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We use complete enumeration and Monte Carlo techniques to study self--avoiding walks with random nearest--neighbor interactions described by $v_0q_iq_j$, where $q_i=\pm1$ is a quenched sequence of ``charges'' on the chain. For equal numbers…

凝聚态物理 · 物理学 2009-10-22 Yacov Kantor , Mehran Kardar

We study the collapse transition of a polymer on a square lattice with both nearest-neighbor and next nearest-neighbor interactions, by calculating the exact partition function zeros up to chain length 36. The transition behavior is much…

统计力学 · 物理学 2012-06-06 Jae Hwan Lee , Seung-Yeon Kim , Julian Lee

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…

统计力学 · 物理学 2015-06-17 Andrea Bedini , Aleksander L Owczarek , Thomas Prellberg

The conformations of interacting linear polymers on a dynamical planar random lattice are studied using a random two-matrix model. An exact expression for the partition function of self-avoiding chains subject to attractive contact…

凝聚态物理 · 物理学 2008-02-03 Simon Dalley

In earlier work we provided the first evidence that the collapse, or coil-globule, transition of an isolated polymer in solution can be seen in a four-dimensional model. Here we investigate, via Monte Carlo simulations, the canonical…

统计力学 · 物理学 2009-10-31 T. Prellberg , A. L. Owczarek

We study the phase behavior of single homopolymers in a simple hydrophobic/hydrophilic off-lattice model with sequence independent local interactions. The specific heat is, not unexpectedly, found to exhibit a pronounced peak well below the…

软凝聚态物质 · 物理学 2009-10-31 Anders Irbäck , Erik Sandelin

By an efficient algorithm we evaluate exactly the disorder-averaged statistics of globally neutral self-avoiding chains with quenched random charge $q_i=\pm 1$ in monomer i and nearest neighbor interactions $\propto q_i q_j$ on square (22…

软凝聚态物质 · 物理学 2009-10-31 P. Monari , A. L. Stella

We introduce and implement a Monte Carlo scheme to study the equilibrium statistics of polymers in the globular phase. It is based on a model of "interacting elastic lattice polymers" and allows a sufficiently good sampling of long and…

统计力学 · 物理学 2014-06-25 M. Baiesi , E. Orlandini

We explore the critical behaviour of two and three dimensional lattice models of polymers in dilute solution where the monomers carry a magnetic moment which interacts ferromagnetically with near-neighbour monomers. Specifically, the model…

统计力学 · 物理学 2021-08-25 Damien Paul Foster , Debjyoti Majumdar

We study by computer simulation a recently introduced generalised model of self-interacting self-avoiding trails on the square lattice that distinguishes two topologically different types of self-interaction: namely crossings where the…

统计力学 · 物理学 2013-02-01 A. Bedini , A. L. Owczarek , T. Prellberg

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…

凝聚态物理 · 物理学 2009-10-31 E. Orlandini , T. Garel

We investigate polymers pulled away from an interacting surface, where the force is applied to the untethered endpoint and at an angle $\theta$ to the surface. We use the canonical self-avoiding walk model of polymers and obtain the phase…

软凝聚态物质 · 物理学 2026-03-03 C J Bradly , N R Beaton , A L Owczarek

We present a Monte Carlo algorithm that provides efficient and unbiased sampling of polymer melts consisting of two chains of equal length that jointly visit all the sites of a cubic lattice with rod geometry L x L x rL and non-periodic…

统计力学 · 物理学 2010-11-03 Jesper Lykke Jacobsen

We investigate a lattice model of polymers where the nearest-neighbour monomer-monomer interaction strengths differ according to whether the local configurations have so-called ``hydrogen-like'' formations or not. If the interaction…

软凝聚态物质 · 物理学 2009-11-13 J Krawczyk , A L Owczarek , T Prellberg

We perform an exact enumeration study of polymers formed from a (quenched) random sequence of charged monomers $\pm q_0$. Such polymers, known as polyampholytes, are compact when completely neutral and expanded when highly charged. Our…

凝聚态物理 · 物理学 2009-10-28 Yacov Kantor , Mehran Kardar

Using molecular dynamics simulation of a standard bead-spring model we investigate the density crossover scaling of strictly two-dimensional self-avoiding polymer chains focusing on properties related to the contact exponent set by the…

软凝聚态物质 · 物理学 2015-06-03 N. Schulmann , H. Meyer , J. P. Wittmer , A. Johner , J. Baschnagel

We perform an exact enumeration study of polymers formed from a (quenched) random sequence of charged monomers $\pm q_0$, restricted to a 2-dimensional square lattice. Monomers interact via a logarithmic (Coulomb) interaction. We study the…

软凝聚态物质 · 物理学 2009-10-30 Eilon Brenner , Yacov Kantor

We have studied the transition in shape of two dimensional polyampholytes using Monte Carlo simulation. We observe that polymers with randomly charged monomers get into a globular shape at lower temperatures, provided that their total…

凝聚态物理 · 物理学 2007-05-23 M. R. Ejtehadi , S. Rouhani

This paper considers an undirected polymer chain on $\mathbb{Z}^d$, $d \geq 2$, with i.i.d.\ random charges attached to its constituent monomers. Each self-intersection of the polymer chain contributes an energy to the interaction…

数学物理 · 物理学 2018-02-14 Quentin Berger , Frank den Hollander , Julien Poisat

Self-avoiding polymers in strictly two-dimensional ($d=2$) melts are investigated by means of molecular dynamics simulation of a standard bead-spring model with chain lengths ranging up to N=2048. % The chains adopt compact configurations…

软凝聚态物质 · 物理学 2015-05-18 H. Meyer , J. P. Wittmer , T. Kreer , A. Johner , J. Baschnagel
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