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We study the model of a partially directed flexible or semi-flexible homopolymer on a square lattice, subject to an externally applied force, in a direction either parallel to, or perpendicular to the preferred direction. The polymer is…

统计力学 · 物理学 2015-05-19 Pui-Man Lam , Yi Zhen

Using the recently introduced parsimonious Metropolis algorithm bead-stick polymers both with infinite-range Lennard-Jones interaction and with truncation are simulated. The focus lays on determining the Boyle temperature for long chains…

软凝聚态物质 · 物理学 2023-09-06 Stefan Schnabel , Wolfhard Janke

A planar square lattice model with 3-d spins interacting with nearest neighbours through a potential -$\epsilon P_4 (cos \theta_{ij})$ is studied by Monte Carlo technique. Lattice sizes from 10$\times$10 to 30$\times$30 are considered for…

软凝聚态物质 · 物理学 2008-02-03 Kisor Mukhopadhyay , Abhijit Pal , Soumen Kumar Roy

We study a model of close-packed dimers on the square lattice with a nearest neighbor interaction between parallel dimers. This model corresponds to the classical limit of quantum dimer models [D.S. Rokhsar and S.A. Kivelson, Phys. Rev.…

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

Trails (bond-avoiding walks) provide an alternative lattice model of polymers to self-avoiding walks, and adding self-interaction at multiply visited sites gives a model of polymer collapse. Recently, a two-dimensional model (triangular…

统计力学 · 物理学 2013-02-01 Andrea Bedini , Aleksander L Owczarek , Thomas Prellberg

We study the problem of adsorption and collapse transition of a linear polymer chain situated in a fractal container represented by a 4-simplex lattice and interacting with a surface adsorbed linear polymer chain. The adsorbed chain…

统计力学 · 物理学 2009-10-31 Sanjay Kumar , Yashwant Singh

We present a Bethe approximation to study lattice models of linear polymers. The approach is variational in nature and based on the cluster variation method (CVM). We focus on a model with $(i)$ a nearest neighbor attractive energy…

统计力学 · 物理学 2009-10-31 Stefano Lise , Amos Maritan , Alessandro Pelizzola

We investigate the kinetics of a polymer collapse due to the formation of irreversible crosslinks between its monomers. Using the contact probability $P(s)$ as a scale-dependent order parameter depending on the chemical distance $s$, our…

软凝聚态物质 · 物理学 2018-08-15 Vittore F. Scolari , Guillaume Mercy , Romain Koszul , Annick Lesne , Julien Mozziconacci

It has been revealed by mean-field theories and computer simulations that the nature of the collapse transition of a polymer is influenced by its bending stiffness $\epsilon_{\rm b}$. In two dimensions, a recent analytical work demonstrated…

软凝聚态物质 · 物理学 2009-11-13 Jie Zhou , Zhong-Can Ou-Yang , Haijun Zhou

We study long polymer chains in a poor solvent, confined to the space between two parallel hard walls. The walls are energetically neutral and pose only a geometric constraint which changes the properties of the coil-globule (or…

软凝聚态物质 · 物理学 2009-11-10 Hsiao-Ping Hsu , Peter Grassberger

Histogram-reweighting Monte Carlo simulations were used to obtain polymer / solvent phase diagrams for lattice homopolymers of chain lengths up to r=1000 monomers. The simulation technique was based on performing a series of grand canonical…

软凝聚态物质 · 物理学 2009-10-30 Athanassios Z. Panagiotopoulos , Vicky Wong , M. Antonio Floriano

We revisit an integrable lattice model of polymer collapse using numerical simulations. This model was first studied by Bl\"ote and Nienhuis in J. Phys. A. {\bf 22}, 1415 (1989) and it describes polymers with some attraction, providing thus…

统计力学 · 物理学 2015-06-12 A. Bedini , A. L. Owczarek , T. Prellberg

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,…

软凝聚态物质 · 物理学 2026-05-18 Yanyan Zhu , Haim Diamant , David Andelman

The universality of the swelling of the radius of gyration of a homopolymer relative to its value in the $\theta$ state, independent of polymer-solvent chemistry, in the crossover regime between $\theta$ and athermal solvent conditions, is…

软凝聚态物质 · 物理学 2020-07-03 Aritra Santra , Kiran Kumari , R. Padinhateeri , B. Duenweg , J. Ravi Prakash

Conformational properties of a single flexible polyelectrolyte chain in a poor solvent are studied using constant temperature molecular dynamics simulation. The effects of counterions are explicitly taken in to account. Structural…

统计力学 · 物理学 2012-12-04 Anoop Varghese , Satyavani Vemparala , R. Rajesh

Polymer chains undergoing a continuous adsorption-desorption transition are studied through extensive computer simulations. A three-dimensional self-avoiding walk lattice model of a polymer chain grafted onto a surface has been treated for…

统计力学 · 物理学 2018-05-30 P. H. L. Martins , J. A. Plascak , M. Bachmann

We numerically investigate the influence of self-attraction on the critical behaviour of a polymer in two dimensions, by means of an analysis of finite-size results of transfer-matrix calculations. The transfer matrix is constructed on the…

统计力学 · 物理学 2015-06-25 H. W. J. Blöte , M. T. Batchelor , B. Nienhuis

Long linear polymers in dilute solutions are known to undergo a collapse transition from a random coil (expand itself) to a compact ball (fold itself up) when the temperature is lowered, or the solvent quality deteriorates. A natural model…

概率论 · 数学 2015-06-12 Gia Bao Nguyen , Nicolas Petrelis

The phase diagram of the collapse of a two-dimensional infinite branched polymer interacting with the solvent and with itself through contact interactions is studied from the $q\to 1$ limit of an extension of the $q-$ states Potts model.…

凝聚态物理 · 物理学 2009-10-28 Malte Henkel , Flavio Seno