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Modeling of polymer chains has received a lot of attention in mathematics. In fact, probabilistic models that naturally arise in statistical mechanics have been widely studied by mathematicians for the very challenging and novel problems…

Probability · Mathematics 2007-05-23 Francesco Caravenna

Biological systems exploit self-assembly to create complex structures whose arrangements are finely controlled from molecular to mesoscopic level. Herein we report an example of using fully synthetic systems that mimic two levels of…

When a polymer solution undergoes viscoelastic phase separation, the polymer-rich phase forms a network-like structure even if it is a minor phase. This unique feature is induced by polymer dynamics, which are constrained by the temporal…

Soft Condensed Matter · Physics 2021-03-31 Kenji Yoshimoto , Takashi Taniguchi

The phase separation of a simple binary mixture of incompatible linear polymers in solution is investigated using an extension of the sedimentation equilibrium method, whereby the osmotic pressure of the mixture is extracted from the…

Soft Condensed Matter · Physics 2009-09-29 Chris I. Addison , Pierre-Arnaud Artola , Jean-Pierre Hansen , Ard A. Louis

In this work we used dissipative particle dynamics simulations to study the copolymerization process in the presence of spatial heterogeneities caused by incompatibility between polymerizing monomers. The polymer sequence details as well as…

Soft Condensed Matter · Physics 2017-09-26 Alexey A. Gavrilov , Alexander V. Chertovich

Extensive experimental studies have shown that numerous ordered phases can be formed via the self-assembly of T-shaped liquid crystalline molecules (TLCMs) composed of a rigid backbone, two flexible end chains and a flexible side chain.…

Soft Condensed Matter · Physics 2024-02-26 Zhijuan He , Xin Wang , Pingwen Zhang , An-Chang Shi , Kai Jiang

Mesoscopic structure of the periodically alternating layers of stretched homopolymer chains surrounded by perpendicularly oriented oligomeric tails is studied for the systems with both strong (ionic) and weak (hydrogen) interactions. We…

Soft Condensed Matter · Physics 2009-11-10 A. I. Olemskoi , I. Krakovsky , A. Savelyev

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

Dimerization and subsequent aggregation of polymers and biopolymers often occur under nonequilibrium conditions. When the initial state of the polymer is not collapsed or the final folded native state, the dynamics of dimerization can…

Soft Condensed Matter · Physics 2024-11-19 Sangita Mondal , Ved Mahajan , Biman Bagchi

We theoretically study mixtures of chemically-interacting particles, which produce or consume a chemical to which they are attracted or repelled, in the most general case of many coexisting species. We find a new class of active phase…

Soft Condensed Matter · Physics 2019-07-15 Jaime Agudo-Canalejo , Ramin Golestanian

We study polymer-polymer phase separation in a common good solvent by means of Monte Carlo simulations of the bond-fluctuation model. Below a critical, chain-length dependent concentration, no phase separation occurs. For higher…

Soft Condensed Matter · Physics 2009-11-11 Lei Guo , Erik Luijten

The Leibler theory [L. Leibler, Macromolecules, v.13, 1602 (1980)] for microphase separation in AB block copolymer melts is generalized for systems with arbitrary topology of molecules. A diagrammatic technique for calculation of the…

Soft Condensed Matter · Physics 2009-10-31 A. N. Morozov , J. G. E. M. Fraaije

We deduce the qualitative phase diagram of a long flexible neutral polymer chain immersed in a poor solvent near an attracting surface using phenomenological arguments. The actual positions of the phase boundaries are estimated numerically…

Statistical Mechanics · Physics 2009-11-07 R. Rajesh , Deepak Dhar , Debaprasad Giri , Sanjay Kumar , Yashwant Singh

We study the equilibrium behaviour of a mixture of monodisperse hard sphere colloids and polydisperse non-adsorbing polymers at their $\theta$-point, using the Asakura-Oosawa model treated within the free-volume approximation. Our focus is…

Soft Condensed Matter · Physics 2007-05-23 Moreno Fasolo , Peter Sollich

In this work we studied polymerization-induced self-assembly by means of computer simulations. Using this model, phase diagrams of the micelle states were constructed depending on the polymer concentration and the asymmetry of the…

Soft Condensed Matter · Physics 2020-11-17 Ruslan Shupanov , Pavel Kos , Alexei Gavrilov , Alexander Chertovich

We study the phase behavior of a symmetric binary polymer blend which is confined into a thin film. The film surfaces interact with the monomers via short range potentials. We calculate the phase behavior within the self-consistent field…

Statistical Mechanics · Physics 2009-10-31 M. Mueller , E. V. Albano , K. Binder

Using self-consistent field and density-functional theories, we first investigate colloidal self-assembling of colloid/polymer films confined between two soft surfaces grafted by polymers. With the increase of colloidal concentrations, the…

Soft Condensed Matter · Physics 2007-05-23 Chun-lai Ren , Yu-qiang Ma

Phase separation in polymer solutions often correlates with single-chain and two-chain properties, such as the single-chain radius of gyration, Rg, and the pairwise second virial coefficient, B22. However, recent studies have shown that…

Soft Condensed Matter · Physics 2025-07-02 Jessica Jin , Wesley Oliver , Michael A. Webb , William M. Jacobs

Microphase separated structure consisting of the periodic alternation of the layers of stretched homopolymer chains surrounded by perpendicularly oriented oligomeric tails is studied for both, strongly bonded (ionic) systems and weakly…

Statistical Mechanics · Physics 2007-05-23 A. Olemskoi , I. Krakovsky , A. Savelyev

In conflict with standard notions of thermodynamics, mesoscopically-sized inclusions (``clusters'') of a solute-rich liquid have been observed in equilibrated solutions of proteins and other molecules. According to a complexation scenario…

Soft Condensed Matter · Physics 2025-09-11 Ilya Davydov , Vassiliy Lubchenko