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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…

Soft Condensed Matter · Physics 2009-11-13 J Krawczyk , A L Owczarek , T Prellberg

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…

Statistical Mechanics · Physics 2009-11-07 Peter Grassberger , Hsiao-Ping Hsu

The nature of the phase transition for the XY stacked triangular antiferromagnet (STA) is a controversial subject at present. The field theoretical renormalization group (RG) in three dimensions predicts a first order transition. This…

Statistical Mechanics · Physics 2009-10-31 D. Loison , K. D. Schotte

We study pressurised self-avoiding ring polymers in two dimensions using Monte Carlo simulations, scaling arguments and Flory-type theories, through models which generalise the model of Leibler, Singh and Fisher [Phys. Rev. Lett. Vol. 59,…

Statistical Mechanics · Physics 2011-05-12 Mithun K. Mitra , Gautam I. Menon , R. Rajesh

The study of the effect of random impurities on the collapse of a flexible polymer in dilute solution has had recent attention with consideration of semi-stiff interacting self-avoiding walks on the square lattice. In the absence of…

Statistical Mechanics · Physics 2022-07-20 C. J. Bradly , A. L. Owczarek

Quantum phase transitions in Mott insulators do not fit easily into the Landau-Ginzburg-Wilson paradigm. A recently proposed alternative to it is the so called deconfined quantum criticality scenario, providing a new paradigm for quantum…

Strongly Correlated Electrons · Physics 2007-05-23 S. Kragset , E. Smorgrav , J. Hove , F. S. Nogueira , A. Sudbo

It is beyond the present techniques based on perturbation theory to reveal the nature of phase transitions in strongly interacting field theories. Recently, the holographic approach has provided us with an effective dual description,…

High Energy Physics - Theory · Physics 2015-03-19 Ki-Seok Kim , Kyung Kiu Kim , Youngman Kim , Yumi Ko

We study structural phase transition of polymer-grafted colloidal particles by Monte Carlo simulations on hard spherical particles. The interaction potential, which has a weak repulsive step outside the hard core, was validated with use of…

Soft Condensed Matter · Physics 2007-05-23 Yuki Norizoe , Toshihiro Kawakatsu

We use Quantum Monte Carlo method employing stochastic-series-expansion technique to study the ground state properties of the $t_2-V_1$ model on a square lattice. We find that, away from half-fillings, the minimal combination of…

Strongly Correlated Electrons · Physics 2020-02-05 Amrita Ghosh , Satyaki Kar , Sudhakar Yarlagadda

Phase separation of colloid-polymer mixtures, described by the Asakura-Oosawa (AO) model, confined in a thin slit pore is studied by grand-canonical Monte Carlo simulation. While one wall is a hard wall for both particles, at the other wall…

Soft Condensed Matter · Physics 2007-05-23 A. De Virgiliis , R. L. C. Vink , J. Horbach , K. Binder

The phase behavior of a cross-linked polymer blend made of two incompatible species, $A$ and $B$, of different chemical nature is analyzed. Besides a homogeneous phase, this system also exhibits two microphases and a phase of total…

Condensed Matter · Physics 2007-05-23 Edilson Vargas , Marcia C. Barbosa

We study a $U(1)\times U(1)$ system with two species of loops with mutual $\pi$-statistics in (2+1) dimensions. We are able to reformulate the model in a way that can be studied by Monte Carlo and we determine the phase diagram. In addition…

Statistical Mechanics · Physics 2013-05-30 Scott D. Geraedts , Olexei I. Motrunich

Large-scale Monte Carlo simulations of the bond-diluted three-dimensional 4-state Potts model are performed. The phase diagram and the physical properties at the phase transitions are studied using finite-size scaling techniques. Evidences…

Statistical Mechanics · Physics 2007-05-23 Christophe Chatelain , Bertrand Berche , Wolfhard Janke , Pierre-Emmanuel Berche

We perform large-scale numerical simulations to investigate the critical behavior of $k$-core percolation in two dimensions with an extended interaction range $r$. By systematically varying both the core index $k$ and the interaction range…

Statistical Mechanics · Physics 2026-05-26 Qiyuan Shi , Ming Li , Youjin Deng

The critical behaviour of directed self-avoiding walks is studied on parabolic-like systems with a free boundary at x=\pm Ct^\alpha. Using a scaling argument, 1/C is shown to be a marginal variable when \alpha=\nu_\perp/\nu_\parallel=1/2,…

Statistical Mechanics · Physics 2007-05-23 L. Turban

Self-avoiding walks are studied on the 3-simplex fractal lattice as a model of linear polymer conformations in a dilute, non-homogeneous solution. A model is supplemented with bending energies and attractive-interaction energies between…

Statistical Mechanics · Physics 2023-02-21 Dušanka Marčetić

We study a lattice model of interacting loops in three dimensions with a $1/r^2$ interaction. Using Monte Carlo, we find that the phase diagram contains a line of second-order phase transitions between a phase where the loops are gapped and…

Statistical Mechanics · Physics 2015-06-04 Scott D. Geraedts , Olexei I. Motrunich

Single three dimensional polymers confined to a slab, i.e. to the region between two parallel plane walls, are studied by Monte Carlo simulations. They are described by $N$-step walks on a simple cubic lattice confined to the region $1 \le…

Soft Condensed Matter · Physics 2009-11-10 Hsiao-Ping Hsu , Peter Grassberger

We consider a polymer, with monomer locations modeled by the trajectory of an underlying Markov chain, in the presence of a potential thatinteracts with the polymer when it visits a particular site 0. Disorder is introduced by having the…

Probability · Mathematics 2007-05-23 Kenneth S. Alexander

We study one- and two-dimensional models which undergo a transition between active and absorbing phases. The transition point in these models is of novel type: jump of the order parameter coincides with its power-law singularity. Some…

Statistical Mechanics · Physics 2009-10-31 A. Lipowski
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