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Lattice-field calculations are performed on a Gaussian polymer chain confined to move within the region defined by two fused spheres. The results of the calculations are in accord with recent experimental measurements and computer…

Condensed Matter · Physics 2009-10-31 S. Tsonchev , R. D. Coalson

We propose a method for the theoretical investigation of polymer translocation through composite pore structures possessing arbitrarily specified geometries. Translocation through each constituent part of the composite is treated as being…

Soft Condensed Matter · Physics 2008-03-07 Aruna Mohan , Anatoly B. Kolomeisky , Matteo Pasquali

We consider an interface above an attractive hard wall in the complete wetting regime, and submitted to the action of an external increasing, convex potential, and study its delocalization as the intensity of this potential vanishes. Our…

Probability · Mathematics 2011-08-25 Yvan Velenik

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

The properties of diluted symmetric A-B diblock copolymers at the interface between A and B homopolymer phases are studied by means of Monte Carlo (MC) simulations of the bond fluctuation model. We calculate segment density profiles as well…

Chemical Physics · Physics 2015-06-26 A. Werner , F. Schmid , K. Binder , M. Mueller

A lattice model of the directed self-avoiding walk is used to estimate the possibility on the formation of an infinitely long linear semi-flexible copolymer chain. The copolymer chain is assumed to composed of four different types of the…

Statistical Mechanics · Physics 2021-04-28 Pramod Kumar Mishra

We study a model of a semiflexible long chain polymer confined to a two-dimensional slit of width $w$, and interacting with the walls of the slit. The interactions with the walls are controlled by Boltzmann weights $a$ and $b$, and the…

Statistical Mechanics · Physics 2019-12-03 Nicholas R. Beaton , Leo Li , Jonathon Liu , Thomas Wong

We investigate a modified version of the $AB$ random sequential adsorption model. Specifically, this model involves the deposition of two distinct types of particles onto a lattice, with the constraint that different types cannot occupy…

Mathematical Physics · Physics 2024-08-12 Charles S. do Amaral , Diogo C. dos Santos

Configurational fluctuations of conducting polymers in solution can bring into proximity monomers which are distant from each other along the backbone. Electrons can hop between these monomers across the "bridges" so formed. We show how…

Soft Condensed Matter · Physics 2009-10-31 Daniel W. Hone , Henri Orland

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

The correlations between the sequence of monomers in a polymer and its three-dimensional structure is a grand challenge in polymer science and biology. The properties and functions of macromolecules depend on their 3D shape that has…

Materials Science · Physics 2021-07-15 Ashwin A Bale , Tarak K Patra

A quantum particle can be localized in a disordered potential, the effect known as Anderson localization. In such a system, correlations of wave functions at very close energies may be described, due to Mott, in terms of a hybridization of…

Mesoscale and Nanoscale Physics · Physics 2012-01-17 D. A. Ivanov , M. A. Skvortsov , P. M. Ostrovsky , Ya. V. Fominov

In this paper, we explore the localization transition and the scaling properties of both quasi-one-dimensional and two-dimensional quasiperiodic systems, which are constituted from coupling several Aubry-Andr\'{e} (AA) chains along the…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Ai-Min Guo , X. C. Xie , Qing-feng Sun

We obtain the entropy of flexible linear chains composed of M monomers placed on the square lattice using a transfer matrix approach. An excluded volume interaction is included by considering the chains to be self-and mutually avoiding, and…

Statistical Mechanics · Physics 2009-11-07 W. G. Dantas , J. F. Stilck

Simulation within the grand canonical ensemble is the method of choice for accurate studies of first order vapour-liquid phase transitions in model fluids. Such simulations typically employ sampling that is biased with respect to the…

Statistical Mechanics · Physics 2016-09-21 Nigel B. Wilding

There have been separate studies of the polymer collapse transition, where the collapse was induced by two different types of attraction. In each case, the configurations of the polymer were given by the same subset of random walks being…

Statistical Mechanics · Physics 2015-06-17 Andrea Bedini , Aleksander L Owczarek , Thomas Prellberg

In this review we provide an organized summary of the theoretical and computational results which are available for polymers subject to spatial or topological constraints. Because of the interdisciplinary character of the topic, we provide…

Statistical Mechanics · Physics 2015-03-19 Cristian Micheletti , Davide Marenduzzo , Enzo Orlandini

We review recent simulation studies of interfaces between immiscible homopolymer phases. Special emphasis is given to the presentation of efficient simulation techniques and powerful methods of data analysis, such as the analysis of…

Soft Condensed Matter · Physics 2016-11-03 M. Mueller , F. Schmid

The conformational and electronic properties of conducting flexible random and self-avoiding walk polymer chains are under investigation. A Hamiltonian for conjugated flexible polymers is introduced and its physical consequences are…

Condensed Matter · Physics 2009-10-22 M. Otto , T. A. Vilgis

We study ground states of a hybrid system consisting of a polymer and an attractive nanowire by means of computer simulations. Depending on structural and energetic properties of the substrate, we find different adsorbed polymer…

Soft Condensed Matter · Physics 2011-03-10 Thomas Vogel , Michael Bachmann