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Polynomial dynamical systems describing interacting particles in the plane are studied. A method replacing integration of a polynomial multi--particle dynamical system by finding polynomial solutions of a partial differential equations is…

Exactly Solvable and Integrable Systems · Physics 2014-07-08 Maria V. Demina , Nikolai A. Kudryashov

Encapsulation of chemicals using polymer membranes enables to control their transport and delivery for applications such as agrochemistry or detergency. To rationalize the design of polymer capsules, it is necessary to understand how the…

Soft Condensed Matter · Physics 2018-12-18 Corentin Tregouët , Thomas Salez , Mathilde Reyssat , Cécile Monteux

Field-theoretical method is efficient in predicting the assembling structures of polymeric systems. However, for the polymer/nanoparticle mixture, the continuous density description is not suitable to capture the realistic assembly of…

Soft Condensed Matter · Physics 2017-05-17 Hui-shu Li , Bo-kai Zhang , Jian Li , Wen-de Tian , Kang Chen

Multiphase poromechanics describes the evolution of multiphase flow in deformable porous media. Mathematical models for such multiphysics system are inheritely nonlinear, potentially degenerate and fully coupled systems of partial…

Analysis of PDEs · Mathematics 2023-12-05 Jakub Wiktor Both , Clément Cancès

The Flory Huggins equation of state for monodisperse polymers can be turned into a density functional by adding a square gradient term, with a coefficient fixed by appeal to RPA (random phase approximation). We present instead a model…

Soft Condensed Matter · Physics 2009-11-07 I. Pagonabarraga , M. E. Cates

A simple model for the formation of the polymer-enzyme conjugates has been proposed and described using corresponding extension of the Wertheim's first-order thermodynamic perturbation theory (TPT1) for the system of associating chain…

Soft Condensed Matter · Physics 2025-03-12 Halyna Butovych , Yurij V. Kalyuzhnyi , Taras Patsahan , Jaroslav Ilnytskyi

In this paper I describe the computer simulations that I have performed to critically examine the Lauritzen-Hoffman and the Sadler-Gilmer theories of polymer crystallization. In particular, I have computed the free energy profile for…

Condensed Matter · Physics 2007-05-23 Jonathan Doye

Traditionally, solubility and mixing belong to the realm of chemistry and material sciences and many standard textbooks on physical chemistry treat this problem, usually within the scope of thermodynamics. Here apart from thermodynamics we…

Condensed Matter · Physics 2007-05-23 Robert Holyst

Traditional plastics demand a choice between durability (thermosets) and reprocessability (thermoplastics). Vitrimers are a recent class of polymer network combining both these qualities. Their increased cost of production can be offset by…

Soft Condensed Matter · Physics 2026-03-27 A. A. Rispo Constantinou , B. Magyari , G. Ianniruberto , E. van Ruymbeke , D. J. Read

In this work, Flory-Huggins phase diagrams for correlated random copolymers with realistic chain lengths are calculated. This is achieved in two steps. At first we derive a distribution function of copolymer chains with respect to…

Soft Condensed Matter · Physics 2021-03-17 Elena Patyukova , Erte Xi , Mark R. Wilson

We propose a high-speed and accurate hybrid dynamic density functional theory for the computer simulations of the phase separation processes of polymer melts and blends. The proposed theory is a combination of the dynamic self-consistent…

Soft Condensed Matter · Physics 2009-11-11 Takashi Honda , Toshihiro Kawakatsu

Frontal polymerization is a promising energy-saving method for rapid fabrication of polymer components with good mechanical properties. In these systems, a small energy input is sufficient to convert monomers, from a liquid or soft solid…

Soft Condensed Matter · Physics 2023-10-04 Xuanhe Li , Tal Cohen

The diffuse medium in and around galaxies can exist in a multi-phase state: small, cold gas clouds contributing significantly to the total mass embedded in pressure equilibrium with a hotter, more diffuse volume-filling component. Modeling…

Astrophysics of Galaxies · Physics 2022-12-28 Rainer Weinberger , Lars Hernquist

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

Polymers are diverse and versatile materials that have met a wide range of material application demands. They come in several flavors and architectures, e.g., homopolymers, copolymers, polymer blends, and polymers with additives. Searching…

Soft Condensed Matter · Physics 2024-11-05 Shivank S. Shukla , Christopher Kuenneth , Rampi Ramprasad

In this thesis, we develop multiscale models for particle simulations in population dynamics. These models are characterised by prescribing particle motion on two spatial scales: microscopic and macroscopic. At the microscopic level, each…

Computational Engineering, Finance, and Science · Computer Science 2016-09-14 Omar Richardson

This work introduces a method for generating generalized structures of amorphous polymers using simulated polymerization and molecular dynamics equilibration, with a particular focus on amorphous polymers. The techniques and algorithms used…

Soft Condensed Matter · Physics 2024-04-04 Jianchuan Liu , Haiyan Lin , Xun Li

We investigate the phase behaviour of random copolymers melts via large scale Monte Carlo simulations. We observe macrophase separation into A and B--rich phases as predicted by mean field theory only for systems with a very large…

Soft Condensed Matter · Physics 2009-11-07 J. Houdayer , M. Mueller

Over the past two decades polymer nanocomposites have received tremendous interest from industry and academia due to their advanced properties comparative to polymer blends. Many computational studies have revealed that the macroscopic…

Materials Science · Physics 2015-04-07 Argyrios Karatrantos

We study ground states of a hybrid system consisting of a polymer and an attractive nanowire by means of computer simulations. Depending on structural and energetic properties of the substrate, we find different adsorbed polymer…

Soft Condensed Matter · Physics 2011-03-10 Thomas Vogel , Michael Bachmann
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