrium behaviour of aqueous solutions. How-ever, these models are semi-empirical. They represent micro-scale ion and solvent behaviours that control the…

化学物理 · 物理学 2022-01-26 Xiangwen Wang , Simon L. Clegg , Devis Di Tommaso

Polymer electrolytes are critical for safe, high-energy-density solid-state batteries, yet discovering candidates that balance high ionic conductivity with high transference numbers remains a significant challenge. In this work, we develop…

材料科学 · 物理学 2026-02-20 Antonia S. Kuhn , Jurğis Ruža , KyuJung Jun , Pablo Leon , Rafael Gómez-Bombarelli

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…

软凝聚态物质 · 物理学 2026-02-17 Jalal Abdolahi , Dominic M. Robe , Ronald G. Larson , Elnaz Hajizadeh

Active polymers are ubiquitous in nature, and often kicked by persistent noises that break detailed balance. In order to capture the out-of-equilibrium dynamics of such active polymers, we propose a simple yet reliable analytical framework…

软凝聚态物质 · 物理学 2026-03-10 Takahiro Sakaue , Enrico Carlon

In this paper, we present a general numerical platform for designing accurate, efficient, and stable numerical algorithms for incompressible hydrodynamic models that obeys the thermodynamical laws. The obtained numerical schemes are…

数值分析 · 数学 2021-03-04 Jia Zhao

We report a novel multi-scale simulation methodology to quantitatively predict the thermodynamic behaviour of polymer mixtures, that exhibit phases with broken orientational symmetry. Our system consists of a binary mixture of oligomers and…

软凝聚态物质 · 物理学 2021-12-07 William S. Fall , Hima Bindu Kolli , Biswaroop Mukherjee , Buddhapriya Chakrabarti

The long time dynamics of polymeric materials has been extensively studied in the past through various experimental techniques and computer simulations. While computer simulations typically treat generic, simplified models, experiments deal…

软凝聚态物质 · 物理学 2008-09-10 Vagelis A. Harmandaris , Kurt Kremer

Creating amorphous solid states by randomly bonding an ensemble of dense liquid monomers is a common procedure which is applied to create a variety of materials such as epoxy resins, colloidal gels, and vitrimers. The properties of the…

软凝聚态物质 · 物理学 2024-01-26 Misaki Ozawa , Jean-Louis Barrat , Walter Kob , Francesco Zamponi