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We study the relation between the directed polymer and the directed percolation models, for the case of a disordered energy landscape where the energies are taken from bimodal distribution. We find that at the critical concentration of the…

Statistical Mechanics · Physics 2009-10-31 Ehud Perlsman , Shlomo Havlin

The effect of a finite volume presents itself both in heavy ion experiments as well as in recent model calculations. The magnitude is sensitive to the proximity of a nearby critical point. We calculate the finite volume effects at finite…

High Energy Physics - Lattice · Physics 2024-01-03 Szabolcs Borsányi , Zoltán Fodor , Jana N. Guenther , Ruben Kara , Paolo Parotto , Attila Pásztor , Chik Him Wong

Nano-scale confinement of polymer in cone-shaped geometries occurs in many experimental situations. A flexible polymer confined in a cone-shaped nano-channel is studied theoretically and using molecular dynamics simulations. Distribution of…

Soft Condensed Matter · Physics 2016-02-24 Narges Nikoofard , Hossein Fazli

Published dielectric relaxation measurements on polypropylene glycol and 1,4-polyisoprene are analyzed to determine the relative effect that thermal energy and volume have on the temperature dependence of the normal mode relaxation times,…

Soft Condensed Matter · Physics 2015-06-24 C. M. Roland , R. Casalini , M. Paluch

A common approach to study nucleation rates is the estimation of free-energy barriers. This usually requires knowledge about the shape of the forming droplet, a task that becomes notoriously difficult in macromolecular setups starting with…

Statistical Mechanics · Physics 2017-03-28 Johannes Zierenberg , Philipp Schierz , Wolfhard Janke

In this paper, some equations are derived to describe the out-of-equilibrium thermodynamics of colloidal suspensions. These results are obtained assuming that the properties of the colloids essentially come from their surfaces which are…

Soft Condensed Matter · Physics 2013-03-29 Pierre de Thier

We explore semi-dilute and concentrated oligomers and polymers in a broad range of polymerization indices N ranging from 1 to a 100 and in a range of monomer number densities $\phi$ from 0.1 to 0.8 via molecular dynamics simulations and…

Soft Condensed Matter · Physics 2020-12-01 Ashod Khederlarian , Carmen Almasri , Leonid Klushin

We explore the consequences of the excluded volume interaction of hard spheres at high densities and present a theory for excited granular materials. We first demonstrate that, in the presence of gravity, the granular density crosses over…

Materials Science · Physics 2007-05-23 Daniel C. Hong

We investigate numerically, using the bond-fluctuation model, the adsorption of many random AB--copolymers with excluded volume interactions at the interface between two solvents. We find two regimes, controlled by the total number of…

Soft Condensed Matter · Physics 2007-05-23 Gongwen Peng , Jens-Uwe Sommer , Alexander Blumen

We study the large deviations for focusing Gibbs measures by analyzing the asymptotic behavior of the free energy in the infinite volume limit. This is the invariant Gibbs measure for the dynamical $\Phi^3_2$-models. From our sharp…

Probability · Mathematics 2025-06-17 Kihoon Seong , Philippe Sosoe

Negative activation volumes for dielectric relaxation are rarely reported in solid state physics and are limited to atomic scale processes. Broadband Dielectric Spectroscopy on heterogeneous systems, such as polycrystalline calcite and…

Geophysics · Physics 2025-05-23 Anthony N. Papathanassiou

This paper investigates the asymptotic behavior of the Helmholtz free energy of mixtures at small compressibility. We start from a general representation for the local free energy that is valid in stable subregions of the phase diagram. On…

Mathematical Physics · Physics 2021-04-20 Dieter Bothe , Wolfgang Dreyer , Pierre-Etienne Druet

We study the structure and interfacial properties of model athermal mixtures of colloids and excluded volume polymers. The colloid particles are modeled as hard spheres whereas the polymer coils are modeled as chains formed from…

Soft Condensed Matter · Physics 2007-05-23 Pawel Bryk

If one analyzes the effects of electromagnetic vacuum fluctuations upon an electron interference pattern in an approximation in which the electrons follow classical trajectories, an ultraviolet divergence results. It is shown that this…

Quantum Physics · Physics 2009-10-30 L. H. Ford

We consider anisotropic colloidal particles immersed in a solution of long, flexible, and nonadsorbing polymers. For the dumbbell shapes of recently synthesized particles consisting of two intersecting spheres and for lens-shaped particles…

Statistical Mechanics · Physics 2009-11-11 E. Eisenriegler , A. Bringer

A small amount of polymer dissolved in a droplet suppresses droplet rebound when it impinges on a supersolvophobic surface. This work investigates impacting dynamics of a droplet of dilute polymer solution depending on the molecular weight…

Soft Condensed Matter · Physics 2021-03-30 Eunsang Lee , Hari Krishna Chilukoti , Florian Müller-Plathe

We discuss the dependence of the results of renormalized perturbation theory for dilute polymer solutions on the choice of the uncritical manifold where the perturbation series are evaluated. Special emphasis is given to the influence of…

Statistical Mechanics · Physics 2007-05-23 Andrea Ostendorf , Johannes S. Hager

A polydisperse system contains particles with at least one attribute $\sigma$ (such as particle size in colloids or chain length in polymers) which takes values in a continuous range. It therefore has an infinite number of conserved…

Soft Condensed Matter · Physics 2007-05-23 Peter Sollich , Patrick B Warren , Michael E Cates

We study in this paper compression effects in heterogeneous media with maximal packing constraint. Starting from compressible Brinkman equations, where maximal packing is encoded in a singular pressure and a singular bulk viscosity, we show…

Analysis of PDEs · Mathematics 2018-07-18 D. Bresch , S. Necasova , C. Perrin

We analyze diffusion of small particles in a solid polymeric medium taking into account a short range particle-polymer interaction. The system is modeled by a particle diffusion on a ternary lattice where the sites occupied by polymer…

Statistical Mechanics · Physics 2015-06-11 Federico Camboni , Andreas Koher , Igor M. Sokolov
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