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We report an extensive numerical study of a charged colloidal system with competing short-range depletion attraction and long-range electrostatic repulsion. By analizing the cluster properties, we identify two distinct regions in the phase…

Soft Condensed Matter · Physics 2009-03-18 Juan Carlos Fernandez Toledano , Francesco Sciortino , Emanuela Zaccarelli

We consider the model of a directed polymer in a random environment defined on the infinite cluster of supercritical Bernoulli bond percolation in dimensions $d \geq 3$. For this model, it was proved in arXiv:2205.06206 that for almost…

Probability · Mathematics 2025-10-29 Francesca Cottini , Maximilian Nitzschner

This paper leads with a random polymer model in $\Z^2$ having long-range self-repulsive interactions. By comparison with a long range one-dimensional ferromagnetic Ising model we shown that the polymer models we considered here undergo a…

Probability · Mathematics 2014-05-29 Leandro Cioletti , Chang Dorea , Simone Vasconcelos

To study the cooling behavior and the glass transition of polymer melts in bulk and with free surfaces a coarse-grained weakly semi-flexible polymer model is developed. Based on a standard bead spring model with purely repulsive…

Soft Condensed Matter · Physics 2019-09-09 Hsiao-Ping Hsu , Kurt Kremer

We examine in full generality the phase behavior of systems whose constituent particles interact by means of potentials which do not diverge at the origin, are free of attractive parts and decay fast enough to zero as the interparticle…

Soft Condensed Matter · Physics 2009-10-31 C. N. Likos , A. Lang , M. Watzlawek , H. Lowen

The depletion interactions between two colloidal plates or between two colloidal spheres, induced by interacting polymers in a good solvent, are calculated theoretically and by computer simulations. A simple analytical theory is shown to be…

Soft Condensed Matter · Physics 2009-11-07 A. A. Louis , P. G. Bolhuis , E. J. Meijer , J. P. Hansen

A copolymer is a chain of repetitive units (monomers) that are almost identical, but they differ in their degree of affinity for certain solvents. This difference leads to striking phenomena when the polymer fluctuates in a nonhomogeneous…

Probability · Mathematics 2010-11-11 Francesco Caravenna , Giambattista Giacomin

Field-theoretical method is efficient in predicting the assembling structures of polymeric systems. However, for the polymer/nanoparticle mixture, the continuous density description is not suitable to capture the realistic assembly of…

Soft Condensed Matter · Physics 2017-05-17 Hui-shu Li , Bo-kai Zhang , Jian Li , Wen-de Tian , Kang Chen

A simple three-dimensional model of a fluid whose constituent particles interact via a short range attractive and long range repulsive potential is used to model the aggregation into large spherical-like clusters made up of hundreds of…

Soft Condensed Matter · Physics 2025-02-11 Antonio Díaz-Pozuelo , Diego González-Salgado , Enrique Lomba

The phase behavior of a cross-linked polymer blend made of two incompatible species, $A$ and $B$, of different chemical nature is analyzed. Besides a homogeneous phase, this system also exhibits two microphases and a phase of total…

Condensed Matter · Physics 2007-05-23 Edilson Vargas , Marcia C. Barbosa

We perform a cluster expansion in the canonical ensemble with periodic boundary conditions, introducing a new choice of polymer activities that differs from the standard ones. This choice leads to an improved bound for the convergence of…

Mathematical Physics · Physics 2026-03-27 Giuseppe Scola

Stretched polymers with attractive interaction are studied in two and three dimensions. They are described by biased self-avoiding random walks with nearest neighbour attraction. The bias corresponds to opposite forces applied to the first…

Statistical Mechanics · Physics 2009-11-07 Peter Grassberger , Hsiao-Ping Hsu

Despite the long-recognized fact that chemical structure and specific interactions greatly influence the thermodynamic properties of polymer systems, a predictive molecular theory that enables systematically addressing the role of chemical…

Soft Condensed Matter · Physics 2015-06-22 Wen-Sheng Xu , Karl F. Freed

We consider a binary system of small and large spheres of finite size in a continuous medium interacting via a non-negative potential. We work in the canonical ensemble and compute upper and lower bound for the free energy at finite and…

Mathematical Physics · Physics 2023-10-24 Tong Xuan Nguyen , Giuseppe Scola , Dimitrios Tsagkarogiannis

We study an ensemble of branched polymers which are embedded on other branched polymers. This is a toy model which allows us to study explicitly the reaction of a statistical system on an underlying geometrical structure, a problem of…

High Energy Physics - Theory · Physics 2015-06-26 Bergfinnur Durhuus , Thordur Jonsson

We present a Bethe approximation to study lattice models of linear polymers. The approach is variational in nature and based on the cluster variation method (CVM). We focus on a model with $(i)$ a nearest neighbor attractive energy…

Statistical Mechanics · Physics 2009-10-31 Stefano Lise , Amos Maritan , Alessandro Pelizzola

We present results from molecular dynamics simulations of a spherically confined neutral polymer in the presence of crowding agents, studying polymer shapes and conformations as a function of the confining potential, solvent quality and the…

Soft Condensed Matter · Physics 2020-01-29 Kamal Tripathi , Gautam I. Menon , Satyavani Vemparala

We investigate the disordered copolymer and pinning models, in the case of a correlated Gaussian environment with summable correlations, and when the return distribution of the underlying renewal process has a polynomial tail. As far as the…

Probability · Mathematics 2014-04-24 Quentin Berger , Julien Poisat

Growth and roughness of the interface of deposited polymer chains driven by a field onto an impenetrable adsorbing surface are studied by computer simulations in (2+1) dimensions. The evolution of the interface width W shows a crossover…

Soft Condensed Matter · Physics 2007-05-23 Frank W. Bentrem , R. B. Pandey , Fereydoon Family

In the cluster expansion framework of Bose liquids we calculate analytical expressions of the two-body, three-body and four-body diagrams contributing to the g.s. energy of an infinite system of neutral alpha-particles at zero-temperature,…

Nuclear Theory · Physics 2015-03-17 F. Carstoiu , S Misicu , V. Balanica , M. Lassaut