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We derive a general mean-field theory of inhomogeneous polymer dynamics; a theory whose form has been speculated and widely applied, but not heretofore derived. Our approach involves a functional integral representation of a…

Soft Condensed Matter · Physics 2015-06-18 Glenn H. Fredrickson , Henri Orland

We model the flow behaviour of dense melts of flexible and semiflexible ring polymers in the presence of walls using a hybrid multiscale approach. Specifically, we perform molecular dynamics simulations and apply the Irving-Kirkwood formula…

Numerical Analysis · Mathematics 2026-05-25 Ranajay Datta , Mária Lukáčová-Medviďová , Andreas Schömer , Peter Virnau

A simple expression for the composition dependence of the Flory-Huggins interaction parameter of polymer/solvent systems reported earlier is used to model the demixing of polymer solutions into two liquid phases. To this end the system…

Soft Condensed Matter · Physics 2007-05-23 Sergej Stryuk , Bernhard A. Wolf

We report Monte Carlo simulations of a lattice-polymer model that can account for both polymer crystallization and liquid-liquid demixing in solutions of semiflexible homopolymers. In our model, neighboring polymer segments can have…

Soft Condensed Matter · Physics 2009-11-07 Wenbing Hu , Daan Frenkel , Vincent B. F. Mathot

Much work has been devoted to analysing thermodynamic models for solid dispersions with a view to identifying regions in the phase diagram where amorphous phase separation or drug recrystallization can occur. However, detailed partial…

Soft Condensed Matter · Physics 2020-06-26 Martin Meere , Giuseppe Pontrelli , Sean McGinty

Machine learning (ML) models for predicting gas permeability through polymers have traditionally relied on experimental data. While these models exhibit robustness within familiar chemical domains, reliability wanes when applied to new…

Materials Science · Physics 2024-06-24 Brandon K. Phan , Kuan-Hsuan Shen , Rishi Gurnani , Huan Tran , Ryan Lively , Rampi Ramprasad

Theory is presented for the phase stability of mixtures containing nanospheres and non-adsorbing reversible supramolecular polymers. This was made possible by incorporating the depletion thickness and osmotic pressure of reversible…

Soft Condensed Matter · Physics 2011-06-09 Remco Tuinier

The liquid crystalline model biomembrane system consisting of a stack of interacting membranes is studied by the newly developed Fourier Monte Carlo simulation technique. In comparison to perturbation theory, substantial quantitative…

Biological Physics · Physics 2007-05-23 Nikolai Gouliaev , John F. Nagle

The polymer systems are discussed in the framework of the Landau-Ginzburg model. The model is derived from the mesoscopic Edwards hamiltonian via the conditional partition function. We discuss flexible, semiflexible and rigid polymers. The…

Condensed Matter · Physics 2007-05-23 Robert Holyst , T. A. Vilgis

Biomolecular condensates constitute a newly recognized form of spatial organization in living cells. Although many condensates are believed to form as a result of phase separation, the physicochemical properties that determine the phase…

Biological Physics · Physics 2023-07-11 William M. Jacobs

We develop a multiscale hybrid scheme for simulations of soft condensed matter systems, which allows one to treat the system at the particle level in selected regions of space, and at the continuum level elsewhere. It is derived…

Soft Condensed Matter · Physics 2015-06-17 Shuanhu Qi , Hans Behringer , Friederike Schmid

Multi-component polymer mixtures are ubiquitous in biological self-organization but are notoriously difficult to study computationally. Plagued by both slow single molecule relaxation times and slow equilibration within dense mixtures,…

Soft Condensed Matter · Physics 2024-12-19 Emmit K. Pert , Clay H. Batton , Sherry Li , Steven Dunne , Grant M. Rotskoff

Thermoresponsive polymers hold both fundamental and technological importance, but the essential physics driving their intriguing behavior is not wholly understood. We introduce a lattice framework that incorporates elements of Flory-Huggins…

Soft Condensed Matter · Physics 2024-03-04 Satyen Dhamankar , Michael A. Webb

Multi-phase phenomena remain at the heart of many challenging fluid dynamics problems. Molecular fluxes at the interface determine the fate of neighboring phases, yet their closure far from the continuum needs to be modeled. Along the…

Fluid Dynamics · Physics 2023-08-11 Mohsen Sadr , Marcel Pfeiffer , M. Hossein Gorji

Multiphase gas -- ranging from cold molecular clouds ($\lesssim 100\,$K) to hot, diffuse plasma ($\gtrsim 10^6\,$K) is a defining feature of the interstellar, circumgalactic, intracluster, and intergalactic media. Accurately simulating its…

Astrophysics of Galaxies · Physics 2026-01-26 Max Gronke , Evan Schneider

We review various simple analytical theories for homopolymers within a unified framework. The common guideline of our approach is the Flory theory, and its various avatars, with the attempt of being reasonably self-contained. We expect this…

Statistical Mechanics · Physics 2015-06-16 Somendra M. Bhattacharjee , Achille Giacometti , Amos Maritan

In this paper, we consider a class of models for multiphase fluids, in the framework of mixture theory. The considered system, in its more general form, contains both the gradient of a hydrostatic pressure, generated by an incompressibility…

Analysis of PDEs · Mathematics 2016-10-14 Roberta Bianchini , Roberto Natalini

We examine statistical field theories of polymeric fluids in view of performing numerical simulations. The partition function of these systems can be expressed as a functional integral over real density fields. The introduction of density…

Statistical Mechanics · Physics 2007-05-23 Glenn H. Fredrickson , Henri Orland

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

Partitioning of (bio)materials in polymeric mixtures is a key phenomenon both in cellular environments, as well as in industrial applications. In cells, several macromolecules are suspended within different biomolecular phases. On the other…

Soft Condensed Matter · Physics 2025-10-15 Vikki Anand Varma , Alberto Scacchi