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We study the behavior of the elastic polymer, a model of a directed polymer in a continuous Gaussian random environment that is independent in time and correlated in space, as the dimension of the environment is taken to infinity. We give…

Probability · Mathematics 2026-05-08 Gerard Ben Arous , Pax Kivimae

We study theoretically the temporal evolution and the spatial structure of the interface between two polymer melts involving three different species (A, A* and B). The first melt is composed of two different polymer species A and A* which…

Soft Condensed Matter · Physics 2009-11-10 A. Aradian , F. Saulnier , E. Raphael , P. -G. de Gennes

In this study, we consider a linearized compressible flow structure interaction PDE model for which the interaction interface is under the effect of material derivative term. While the linearization takes place around a constant pressure…

Analysis of PDEs · Mathematics 2021-02-09 Pelin Guven Geredeli

We establish phase transitions for continuum Delaunay multi-type particle systems (continuum Potts or Widom-Rowlinson models) with a repulsive interaction between particles of different types. Our interaction potential depends solely on the…

Probability · Mathematics 2018-05-23 Stefan Adams , Michael Eyers

For cellular functions like division and polarization, protein pattern formation driven by NTPase cycles is a central spatial control strategy. Operating far from equilibrium, no general theory links microscopic reaction networks and…

Biological Physics · Physics 2024-10-01 Henrik Weyer , Tobias A. Roth , Erwin Frey

This article presents a multi-physics methodology for the numerical simulation of physical systems that involve the non-linear interaction of multi-phase reactive fluids and elastoplastic solids, inducing high strain-rates and high…

Computational Physics · Physics 2021-06-04 Tim Wallis , Philip T. Barton , Nikolaos Nikiforakis

Evidence suggests that the transport rate of a passive particle at long timescales is enhanced due to interactions with the surrounding active ones in a size- and composition-dependent manner. Using a system of particles with different…

Soft Condensed Matter · Physics 2021-07-14 Efe Ilker , Michele Castellana , Jean-François Joanny

We investigate the subtle effects of diffuse charge on interfacial kinetics by solving the governing equations for ion transport (Nernst-Planck) with realistic boundary conditions representing reaction kinetics (Butler-Volmer) and…

Soft Condensed Matter · Physics 2007-05-23 A. Bonnefont , F. Argoul , M. Z. Bazant

Brownian diffusion of rod-like polymers in the presence of randomly distributed spherical obstacles is studied using molecular dynamics (MD) simulations. It is observed that dependence of the reduced diffusion coefficient of these…

Soft Condensed Matter · Physics 2015-05-20 Farzaneh Sakha , Hossein Fazli

The structure of polymer networks, defined by chain lengths and connectivity patterns, fundamentally influences their bulk properties. While existing polymer network models connect chain properties to emergent network behavior, they are…

Soft Condensed Matter · Physics 2026-03-17 Jason Mulderrig , Michael Buche , Matthew Grasinger

The dynamics of individual colloidal particles in random potential energy landscapes were investigated experimentally and by Monte Carlo simulations. The value of the potential at each point in the two-dimensional energy landscape follows a…

We introduce a fiber bundle model where the interaction among fibers is modeled by an adjustable stress-transfer function which can interpolate between the two limiting cases of load redistribution, the global and the local load sharing…

Statistical Mechanics · Physics 2009-11-07 Raul Cruz Hidalgo , Yamir Moreno , Ferenc Kun , Hans J. Herrmann

The structure of polymer coils near interfaces between coexisting phases of symmetrical polymer mixtures (AB) is discussed, as well as the structure of symmetric diblock copolymers of the same chain length N adsorbed at the interface. The…

Soft Condensed Matter · Physics 2015-06-25 K. Binder , M. Mueller , F. Schmid , A. Werner

In this work, we question the generally accepted statement that the character of intermolecular interactions can be directly determined from the scaling exponent. Based on detailed studies of polyatomic molecular systems with precisely…

Soft Condensed Matter · Physics 2024-02-14 Filip Kaśkosz , Kajetan Koperwas , Andrzej Grzybowski , Marian Paluch

We study the forced rupture of adhesive contacts between monomers that are not covalently linked in a Rouse chain. When the applied force ($f$) to the chain end is less than the critical force for rupture ($f_c$), the {\it reversible}…

Soft Condensed Matter · Physics 2009-11-13 V. Barsegov , G. Morrison , D. Thirumalai

In this paper a lattice model for the diffusional transport of particles in the interphase cell nucleus is proposed. The dynamic behaviour of single chains on the lattice is investigated and Rouse scaling is verified. Dynamical dense…

Biological Physics · Physics 2015-05-13 Annika Wedemeier , Holger Merlitz , Chen-Xu Wu , Jörg Langowski

We have studied the kinetics of cluster formation for dynamical systems of dimensions up to $n=8$ interacting through elastic collisions or coalescence. These systems could serve as possible models for gas kinetics, polymerization and…

Statistical Mechanics · Physics 2013-01-15 Carson McFadden , Louis-S. Bouchard

We study the swelling of a flexible linear chain composed of active particles by analytical theory and computer simulation. Three different situations are considered: a free chain, a chain confined to an external harmonic trap, and a chain…

Soft Condensed Matter · Physics 2015-03-31 Andreas Kaiser , Sonja Babel , Borge ten Hagen , Christian von Ferber , Hartmut Löwen

We study the static and dynamical properties of a harmonically confined Rouse polymer coupled to a fluctuating correlated medium, which affect each other reciprocally during their stochastic evolution. The medium is modeled by a scalar…

Soft Condensed Matter · Physics 2025-10-09 Pietro Luigi Muzzeddu , Davide Venturelli , Andrea Gambassi

Limited dispersal distance, whether associated with vegetative growth or localized reproduction, induces spatial clustering and, in turn, focuses ecological interactions at the neighborhood scale. In particular, most invasive plants are…

Populations and Evolution · Quantitative Biology 2014-03-19 Andrew J. Allstadt , Jonathan A. Newman , Jonathan A. Walter , G. Korniss , Thomas Caraco