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We study the conformational properties of heteropolymers containing two types of monomers A and B, modeled as self-avoiding random walks on a regular lattice. Such a model can describe in particular the sequences of hydrophobic and…

Disordered Systems and Neural Networks · Physics 2014-09-01 Viktoria Blavatska , Wolfhard Janke

We investigate solid-solid and solid-liquid transitions of elastic flexible off-lattice polymers with Lennard-Jones monomer-monomer interaction and anharmonic springs by means of sophisticated variants of multicanonical Monte Carlo methods.…

Soft Condensed Matter · Physics 2010-07-23 Stefan Schnabel , Michael Bachmann , Wolfhard Janke

We use lattice-Boltzmann molecular dynamics (LBMD) simulations to study the compression of a confined polymer immersed in a fluid and pushed by a large spherical colloid with a diameter comparable to the channel width. We examined the…

Soft Condensed Matter · Physics 2024-06-24 Setarehalsadat Changizrezaei , Mikko Karttunen , Colin Denniston

We study the static properties of a semiflexible polymer exposed to a quenched random environment by means of computer simulations. The polymer is modeled as two-dimensional Heisenberg chain. For the random environment we consider hard…

Soft Condensed Matter · Physics 2012-11-20 Sebastian Schoebl , Johannes Zierenberg , Wolfhard Janke

We obtain the solution of models of self-avoiding walks with attractive interactions on Husimi lattices built with squares. Two attractive interactions are considered: between monomers on first-neighbor sites and not consecutive along a…

Statistical Mechanics · Physics 2009-11-10 Pablo Serra , Juergen F. Stilck , Welchy L. Cavalcanti , Kleber D. Machado

In random heteropolymer globules with short-range interactions between the monomers, freezing takes place at the microscopic length scale only, and can be described by a 1-step replica symmetry breaking. The fact that the long-range Coulomb…

Soft Condensed Matter · Physics 2009-10-31 Hindrik Jan Angerman , Eugene Shakhnovich

Biopolymers are characterized by heterogeneous interactions, and usually perform their biological tasks forming contacts within domains of limited size. Combining polymer theory with a replica approach, we study the scaling properties of…

Biomolecules · Quantitative Biology 2015-08-05 Guido Tiana

The folding transition of single, long semiflexible polymers was studied with special emphasis on the chain length effect using Monte Carlo simulations. While a relatively short chain (10-25 Kuhn segments) undergoes a large discrete…

Soft Condensed Matter · Physics 2008-05-06 Yuji Higuchi , Takahiro Sakaue , Kenichi Yoshikawa

We have studied the aging effect on the dynamics of unbinding of a double stranded directed polymer in a random medium. By using the Monte Carlo dynamics of a lattice model in two dimensions, for which disorder is known to be relevant, the…

Soft Condensed Matter · Physics 2009-10-30 Somendra M. Bhattacharjee , A. Baumgärtner

The critical behavior of adsorbed monomers that reversibly polymerize into linear chains with restricted orientations relative to the substrate has been studied. In the model considered here, which is known as self-assembled rigid rods…

Statistical Mechanics · Physics 2015-06-15 L. G. López , D. H. Linares , A. J. Ramirez-Pastor , D. A. Stariolo , S. A. Cannas

We present Monte Carlo computer simulations for melts of semiflexible randomly knotted and randomly concatenated ring polymers on the fcc lattice and in slit confinement. Through systematic variation of the slit width at fixed melt density,…

Soft Condensed Matter · Physics 2023-07-06 Mattia Alberto Ubertini , Angelo Rosa

We analyze a (1+1)-dimension directed random walk model of a polymer dipped in a medium constituted by two immiscible solvents separated by a flat interface. The polymer chain is heterogeneous in the sense that a single monomer may…

Probability · Mathematics 2007-05-23 Erwin Bolthausen , Giambattista Giacomin

We study numerically a lattice model of semiflexible homopolymers with nearest neighbor attraction and energetic preference for straight joints between bonded monomers. For this we use a new algorithm, the "Pruned-Enriched Rosenbluth…

Statistical Mechanics · Physics 2009-10-30 Ugo Bastolla , Peter Grassberger

Histogram-reweighting grand canonical Monte Carlo simulations are used to obtain the critical properties of lattice chains composed of solvophilic and solvophobic monomers. The model is a modification of one proposed by Larson \emph{et al.}…

Soft Condensed Matter · Physics 2024-06-18 Athanassios Z. Panagiotopoulos

The statistical mechanics of a ribbon polymer made up of two semiflexible chains is studied using both analytical techniques and simulation. The system is found to have a crossover transition at some finite temperature, from a type of short…

Soft Condensed Matter · Physics 2009-10-31 Ramin Golestanian , Tanniemola B. Liverpool

Motivated by the idea that intrinsically disordered proteins (IDPs) condense into liquid-like droplets within cells, we carry out Monte Carlo simulations of a polymer lattice model to study the relationship between charge patterning and…

Soft Condensed Matter · Physics 2019-12-11 Nicholas A. S. Robichaud , Ivan Saika-Voivod , Stefan Wallin

There are strong evidences that the melting in two dimensions depends crucially on the form and range of the interaction potentials between particles. We study with Monte Carlo simulations the phase diagram and the melting of a monolayer of…

Statistical Mechanics · Physics 2013-01-09 Martial Mazars

The unfolding of a polymer below the $\theta$ point when pulled by an external force is studied both in d=2 on the lattice and in $d=3$ off lattice. A ground state analysis of finite length chains shows that the globule unfolds via multiple…

Statistical Mechanics · Physics 2009-11-07 D. Marenduzzo , A. Maritan , A. Rosa , F. Seno

Mean field replica theory is employed to analyze the freezing transition of random heteropolymers comprised of an arbitrary number ($q$) of types of monomers. Our formalism assumes that interactions are short range and heterogeneity comes…

Condensed Matter · Physics 2009-10-22 Vijay S. Pande , Alexander Yu. Grosberg , Toyoichi Tanaka

An end-grafted flexible polymer chain in 3d space between two pistons undergoes an abrupt transition from a confined coil to a flower-like conformation when the number of monomers in the chain, N, reaches a critical value. In 2d geometry,…

Statistical Mechanics · Physics 2009-11-13 Hsiao-Ping Hsu , Kurt Binder , Leonid I. Klushin , Alexander M. Skvortsov