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We study the phase transition behavior of a frustrated Heisenberg model on a stacked triangular lattice by Monte Carlo simulations. The model has three types of interactions: the ferromagnetic nearest-neighbor interaction $J_1$ and…

Statistical Mechanics · Physics 2013-11-28 Ryo Tamura , Shu Tanaka

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…

Statistical Mechanics · Physics 2015-05-19 Pui-Man Lam , Yi Zhen

We consider a directed walk model of a homopolymer (in two dimensions) which is self-interacting and can undergo a collapse transition, subject to an applied tensile force. We review and interpret all the results already in the literature…

Statistical Mechanics · Physics 2009-11-13 R. Brak , P. Dyke , J. Lee , A. L. Owczarek , T. Prellberg , A. Rechnitzer , S. G. Whittington

Solid-solid collapse transition in open framework structures is ubiquitous in nature. The real difficulty in understanding detailed microscopic aspects of such transitions in molecular systems arises from the interplay between different…

Soft Condensed Matter · Physics 2015-06-15 Rakesh S. Singh , Biman Bagchi

We consider polymers made of magnetic monomers (Ising or Heisenberg-like) in a good solvent. These polymers are modeled as self-avoiding walks on a cubic lattice, and the ferromagnetic interaction between the spins carried by the monomers…

Statistical Mechanics · Physics 2009-10-31 T. Garel , H. Orland , E. Orlandini

The nature of the theta point for a polymer in two dimensions has long been debated, with a variety of candidates put forward for the critical exponents. This includes those derived by Duplantier and Saleur (DS) for an exactly solvable…

Statistical Mechanics · Physics 2016-05-11 Adam Nahum

We study phases and transitions of the square-lattice double dimer model, consisting of two coupled replicas of the classical dimer model. As on the cubic lattice, we find a thermal phase transition from the Coulomb phase, a disordered but…

Statistical Mechanics · Physics 2020-11-23 Neil Wilkins , Stephen Powell

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

We consider a lattice gas model which in addition to the canonical nearest neighbor pair interatomic interaction accounts for a many-body interaction inside atomic trios. Interactions of this kind arise in the coherent strained epitaxy and…

Materials Science · Physics 2007-05-23 V. I. Tokar , H. Dreyssé

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…

Statistical Mechanics · Physics 2014-06-25 M. Baiesi , E. Orlandini

We present high statistics simulations of weighted lattice bond animals and lattice trees on the square lattice, with fugacities for each non-bonded contact and for each bond between two neighbouring monomers. The simulations are performed…

Soft Condensed Matter · Physics 2009-11-11 Hsiao-Ping Hsu , Peter Grassberger

We consider a classical interacting dimer model which interpolates between the square lattice case and the triangular lattice case by tuning a chemical potential in the diagonal bonds. The interaction energy simply corresponds to the number…

Statistical Mechanics · Physics 2007-12-20 F. Trousselet , P. Pujol , F. Alet , D. Poilblanc

Two coarse-grained models for polymer chains in dense glass-forming polymer melts are studied by computer simulation: the bond-fluctuation model on a simple cubic lattice, where a bond-length potential favors long bonds, is treated by…

Soft Condensed Matter · Physics 2007-05-23 K. Binder , J. Baschnagel , C. Bennemann , W. Paul

Using exact enumeration methods and Monte Carlo simulations we study the phase diagram relative to the conformational transitions of a two dimensional diblock copolymer. The polymer is made of two homogeneous strands of monomers of…

Statistical Mechanics · Physics 2009-10-31 Marco Baiesi , Enrico Carlon , Enzo Orlandini , Attilio L. Stella

In two dimensions polymer collapse has been shown to be complex with multiple low temperature states and multi-critical points. Recently, strong numerical evidence has been provided for a long-standing prediction of universal scaling of…

Statistical Mechanics · Physics 2018-03-14 A Narros , A L Owczarek , T Prellberg

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.…

Condensed Matter · Physics 2009-10-28 Malte Henkel , Flavio Seno

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…

Statistical Mechanics · Physics 2015-06-25 H. W. J. Blöte , M. T. Batchelor , B. Nienhuis

We introduce an extension of the lattice model of melting of semiflexible polymers originally proposed by Flory. Along with a bending penalty, present in the original model and involving three sites of the lattice, we introduce an…

Soft Condensed Matter · Physics 2009-11-10 Andrea Corsi , P. D. Gujrati

The coil-globule transition of an isolated polymer has been well established to be a second-order phase transition described by a standard tricritical O(0) field theory. We provide compelling evidence from Monte Carlo simulations in four…

Statistical Mechanics · Physics 2009-10-31 A. L. Owczarek , T. Prellberg

The "melting" of self-formed rigid structures made of a small number of interacting classical particles confined in an irregular two-dimensional space is investigated using Monte Carlo simulations. It is shown that the interplay of…

Disordered Systems and Neural Networks · Physics 2013-06-13 Dyuti Bhattacharya , Amit Ghosal