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New insights into phase separation in colloidal suspensions are provided via a new dynamical theory based on the Polydisperse Lattice-Gas model. The model gives a simplified description of polydisperse colloids, incorporating a hard-core…

Soft Condensed Matter · Physics 2017-08-03 Pablo de Castro , Peter Sollich

The formation of various bicontinuous phases from binary blends of linear AB diblock copolymers (DBCPs) is studied using the polymeric self-consistent field theory. The theoretical study predicts that the double-diamond and the "plumber's…

Soft Condensed Matter · Physics 2021-09-01 Chi To Lai , An-Chang Shi

Phase separation of two phase separating solutes in a common solvent can result in mesoscale (micron-sized) droplets with complex topologies of the domains of each solute within each droplet. Such topologies have been observed in-vitro in…

Soft Condensed Matter · Physics 2025-07-31 Amit Kumar , Gary H. Karpen , Samuel A. Safran

We consider a general discrete model for heterogeneous semiflexible polymer chains. Both the thermal noise and the inhomogeneous character of the chain (the disorder) are modeled in terms of random rotations. We focus on the quenched…

Probability · Mathematics 2008-12-20 Francesco Caravenna , Giambattista Giacomin , Massimiliano Gubinelli

The theory of multiphase polymer systems has a venerable tradition. The 'classical' theory of polymer demixing, the Flory-Huggins theory, was developed already in the forties of the last century. It is still the starting point for most…

Soft Condensed Matter · Physics 2010-01-11 Friederike Schmid

Biopolymers are characterized by heterogeneous interactions, and usually perform their biological tasks forming contacts within domains of limited size. Combining polymer theory with a replica approach, we study the scaling properties of…

Biomolecules · Quantitative Biology 2015-08-05 Guido Tiana

Random heteropolymers are a minimal description of biopolymers and can provide a theoretical framework to the investigate the formation of loops in biophysical experiments. A two--state model provides a consistent and robust way to study…

Quantitative Methods · Quantitative Biology 2016-09-28 Y. Zhan , L. Giorgetti , G. Tiana

The miscibility of polymer blends, a classical problem in polymer science, may be altered, if one or both of the component do not have chain ends. Based on the idea of {\it topological volume}, we propose a mean-field theory to clarify how…

Soft Condensed Matter · Physics 2016-05-04 Takahiro Sakaue , Chihiro H. Nakajima

Biological mixtures such as the cytosol may consist of thousands of distinct components. There is now a substantial body of evidence showing that, under physiological conditions, intracellular mixtures can phase separate into spatially…

Soft Condensed Matter · Physics 2017-03-06 William M. Jacobs , Daan Frenkel

We investigate the behaviour of randomly cross-linked (co)polymer blends using a combination of replica theory and large-scale molecular dynamics simulations. In particular, we derive the analogue of the random phase approximation for…

Soft Condensed Matter · Physics 2009-11-13 A. V. Klopper , Carsten Svaneborg , Ralf Everaers

Phase separation in charged systems may involve the replacement of critical points by microphase separated states, or charge-density-wave states. A density functional theory for highly charged colloids at low ionic strength is developed to…

Soft Condensed Matter · Physics 2007-05-23 Patrick B. Warren

The folding transition of single, long semiflexible polymers was studied with special emphasis on the chain length effect using Monte Carlo simulations. While a relatively short chain (10-25 Kuhn segments) undergoes a large discrete…

Soft Condensed Matter · Physics 2008-05-06 Yuji Higuchi , Takahiro Sakaue , Kenichi Yoshikawa

While crack nucleation and propagation in the brittle or quasi-brittle regime can be predicted via variational or material-force-based phase field fracture models, these models often assume that the underlying elastic response of the…

Computational Engineering, Finance, and Science · Computer Science 2020-08-13 Hyoung Suk Suh , WaiChing Sun , Devin O'Connor

Biomolecules composed of a limited set of chemical building blocks can co-localize into distinct, spatially segregated compartments known as biomolecular condensates. While many condensates are known to form spontaneously via phase…

Soft Condensed Matter · Physics 2024-08-15 Fan Chen , William M. Jacobs

Materials with nanoscale phase separation are considered. These materials are formed by a mixture of several phases, so that inside one phase there exist nanosize inclusions of other phases, with random shapes and random spatial locations.…

Mesoscale and Nanoscale Physics · Physics 2014-03-31 V. I. Yukalov , E. P. Yukalova

The dynamics of microphase separation and the orientation of lamellae in diblock copolymers is investigated in terms of a mean-field model. The formation of lamellar structures and their stable states are explored and it is shown that…

Soft Condensed Matter · Physics 2015-06-15 Vanessa Weith , Alexei Krekhov , Walter Zimmermann

Spatially uniform electric fields have been used to induce instabilities in liquids and polymers, and to orient and deform ordered phases of block-copolymers. Here we discuss the demixing phase transition occurring in liquid mixtures when…

Statistical Mechanics · Physics 2015-05-13 G. Marcus , Y. Tsori

Long DNA molecules can be mapped by cutting them with restriction enzymes inside a narrow channel. Once cut, the individual fragments thus produced move away from each other due to diffusion and entropic effects. We investigate how long it…

Soft Condensed Matter · Physics 2025-06-11 Hanyang. Wang , Gary W Slater

We study the theoretical phase behavior of an asymmetric binary mixture of hard spheres, of which the smaller component is monodisperse and the larger component is polydisperse. The interactions are modelled in terms of the second virial…

Statistical Mechanics · Physics 2019-12-09 Luka Sturtewagen , Erik van der Linden

Elastic MicroPhase Separation (EMPS) provides a simple route to create soft materials with homogeneous microstructures by leveraging the supersaturation of crosslinked polymer networks with liquids. At low supersaturation, network…

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