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A polymer chain tethered to a surface may be compact or extended, adsorbed or desorbed, depending on interactions with the surface and the surrounding solvent. This leads to a rich phase diagram with a variety of transitions. To investigate…

软凝聚态物质 · 物理学 2009-11-13 Jutta Luettmer-Strathmann , Federica Rampf , Wolfgang Paul , Kurt Binder

Certain polymer models are known to exhibit path localization in the sense that at low temperatures, the average fractional overlap of two independent samples from the Gibbs measure is bounded away from $0$. Nevertheless, the question of…

概率论 · 数学 2021-08-27 Erik Bates

We investigate the crystallization of a single, flexible homopolymer chain using transition path sampling (TPS). The chain consists of N identical spherical monomers evolved according to Langevin dynamics. While neighboring monomers are…

软凝聚态物质 · 物理学 2016-08-17 Christian Leitold , Christoph Dellago

We have performed chain-growth simulations of minimalistic hybrid lattice models for polymers interacting with interfaces of attractive solid substrates in order to gain insights into the conformational transitions of the polymers in the…

软凝聚态物质 · 物理学 2011-07-04 Michael Bachmann , Wolfhard Janke

We consider the adsorption of a random heteropolymer onto an interface within the model by Garel et al. [1] by taking into account self-interactions between the monomers. Within the replica trick and by using a self-consistent preaveraging…

软凝聚态物质 · 物理学 2009-11-07 Valerii A. Brazhnyi , Semjon Stepanow

A Hamiltonian cycle of a graph is a closed path that visits every vertex once and only once. It serves as a model of a compact polymer on a lattice. I study the number of Hamiltonian cycles, or equivalently the entropy of a compact polymer,…

统计力学 · 物理学 2009-10-31 Saburo Higuchi

Different aspects of protein folding are illustrated by simplified polymer models. Stressing the diversity of side chains (residues) leads one to view folding as the freezing transition of an heteropolymer. Technically, the most common…

软凝聚态物质 · 物理学 2007-05-23 T. Garel

The adsorption of an ideal heteropolymer loop at a potential point well is investigated within the frameworks of a standard random matrix theory. On the basis of semi-analytical/semi-numerical approach the histogram of transition points for…

无序系统与神经网络 · 物理学 2009-10-31 A. Naidenov , S. Nechaev

Conformational phases of a semiflexible off-lattice homopolymer model near an attractive substrate are investigated by means of multicanonical computer simulations. In our polymer-substrate model, nonbonded pairs of monomers as well as…

计算物理 · 物理学 2009-07-20 Monika Möddel , Michael Bachmann , Wolfhard Janke

The Hamiltonian dynamics of chains of nonlinearly coupled particles is numerically investigated in two and three dimensions. Simple, off-lattice homopolymer models are used to represent the interparticle potentials. Time averages of…

统计力学 · 物理学 2007-05-23 Alessandro Mossa , Marco Pettini , Cecilia Clementi

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…

统计力学 · 物理学 2009-10-31 A. Trovato , J. van Mourik , A. Maritan

In a recent letter, a simple method was proposed to generate solvable models that predict the critical properties of statistical systems in hyperspherical geometries. To that end, it was shown how to reduce a random walk in $D$ dimensions…

高能物理 - 格点 · 物理学 2018-07-06 S. Boettcher

We analyze the freezing and collapse transition of a simple model for flexible polymer chains on simple cubic and face-centered cubic lattices by means of sophisticated chain-growth methods. In contrast to bond-fluctuation polymer models in…

软凝聚态物质 · 物理学 2009-02-16 Thomas Vogel , Michael Bachmann , Wolfhard Janke

The subject of this work is the adsorption transition of a long flexible self-avoiding polymer chain onto a rigid thin rod. The rod is represented by a cylinder of radius R with a short-ranged attractive surface potential for the chain…

统计力学 · 物理学 2009-11-11 Andreas Hanke

Wang-Landau sampling has been applied to investigate the thermodynamics and structural properties of a lattice hydrophobic-polar heteropolymer (the HP protein model) interacting with an attractive substrate. For simplicity, we consider a…

软凝聚态物质 · 物理学 2013-01-16 Ying Wai Li , Thomas Wüst , David P. Landau

Based on our previous paper [cond-mat/0507477], we establish a general model for the whip-toroid transitions of a semiflexible homopolymer chain using the path integral method and the O(3) nonlinear sigma model on a line segment with the…

软凝聚态物质 · 物理学 2007-05-23 Yukitaka Ishimoto , Norio Kikuchi

Growing experimental evidence shows that proteins follow one or a few distinct paths when folding. We propose in this paper a procedure to parametrize these observed pathways, and from this parametrization construct effective Hamiltonians…

凝聚态物理 · 物理学 2007-05-23 Paul G. Dommersnes , Alex Hansen , Mogens H. Jensen , Kim Sneppen

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…

软凝聚态物质 · 物理学 2009-10-31 Daniel W. Hone , Henri Orland

A linear copolymer made of two reciprocally attracting N-monomer blocks collapses to a compact phase through a novel transition, whose exponents are determined with extensive MC simulations in two and three dimensions. In the former case,…

软凝聚态物质 · 物理学 2009-10-31 E. Orlandini , F. Seno , A. L. Stella

We show that the evolution of two-component particles governed by a two-dimensional spin-orbit lattice Hamiltonian can reveal transitions between topological phases. A kink in the mean width of the particle distribution signals the closing…

量子气体 · 物理学 2017-11-16 Wei-Wei Zhang , Barry C. Sanders , Simon Apers , Sandeep K. Goyal , David L. Feder
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