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The order-disorder layering transitions, of the Blume-Capel model, are studied using the Monte Carlo (MC) simulations, in the presence of a variable crystal field. For a very low temperature, the results are in good agreement with the…

Soft Condensed Matter · Physics 2009-11-10 L. Bahmad , A. Benyoussef , H. Ez-Zahraouy

The superconductor to insulator transition in the presence of long-range Coulomb interactions is studied using Monte Carlo techniques. At integer filling the transition is second order. At half filling we find evidence of a first order…

Condensed Matter · Physics 2009-10-28 Erik Sorensen , Eric Roddick

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…

Statistical Mechanics · Physics 2013-02-01 A. Bedini , A. L. Owczarek , T. Prellberg

We study the phase transition between the Coulomb liquid and the columnar crystal in the 3D classical dimer model, which was found to be continuous in the O(3) universality class. In addition to nearest neighbor interactions which favor…

Strongly Correlated Electrons · Physics 2011-08-12 Stefanos Papanikolaou , Joseph J. Betouras

A generalised model for interacting self-avoiding trails on the square lattice is presented and studied using numerical transfer matrix methods. The model differentiates between on-site double visits corresponding to collisions, and…

Statistical Mechanics · Physics 2015-05-30 Damien P. Foster

The nature of the globule-coil transition of surface-confined polymers has been an issue of debate. Here this 2D collapse transition is studied through a partially directed lattice model. In the general case of polymers with positive…

Soft Condensed Matter · Physics 2007-05-23 Haijun Zhou , Jie Zhou , Zhong-Can Ou-Yang , Sanjay Kumar

We perform numerical simulations of an active fully flexible self-avoiding polymer as a function of the quality of the embedding solvent described in terms of an effective monomer-monomer interaction. Specifically, by extracting the Flory…

Soft Condensed Matter · Physics 2020-10-19 S. Das , N. Kennedy , A. Cacciuto

We solve a model of self-avoiding walks with up to two monomers per site on the Bethe lattice. This model, inspired on the Domb-Joyce model, was recently proposed to describe the collapse transition observed in interacting polymers [J.…

Statistical Mechanics · Physics 2009-11-11 Pablo Serra , Juergen F. Stilck

Oriented self-avoiding walks (OSAWs) on a square lattice are studied, with binding energies between steps that are oriented parallel across a face of the lattice. By means of exact enumeration and Monte Carlo simulation, we reconstruct the…

Condensed Matter · Physics 2009-10-28 G. T. Barkema , S. Flesia

In this article, a novel cluster analysis algorithm was employed in the study of polymer coil to globule transition via single chain Monte Carlo simulations. The algorithm, which has been recently applied in Molecular Dynamics simulations…

Soft Condensed Matter · Physics 2013-11-21 T. E. Raptis , Vasilios E. Raptis

The 4D compact U(1) gauge theory has a well-established phase transition between a confining and a Coulomb phase. In this paper, we revisit this model using state-of-the-art Monte Carlo simulations on anisotropic lattices. We map out the…

High Energy Physics - Lattice · Physics 2024-04-25 Rafael C. Torres , Nuno Cardoso , Pedro Bicudo , Pedro Ribeiro , Paul McClarty

A linear polymer grafted to a hard wall and underneath an AFM tip can be modelled in a lattice as a grafted lattice polymer (or self-avoiding walk) compressed underneath a piston approaching the wall. As the piston approaches the wall the…

Soft Condensed Matter · Physics 2023-08-16 EJ Janse van Rensburg

In the framework of Husimi and Bethe lattices, we investigate a generalized polymer model that incorporates as special cases different models previously studied in the literature, namely, the standard interacting self-avoiding walk, the…

Statistical Mechanics · Physics 2016-03-23 M. Pretti

By simulating the first order globule-crystal transition of a flexible homopolymer chain, both by collision dynamics and Monte Carlo with non-kinetic moves, we show that the effective and the thermodynamic transition temperatures are…

Soft Condensed Matter · Physics 2017-08-23 S. Ruzicka , D. Quigley , M. P. Allen

We investigate neighbor-avoiding walks on the simple cubic lattice in the presence of an adsorbing surface. This class of lattice paths has been less studied using Monte Carlo simulations. Our investigation follows on from our previous…

Statistical Mechanics · Physics 2019-01-02 C. J. Bradly , A. L. Owczarek , T. Prellberg

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…

Condensed Matter · Physics 2009-10-22 Yacov Kantor , Mehran Kardar

We investigate the surface adsorption transition of interacting self-avoiding square lattice trails onto a straight boundary line. The character of this adsorption transition depends on the strength of the bulk interaction, which induces a…

Statistical Mechanics · Physics 2019-08-21 N T Rodrigues , T Prellberg , A L Owczarek

A simple model of a polymer with long rigid segments which interact via excluded volume repulsions and short ranged attractions is proposed. The coil-globule transition of this model polymer is strongly first order, the globule is…

Soft Condensed Matter · Physics 2009-10-30 Richard P. Sear

We obtain the solution of models of self-avoiding walks with attractive interactions on Husimi lattices built with squares. Two attractive interactions are considered: between monomers on first-neighbor sites and not consecutive along a…

Statistical Mechanics · Physics 2009-11-10 Pablo Serra , Juergen F. Stilck , Welchy L. Cavalcanti , Kleber D. Machado

Three-dimensional Monte Carlo simulations provide a striking confirmation to a recent theoretical prediction: the Brownian non-Gaussian diffusion of critical self-avoiding walks. Although the mean square displacement of the polymer center…

Statistical Mechanics · Physics 2022-09-21 Boris Marcone , Sankaran Nampoothiri , Enzo Orlandini , Flavio Seno , Fulvio Baldovin