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We present Monte Carlo simulations of semidilute solutions of long self-attracting chain polymers near their Ising type critical point. The polymers are modeled as monodisperse self-avoiding walks on the simple cubic lattice with attraction…

Soft Condensed Matter · Physics 2009-10-30 H. Frauenkron , P. Grassberger , HLRZ Juelich , Germany

We show that two semi-infinite positive temperature polymers coalesce on the scale predicted by KPZ (Kardar-Parisi-Zhang) universality. The two polymer paths have the same asymptotic direction and evolve in the same environment,…

Probability · Mathematics 2023-05-18 Firas Rassoul-Agha , Timo Seppäläinen , Xiao Shen

Understanding the nature of glass transition, as well as precise estimation of the glass transition temperature for polymeric materials, remain open questions in both experimental and theoretical polymer sciences. We propose a data-driven…

Soft Condensed Matter · Physics 2023-08-03 Atreyee Banerjee , Hsiao-Ping Hsu , Kurt Kremer , Oleksandra Kukharenko

The process of polymer condensation, i.e. the formation of bonds between reactive end-groups, is ubiquitous in both industry and biology. Here we study generic systems undergoing polymer condensation in competition with cyclisation. Using a…

There are some particular one-dimensional models, such as the Ising-Heisenberg spin models with a variety of chain structures, which exhibit unexpected behaviors quite similar to the first and second order phase transition, which could be…

Statistical Mechanics · Physics 2017-12-06 S. M. de Souza , Onofre Rojas

In this paper, we investigate a model for a $1+1$ dimensional self-interacting and partially directed self-avoiding walk, usually referred to by the acronym IPDSAW. The interaction intensity and the free energy of the system are denoted by…

Probability · Mathematics 2015-07-29 P. Carmona , G. B. Nguyen , N. Pétrélis

By large-scale Monte Carlo simulations of semiflexible polymers in $d=2$ dimensions the applicability of the Kratky-Porod model is tested. This model is widely used as "standard model" for describing conformations and force versus extension…

Soft Condensed Matter · Physics 2011-11-15 Hsiao-Ping Hsu , Wolfgang Paul , Kurt Binder

Advanced chain-growth computer simulation methodologies have been employed for a systematic statistical analysis of the critical behavior of a polymer adsorbing at a substrate. We use finitesize scaling techniques to investigate the…

Soft Condensed Matter · Physics 2017-05-09 J. A. Plascak , Paulo H. L. Martins , Michael Bachmann

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

We propose and study a model of polymer chains in a bilayer. Each chain is confined in one of the layers and polymer bonds on first neighbor edges in different layers interact. We also define and comment results for a model with…

Statistical Mechanics · Physics 2015-06-05 Pablo Serra , Jürgen F. Stilck

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

A lattice model of a hetero-polymer with random hydrophilic-hydrophobic charges interacting with the solvent is introduced, whose continnuum counterpart has been proposed by T. Garel, L. Leibler and H. Orland {J. Phys. II France 4, 2139…

Statistical Mechanics · Physics 2009-10-31 A. Trovato , J. van Mourik , A. Maritan

We investigate the lattice Coulomb glass model in three dimensions via Monte Carlo simulations. No evidence for an equilibrium glass phase is found down to very low temperatures, although the correlation length increases rapidly near T=0. A…

Disordered Systems and Neural Networks · Physics 2009-07-27 Martin Goethe , Matteo Palassini

We construct a local interacting quantum dimer model on the square lattice, whose zero-temperature phase diagram is characterized by a line of critical points separating two ordered phases of the valence bond crystal type. On one side, the…

Strongly Correlated Electrons · Physics 2007-05-23 Claudio Castelnovo , Claudio Chamon , Christopher Mudry , Pierre Pujol , .

We present a statistical model of a dilute polymer solution in good solvent in the presence of low-molecular weight cosolvent. We investigate the conformational changes of the polymer induced by a change of the cosolvent concentration and…

Statistical Mechanics · Physics 2014-11-10 Yu. A. Budkov , A. L. Kolesnikov , N. Georgi , M. G. Kiselev

Recent advances in Generalized Ensemble simulations and microcanonical analysis allowed the investigation of structural transitions in polymer models over a broad range of local bending and torsion strengths. It is reasonable to argue that…

Soft Condensed Matter · Physics 2022-09-07 B. B. Rodrigues , J. C. S. Rocha , B. V. Costa

We consider the phase transition induced by compressing a self-avoiding walk in a slab where the walk is attached to both walls of the slab in two and three dimensions, and the resulting phase once the polymer is compressed. The process of…

Statistical Mechanics · Physics 2025-11-19 C J Bradly , N R Beaton , A L Owczarek

We probe the thermodynamic phase structure of four dimensional Horava Lifshitz black holes by Lyapunov exponent analysis. For both massless and massive test particles, the Lyapunov exponent exhibits a multivalued dependence on temperature…

High Energy Physics - Theory · Physics 2026-04-29 Mozib Bin Awal , Prabwal Phukon

We introduce an extension of the lattice model of melting of semiflexible polymers originally proposed by Flory. Along with a bending penalty, present in the original model and involving three sites of the lattice, we introduce an…

Soft Condensed Matter · Physics 2009-11-10 Andrea Corsi , P. D. Gujrati

We report dynamic Monte Carlo simulation on conformational transition of H-shaped branched polymers by varying main chain (backbone) and side chain (branch) length. H-shaped polymers in comparison with equivalent linear polymers exhibit a…

Soft Condensed Matter · Physics 2015-06-17 Ashok Kumar Dasmahapatra , Venkata Mahanth Sanka