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Cold ions in anisotropic harmonic potentials can form ion chains of various sizes. Here, the density of ions is not uniform, thus the eigenmodes are not phononic-like waves. We study chains of N>>1 ions and evaluate analytically the long…

Statistical Mechanics · Physics 2009-11-10 Giovanna Morigi , Shmuel Fishman

We study the behaviour of a hydrophobic chain near a hydrophobic boundary in two dimensions, using the decorated lattice model of Berkema and Widom [G.T. Barkema and B. Widom, J. Chem. Phys. 113, 2349 (2000)] to obtain effective,…

Statistical Mechanics · Physics 2015-06-24 Pinar Onder , Ayse Erzan

The dynamics of short 1D nonlinear Hamiltonian chains is analyzed numerically at different temperatures (energy per particle). The boundary temperature $T_b$ separating the regular (quasiperiodic) and the stochastic (chaotic) chain motion…

Chaotic Dynamics · Physics 2014-04-25 A. N. Artemov

Molecular process of polymer collapse was reproduced by isothermal molecular dynamics simulation. The initial polymer chains were obtained by mean of random walks in continuum space. Two potential models were considered to represent short…

Soft Condensed Matter · Physics 2007-05-23 S. A. Sabeur , F. Hamdache , M. Bouarkat

Predicting the macroscopic mechanical behavior of polymeric materials from the micro-structural features has remained a challenge for decades. Existing theoretical models often fail to accurately capture the experimental data, due to…

Soft Condensed Matter · Physics 2025-07-04 Lin Zhan , Siyu Wang , Rui Xiao , Shaoxing Qu , Paul Steinmann

We consider the thermodynamics of a uniformly charged polyelectrolyte with harmonic bonds. For such a system there is at high temperatures an approximate scaling of global properties like the end-to-end distance and the interaction energy…

chem-ph · Physics 2016-08-15 Carsten Peterson , Ola Sommelius , Bo Söderberg

The electrophoretic behaviour of flexible polyelectrolyte chains ranging from single monomers up to long fragments of hundred repeat units is studied by a mesoscopic simulation approach. Abstracting from the atomistic details of the…

Soft Condensed Matter · Physics 2015-05-13 Kai Grass , Christian Holm

The equilibrium structure and dynamics of a single polymer chain in a thermal solvent is by now well-understood in terms of scaling laws. Here we consider a polymer in a bacterial bath, i.e. in a solvent consisting of active particles which…

Soft Condensed Matter · Physics 2014-07-29 Andreas Kaiser , Hartmut Löwen

We model a macromolecule as an infinitely long Gaussian semi-flexible polymer chain and the conformations of the chain were realized in the nano cube using a cubic lattice. A modified version of the recursion relations is used to calculate…

Soft Condensed Matter · Physics 2022-01-11 Pramod Kumar Mishra

We study a single self avoiding hydrophilic hydrophobic polymer chain, through Monte Carlo lattice simulations. The affinity of monomer $i$ for water is characterized by a (scalar) charge $\lambda_{i}$, and the monomer-water interaction is…

Condensed Matter · Physics 2009-10-31 E. Orlandini , T. Garel

The density crossover scaling of various thermodynamic properties of solutions and melts of self-avoiding and highly flexible polymer chains without chain intersections confined to strictly two dimensions is investigated by means of…

Soft Condensed Matter · Physics 2012-09-03 N. Schulmann , H. Meyer , P. Polińska , J. Baschnagel , J. P. Wittmer

Based on the analogy with the quantum mechanics of a particle propagating in a {\em complex} potential, we develop a field-theoretical description of the statistical properties of a self-avoiding polymer chain in a random environment. We…

Statistical Mechanics · Physics 2008-11-26 A. V. Izyumov , K. V. Samokhin

Dipolar fluids are known to exhibit complex self-assembly at low temperatures, yet a compact thermodynamic description of their aggregate statistics has remained elusive. Using molecular dynamics simulations of Stockmayer particles with a…

Chemical Physics · Physics 2026-04-23 Zhongqi Liang , Jesús Peréz-Ríos

We analyse the thermal properties of a harmonic chain with weak correlated disorder. With the use of a perturbative approach we derive analytical expressions for the time-evolution of the chain temperature and of the heat flow when both…

Disordered Systems and Neural Networks · Physics 2010-04-29 I. F. Herrera-González , F. M. Izrailev , L. Tessieri

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 study the statistical properties of hydrophobic/polar model sequences with unique native states on the square lattice. It is shown that this ensemble of sequences differs from random sequences in significant ways in terms of both the…

Soft Condensed Matter · Physics 2009-10-31 Anders Irbäck , Erik Sandelin

In this chapter we review the rich behavior of polymer chains embedded in a quenched random environment. We first consider the problem of a Gaussian chain free to move in a random potential with short-ranged correlations. We derive the…

Disordered Systems and Neural Networks · Physics 2007-05-23 Yadin Y. Goldschmidt , Yohannes Shiferaw

In this paper we study the shape characteristics of a polymer chain in a good solvent using a mesoscopic level of modelling. The dissipative particle dynamics simulations are performed in the $3D$ space at a range of chain lengths $N$. The…

Soft Condensed Matter · Physics 2016-11-24 Ostap Kalyuzhnyi , Jaroslav Ilnytskyi , Yurij Holovatch , Christian von Ferber

Chain-like macromolecules in solution, whether biological or synthetic, transform from an extended conformation to a compact one when temperature or other system parameters change. This collapse transition is relevant in various phenomena,…

Soft Condensed Matter · Physics 2026-05-18 Yanyan Zhu , Haim Diamant , David Andelman

We report extensive simulations of the relaxation dynamics of a self-avoiding polymer confined inside a cylindrical pore. In particular, we concentrate on examining how confinement influences the scaling behavior of the global relaxation…

Soft Condensed Matter · Physics 2009-11-13 A. Arnold , B. Bozorgui , D. Frenkel , B. -Y. Ha , S. Jun
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