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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

Using extensive molecular dynamics simulations, we obtain the conformational phase diagram of a charged polymer in the presence of oppositely charged counterions and neutral attractive crowders for monovalent, divalent and trivalent…

软凝聚态物质 · 物理学 2023-08-21 Kamal Tripathi , Hitesh Garg , R. Rajesh , Satyavani Vemparala

We study the localisation of lattice polymer models near a permeable interface in two dimensions. Localisation can arise due to an interaction between the polymer and the interface, and can be altered by a preference for the bulk solvent on…

统计力学 · 物理学 2024-07-24 C J Bradly , N R Beaton , A L Owczarek

We consider a self-avoiding walk model of polymer adsorption where the adsorbed polymer can be desorbed by the application of a force. In this paper the force is applied normal to the surface at the last vertex of the walk. We prove that…

数学物理 · 物理学 2015-06-16 E. J. Janse van Rensburg , S. G. Whittington

We consider self-avoiding lattice polygons, in the hypercubic lattice, as a model of a ring polymer adsorbed at a surface and either being desorbed by the action of a force, or pushed towards the surface. We show that, when there is no…

统计力学 · 物理学 2018-02-14 AJ Guttmann , EJ Janse van Rensburg , I Jensen , SG Whittington

In recent work [PRE 100, 022121 (2019)] evidence was found that the surface adsorption transition of interacting self-avoiding trails (ISATs) placed on the square lattice displays a non-universal behavior at the special adsorption point…

软凝聚态物质 · 物理学 2023-05-18 Nathann T. Rodrigues , Tiago J. Oliveira , Thomas Prellberg

We investigate a system of two- and three-body constrained dipolar bosons in a pair of one-dimensional optical lattices coupled to each other by the non-local dipole-dipole interactions. Assuming attractive dipole-dipole interactions, we…

量子气体 · 物理学 2017-11-08 Manpreet Singh , Suman Mondal , B. K. Sahoo , Tapan Mishra

Lattice model of directed self avoiding walk has been solved analytically to investigate adsorption desorption phase transition behaviour of a semiflexible sequential copolymer chain on a two dimensional impenetrable surface perpendicular…

统计力学 · 物理学 2010-02-23 Pramod Kumar Mishra

It has been recently argued that interacting self-avoiding walks (ISAW) of length $ \ell , $ in their low temperature phase (i.e. below the $ \Theta $-point) should have a partition function of the form: $$ Q_{\ell} \sim \mu^{ \ell}_ 0\mu^{…

凝聚态物理 · 物理学 2009-10-22 Bertrand Duplantier

An infinite hierarchy of layering transitions exists for model polymers in solution under poor solvent or low temperatures and near an attractive surface. A flat histogram stochastic growth algorithm known as FlatPERM has been used on a…

统计力学 · 物理学 2009-11-10 J. Krawczyk , A. L. Owczarek , T. Prellberg , A. Rechnitzer

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

Chiral polymers are ubiquitous in nature and in the cellular context they are often found in association with membranes. Here we show that surface bound polymers with an intrinsic twist and anisotropic bending stiffness can exhibit a sharp…

软凝聚态物质 · 物理学 2016-04-26 David A. Quint , Ajay Gopinathan , Gregory M. Grason

In a contact density chain-growth study we investigate the solubility-temperature pseudo-phase diagram of a lattice polymer in a cavity with an attractive surface. In addition to the main phases of adsorbed and desorbed conformations we…

软凝聚态物质 · 物理学 2009-11-13 Michael Bachmann , Wolfhard Janke

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 phase diagram and surface critical behaviour of the vertex-interacting self-avoiding walk are examined using transfer matrix methods extended using DMRG and coupled with finite-size scaling. Particular attention is paid to the critical…

统计力学 · 物理学 2015-06-12 Damien P. Foster , Claire Pinettes

We study the one-dimensional Bose-Hubbard model using the Density-Matrix Renormalization Group (DMRG).For the cases of on-site interactions and additional nearest-neighbor interactions the phase boundaries of the Mott-insulators and charge…

超导电性 · 物理学 2009-10-31 Till D. Kuehner , Steven R. White , H. Monien

We investigate the phase diagram of a fluid of hard-core disks confined to the surface of a sphere and whose interaction potential contains a short-range attraction followed by a long-range repulsive tail (SALR). Based on previous works in…

软凝聚态物质 · 物理学 2021-11-24 Stefano Franzini , Luciano Reatto , Davide Pini

Various interacting lattice path models of polymer collapse in two dimensions demonstrate different critical behaviours. This difference has been without a clear explanation. The collapse transition has been variously seen to be in the…

统计力学 · 物理学 2016-05-25 A Bedini , A L Owczarek , T Prellberg

We consider a model fluid with long-ranged, dispersion interparticle potentials confined between competing parallel walls. One wall is solvophilic and would be completely wet at bulk liquid-gas coexistence while the other is solvophobic and…

软凝聚态物质 · 物理学 2015-06-05 M. C. Stewart , R. Evans

Stretched polymers with attractive interaction are studied in two and three dimensions. They are described by biased self-avoiding random walks with nearest neighbour attraction. The bias corresponds to opposite forces applied to the first…

统计力学 · 物理学 2009-11-07 Peter Grassberger , Hsiao-Ping Hsu