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We study the problem of homogenization for inertial particles moving in a periodic velocity field, and subject to molecular diffusion. We show that, under appropriate assumptions on the velocity field, the large scale, long time behavior of…

Statistical Mechanics · Physics 2009-11-11 G. A. Pavliotis , A. M. Stuart

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

Molecular process of polymer collapse was reproduced by isothermal molecular dynamics simulation. The initial polymer chains were obtained by mean of random walks in continuum space. Two potential models were considered to represent short…

Soft Condensed Matter · Physics 2007-05-23 S. A. Sabeur , F. Hamdache , M. Bouarkat

Polydispersity is believed to have important effects on the formation of liquid crystal phases in suspensions of rod-like particles. To understand such effects, we analyse the phase behaviour of thin hard rods with length polydispersity.…

Soft Condensed Matter · Physics 2010-12-14 Alessandro Speranza , Peter Sollich

Using ultrashort laser pulses, it has become possible to probe the dynamics of long-range order in solids on microscopic timescales. In the conventional description of symmetry-broken phases within time-dependent Ginzburg-Landau theory, the…

Strongly Correlated Electrons · Physics 2023-06-08 Antonio Picano , Francesco Grandi , Martin Eckstein

The dynamics of polymer-nanoparticle (NP) mixtures, which involves multiple scales and system-specific variables, has posed a long-standing challenge on its theoretical description. In this paper, we construct a microscopic theory for…

Soft Condensed Matter · Physics 2021-06-15 Bokai Zhang , Jian Li , Juan-mei Hu , Lei Liu

The dynamics of flexible polymer molecules are often assumed to be governed by hydrodynamics of the solvent. However there is considerable evidence that internal dissipation of a polymer contributes as well. Here we investigate the dynamics…

Soft Condensed Matter · Physics 2013-05-29 J. M. Deutsch

Polymers are an effective test-bed for studying topological constraints in condensed matter due to a wide array of synthetically-available chain topologies. When linear and ring polymers are blended together, emergent rheological properties…

Soft Condensed Matter · Physics 2024-04-25 Daniel L. Vigil , Ting Ge , Michael Rubinstein , Thomas C. O'Connor , Gary S. Grest

Molecular dynamics simulations were performed for a polymer melt. In quiescent states, the inter-chain interaction energy supported by each particle takes relatively large values persistently for long times if the particle is close to an…

Soft Condensed Matter · Physics 2007-05-23 Ryoichi Yamamoto , Akira Onuki

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

We study the problem of phase separation in systems with a positive definite order parameter, and in particular, in systems with absorbing states. Owing to the presence of a single minimum in the free energy driving the relaxation kinetics,…

Condensed Matter · Physics 2009-10-31 M. A. Munoz , U. Marini Bettolo Marconi , R. Cafiero

Orientational dynamics in the isotropic phase of a comb-shaped nematic polymer with mesogenic and functional side groups was studied using the Kerr effect and dielectric spectroscopy. For the first time, it was found that in a mesogenic…

Soft Condensed Matter · Physics 2019-12-24 V. B. Rogozhin , S. G. Polushin , I. E. Lezova , G. E. Polushina , E. I. Ryumtsev , N. A. Nikonorova

We have mapped the physics of a system of semi-flexible inextensible polymers onto a complex Ginzburg-Landau field theory using techniques of functional integration. It is shown in the limit of low number density of monomers in a melt of…

Soft Condensed Matter · Physics 2007-05-23 Shirish M. Chitanvis

Significant progress was made in recent years in the understanding of the proton spin kinetics in polymer melts. Generally, the proton spin kinetics is determined by intramolecular and intermolecular magnetic dipole-dipole contributions of…

Soft Condensed Matter · Physics 2015-06-19 N. Fatkullin , S. Stapf , M. Hofmann , R. Meierc , E. A. Roessler

When two types of side chains (A,B) are densely grafted to a (stiff) backbone and the resulting bottle-brush polymer is in a solution under poor solvent conditions, an incompatibility between A and B leads to microphase separation in the…

Soft Condensed Matter · Physics 2015-05-28 Igor Erukhimovich , Panagiotis E. Theodorakis , Wolfgang Paul , Kurt Binder

Large-scale Monte Carlo simulations of a phase-separating colloid-polymer mixture are performed and compared to recent experiments. The approach is based on effective interaction potentials in which the central monomers of self-avoiding…

Soft Condensed Matter · Physics 2007-05-23 R. L. C. Vink , A. Jusufi , J. Dzubiella , C. N. Likos

Polydispersity is inevitable in industrially produced polymers. Established theories of polymer dynamics and rheology, however, were mostly built on monodisperse linear polymers. Dynamics of polydisperse polymers is yet to be fully explored…

Soft Condensed Matter · Physics 2021-06-29 Oluseye Adeyemi , Shiping Zhu , Li Xi

We consider the Glauber dynamics for model of polymer interacting with a substrate or wall. The state space is the set of one-dimensional nearest-neighbor paths on $\mathbb{Z}$ with nonnegative integer coordinates, starting at $0$ and…

Probability · Mathematics 2021-08-17 Shangjie Yang

We discuss the self-consistent dynamics of plasmas by means of hamiltonian formalism for a system of $N$ near-resonant electrons interacting with a single Langmuir wave. The connection with the Vlasov description is revisited through the…

Plasma Physics · Physics 2017-05-24 Daniel Santos , Yves Elskens

A continuum model for the phase separation and coarsening, observed in electrostatically driven granular media, is formulated in terms of a Ginzburg-Landau equation subject to conservation of the total number of grains. In the regime of…

Soft Condensed Matter · Physics 2016-08-31 I. S. Aranson , B. Meerson , P. V. Sasorov , V. M. Vinokur
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