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The field theory approach to the statistical mechanics of a system of N polymer rings linked together is generalized to the case of links that have a fixed number $2s$ of maxima and minima. Such kind of links are called plats and appear for…

Statistical Mechanics · Physics 2018-07-11 Franco Ferrari , Jarosław Paturej , Marcin Piątek , Yani Zhao

The interplay of topological constraints, excluded volume interactions, persistence length and dynamical entanglement length in solutions and melts of linear chains and ring polymers is investigated by means of kinetic Monte Carlo…

Statistical Mechanics · Physics 2009-10-31 M. Mueller , J. P. Wittmer , J. -L. Barrat

We study the adsorption-desorption phase transition of directed branched polymer in $d+1$ dimensions in contact with a line by mapping it to a $d$ dimensional hard core lattice gas at negative activity. We solve the model exactly in 1+1…

Statistical Mechanics · Physics 2009-11-10 Sumedha

The present paper is a continuation of \cite{dHP07b}. The object of interest is a two-dimensional model of a directed copolymer, consisting of a random concatenation of hydrophobic and hydrophilic monomers, immersed in an emulsion,…

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

We study the propulsion of a one-dimensional (1D) polymer chain under sinusoidal external forces in the overdamped (low Reynolds number) regime. We show that, when hydrodynamical interactions are included, the polymer presents directional…

Soft Condensed Matter · Physics 2012-09-25 Daniel Santos-Oliván , Alessandro Fiasconaro , Fernando Falo

The surface tension of interacting polymers in a good solvent is calculated theoretically and by computer simulations for a planar wall geometry and for the insertion of a single colloidal hard-sphere. This is achieved for the planar wall…

Soft Condensed Matter · Physics 2016-08-31 A. A. Louis , P. G. Bolhuis , E. J. Meijer , J. P. Hansen

In this chapter we review concepts and theories of polymer dynamics. We think of it as an introduction to the topic for scientists specializing in other subfields of statistical mechanics and condensed matter theory, so, for the readers…

Soft Condensed Matter · Physics 2017-08-01 Mikhail V. Tamm , Kirill Polovnikov

We analyzed extensively the dynamics of polymer chains in solutions simulated with dissipative particle dynamics (DPD), with a special focus on the potential influence of a low Schmidt number of a typical DPD fluid on the simulated polymer…

Soft Condensed Matter · Physics 2009-11-11 W. Jiang , J. Huang , Y. Wang , M. Laradji

We study pressurised self-avoiding ring polymers in two dimensions using Monte Carlo simulations, scaling arguments and Flory-type theories, through models which generalise the model of Leibler, Singh and Fisher [Phys. Rev. Lett. Vol. 59,…

Statistical Mechanics · Physics 2011-05-12 Mithun K. Mitra , Gautam I. Menon , R. Rajesh

We consider two (2D) and three (3D) dimensional granular systems exposed to compression, and ask what is the influence of the number of physical dimensions on the properties of the interaction networks that spontaneously form as these…

Soft Condensed Matter · Physics 2022-03-22 L. Kovalcinova , A. Taranto , L. Kondic

We consider the model of the directed polymer in a random medium of dimension 1+3, and investigate its multifractal properties at the localization/delocalization transition. In close analogy with models of the quantum Anderson localization…

Disordered Systems and Neural Networks · Physics 2007-06-13 Cecile Monthus , Thomas Garel

Some recent work pointed out the usefulness of taking a large-deviation perspective when trying to extract anything resembling a macroscopic order parameter from a computer simulation. In this paper we note that the end-to-end distance of…

Soft Condensed Matter · Physics 2026-03-20 Eleftherios Mainas , Jan Tobochnik , Richard Stratt

Motivated by recent experimental advances in creating polar molecular gases in the laboratory, we theoretically investigate the many body effects of two-dimensional dipolar systems with the anisotropic and $1/r^3$ dipole-dipole…

Quantum Gases · Physics 2010-12-20 Qiuzi Li , E. H. Hwang , S. Das Sarma

I describe in these notes the physical properties of one dimensional interacting quantum particles. In one dimension the combined effects of interactions and quantum fluctuations lead to a radically new physics quite different from the one…

Statistical Mechanics · Physics 2009-11-11 T. Giamarchi

This thesis presents several aspects of the physics of disordered elastic systems and of the analytical methods used for their study. On one hand we will be interested in universal properties of avalanche processes in the statics and…

Disordered Systems and Neural Networks · Physics 2017-05-23 Thimothée Thiery

Previous work shows that a net directed motion arises from a system of individual particles undergoing run-and-tumble dynamics in the presence of an array of asymmetric barriers. Here, we show that when the individual particle is replaced…

Soft Condensed Matter · Physics 2013-03-01 Mew-Bing Wan , YongSeok Jho

Quantum chaos is a major subject of interest in condensed matter theory, and has recently motivated new questions in the study of classical chaos. In particular, recent studies have uncovered interesting physics in the relationship between…

Statistical Mechanics · Physics 2023-07-24 Henry Ando , David A. Huse

A lattice model is presented for the simulation of dynamics in polymeric systems. Each polymer is represented as a chain of monomers, residing on a sequence of nearest-neighbor sites of a face-centered-cubic lattice. The polymers are self-…

Soft Condensed Matter · Physics 2009-11-10 Alexander van Heukelum , G. T. Barkema

We consider a one-dimensional directed polymer in a random potential which is characterized by the Gaussian statistics with the finite size local correlations. It is shown that the well-known Kardar's solution obtained originally for a…

Statistical Mechanics · Physics 2009-10-30 S. E. Korshunov , Vik. S. Dotsenko

This research paper comprehensively explores the effects of molecular weight and chain architecture on the interfacial and thermodynamic properties of cyclic and linear polymer blends. Utilizing the Kremer-Grest bead-spring model, the study…

Soft Condensed Matter · Physics 2025-07-11 Oluwatumininu Emmanuel Ayo-Ojo , Nkosinathi Dlamini