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The density profile and surface tension for the interface of phase-separated colloid-polymer mixtures have been studied in the framework of the square gradient approximation for both ideal and interacting polymers in good solvent. The…

Soft Condensed Matter · Physics 2009-11-10 A. Moncho-Jorda , B. Rotenberg , A. A. Louis

While the dynamics of polymer chains in equilibrium media is well understood by now, the polymer dynamics in active non-equilibrium environments can be very different. Here we study the dynamics of polymers in a viscous medium containing…

Soft Condensed Matter · Physics 2017-06-23 Jaeoh Shin , Andrey G. Cherstvy , Won Kyu Kim , Vasily Zaburdaev

We report molecular dynamics simulations of a system of repulsive, polymer-tethered colloidal particles. We use an explicit polymer model to explore how the length and the behavior of the polymer (ideal or self-avoiding) affect the ability…

Soft Condensed Matter · Physics 2015-05-14 Behnaz Bozorgui , Maya Sen , William L. Miller , Josep C. Pamies , Angelo Cacciuto

We extend classical Flory-Rehner theory for the expansion and compression of porous materials such as cross-linked polymer networks. The theory includes volume exclusion, affinity with the solvent, and finite stretching of the polymer…

Chemical Physics · Physics 2023-09-28 P. M. Biesheuvel , H. Fan , M. Elimelech

In this article, we present an invariance principle for the paths of the directed random polymer in space dimension two in the subcritical intermediate disorder regime. More precisely, the distribution of diffusively rescaled polymer paths…

Probability · Mathematics 2025-07-21 Simon Gabriel

The collapse and swelling behavior of a generic homopolymer is studied using implicit-solvent, explicit-cosolvent Langevin dynamics computer simulations for varying interaction strengths. The systematic investigation reveals that polymer…

Soft Condensed Matter · Physics 2012-11-06 Anja Muzdalo , Jan Heyda , Joachim Dzubiella

We study a model of two polymers confined to a slit with sticky walls. More precisely, we find and analyse the exact solution of two directed friendly walks in such a geometry on the square lattice. We compare the infinite slit limit, in…

Statistical Mechanics · Physics 2015-06-19 Thomas Wong , Aleksander L. Owczarek , Andrew Rechnitzer

We consider a discrete particle system of two species coupled through nonlocal interactions driven by the one-dimensional Newtonian potential, with repulsive self-interaction and attractive cross-interaction. After providing a suitable…

Analysis of PDEs · Mathematics 2020-08-26 Marco Di Francesco , Antonio Esposito , Markus Schmidtchen

Hamiltonians which are inaccessible in static systems can be engineered in periodically driven many-body systems, i.e., Floquet many-body systems. We propose to use interacting particles in a one-dimensional (1D) harmonic potential with…

Quantum Physics · Physics 2018-02-19 Pengfei Liang , Michael Marthaler , Lingzhen Guo

In this paper we study a two-dimensional directed self-avoiding walk model of a random copolymer in a random emulsion. The copolymer is a random concatenation of monomers of two types, $A$ and $B$, each occurring with density 1/2. The…

Probability · Mathematics 2009-11-13 Frank den Hollander , Nicolas Pétrélis

Previous experiments have shown that spherical colloidal particles relax to equilibrium slowly after they adsorb to a liquid-liquid interface, despite the large interfacial energy gradient driving the adsorption. The slow relaxation has…

Soft Condensed Matter · Physics 2016-11-08 Anna Wang , Ryan McGorty , David M. Kaz , Vinothan N. Manoharan

Topologically nontrivial states are common in symmetry broken phases at macroscopic scales. Low dimensional systems bring them to a microscopic level where solitons emerge as single particles. The earliest and latest applications are…

Strongly Correlated Electrons · Physics 2007-05-23 S. Brazovski

The depletion interaction between two parallel repulsive walls confining a dilute solution of long and flexible polymer chains is studied by field-theoretic methods. Special attention is paid to self-avoidance between chain monomers…

Soft Condensed Matter · Physics 2009-11-07 F. Schlesener , A. Hanke , R. Klimpel , S. Dietrich

We study a class of interacting particle systems in which $n$ signed particles move on the real line. At close range particles with the same sign repel and particles with opposite sign attract each other. The repulsion and attraction are…

Analysis of PDEs · Mathematics 2024-03-21 Patrick van Meurs

Topological constraints (TCs) between polymers determine the behaviour of complex fluids such as creams, oils and plastics. Most of the polymer solutions used every day life employ linear chains; their behaviour is accurately captured by…

Soft Condensed Matter · Physics 2020-10-07 Fabio Landuzzi , Takenobu Nakamura , Davide Michieletto , Takahiro Sakaue

In this work a field theoretical model is constructed to describe the statistical mechanics of an arbitrary number of topologically linked polymers in the context of the analytical approach of Edwards. As an application, the effects of the…

High Energy Physics - Theory · Physics 2007-05-23 F. Ferrari , I. Lazzizzera

Collective guidance of out-of-equilibrium systems without using external fields is a challenge of paramount importance in active matter, ranging from bacterial colonies to swarms of self-propelled particles. Designing strategies to guide…

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

Entropic forces in colloidal suspensions and in polymer-colloid systems are of long-standing and continuing interest. Experiments show how entropic forces can be used to control the self-assembly of colloidal particles. Significant advances…

Soft Condensed Matter · Physics 2014-10-17 A. Scala , P. G. De Sanctis Lucentini

We study directed polymers subject to a quenched random potential in d transversal dimensions. This system is closely related to the Kardar-Parisi-Zhang equation of nonlinear stochastic growth. By a careful analysis of the perturbation…

Condensed Matter · Physics 2009-10-28 Ralf Bundschuh , Michael Lassig