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We present a new Monte Carlo algorithm for studying site or bond percolation on any lattice. The algorithm allows us to calculate quantities such as the cluster size distribution or spanning probability over the entire range of site or bond…

Statistical Mechanics · Physics 2009-10-31 M. E. J. Newman , R. M. Ziff

Continuum Monte-Carlo simulations at constant pressure are performed on short chain molecules at surfaces. The rodlike chains, consisting of seven effective monomers, are attached at one end to a flat twodimensional substrate. It is found…

Condensed Matter · Physics 2007-05-23 R. Hilfer , F. M. Haas

Obtaining reliable estimates of the statistical properties of complex macromolecules by computer simulation is a task that requires high computational effort as well as the development of highly efficient simulation algorithms. We present…

Soft Condensed Matter · Physics 2015-05-28 Hsiao-Ping Hsu , Wolfgang Paul

We present results from extensive Monte Carlo simulations of polymer models where each lattice site can be visited by up to $K$ monomers and no restriction is imposed on the number of bonds on each lattice edge. These \textit{multiple…

Soft Condensed Matter · Physics 2017-12-12 Nathann T. Rodrigues , Tiago J. Oliveira

The atom-by-atom characterization of quantum gases requires the development of novel measurement techniques. One particularly promising new technique demonstrated in recent experiments uses strong fluorescent laser scattering from neutral…

Quantum Gases · Physics 2013-05-29 Martin Shotter

We present simulation results for single a-thermal chain polymers in finite volumes. For this we use a recently proposed recursive implementation of the enrichment method. In 3 dimensions it allows the simulation of extremely long chains…

Condensed Matter · Physics 2009-10-22 Peter Grassberger , Rainer Hegger

The phase diagram of star polymer solutions in a good solvent is obtained over a wide range of densities and arm numbers by Monte Carlo simulations. The effective interaction between the stars is modeled by an ultrasoft pair potential which…

Soft Condensed Matter · Physics 2009-10-31 M. Watzlawek , C. N. Likos , H. Loewen

Herein, we describe new methods to produce colloidal particle chains of three stiffness regimes that can be observed on a single-particle level, that is, on the level of the monomers that make up the chain; the chains can even be observed…

We investigate polymers pulled away from an interacting surface, where the force is applied to the untethered endpoint and at an angle $\theta$ to the surface. We use the canonical self-avoiding walk model of polymers and obtain the phase…

Soft Condensed Matter · Physics 2026-03-03 C J Bradly , N R Beaton , A L Owczarek

We consider the efficient construction of polynomial lattice rules, which are special cases of so-called quasi-Monte Carlo (QMC) rules. These are of particular interest for the approximate computation of multivariate integrals where the…

Numerical Analysis · Mathematics 2020-08-21 Adrian Ebert , Peter Kritzer , Onyekachi Osisiogu , Tetiana Stepaniuk

Polydisperse brushes obtained by reversible radical chain polymerization reaction onto a solid substrate with surface-attached initiators, are studied by means of an off-lattice Monte Carlo algorithm of living polymers (LP). Various…

Statistical Mechanics · Physics 2009-10-31 A. Milchev , J. P. Wittmer , D. P. Landau

Self-diffusion of a polymer chain in a melt is studied by Monte Carlo simulations of the bond fluctuation model, where only the excluded volume interaction is taken into account. Polymer chains, each of which consists of $N$ segments, are…

Soft Condensed Matter · Physics 2009-11-10 Katsumi Hagita , Hiroshi Takano

My means of extensive Monte Carlo simulations the mean radius of gyration and the end-to-end distance are calculated for a single chain in a solvent over a broad range of volume fractions, pressures and temperatures. Our results indicate…

Statistical Mechanics · Physics 2007-05-23 C. Ortiz-Estrada , G. Luna-Barcenas , G. Ramirez-Santiago , I. C. Sanchez , J. F. Alvarado

We estimate the probability regarding polymerization of a macromolecule which is made of distinct monomers. The lattice model of the random walk has been used to mimic the conformations of an ideal chain in two and three dimensions. It has…

Soft Condensed Matter · Physics 2020-09-21 Pramod Kumar Mishra

We report a numerical study of self-avoiding polymers on the square lattice, including an attractive potential between nonconsecutive monomers. Using Wang-Landau sampling (WLS) with adaptive windows, we obtain the density of states for…

Statistical Mechanics · Physics 2009-11-13 A. G. Cunha-Netto , Ronald Dickman , A. A. Caparica

We consider a 3-dimensional lattice model of a network-forming fluid, which has been recently investigated by Girardi and coworkers by means of Monte Carlo simulations [J. Chem. Phys. \textbf{126}, 064503 (2007)], with the aim of describing…

Chemical Physics · Physics 2009-11-13 C. Buzano , E. De Stefanis , M. Pretti

A lattice model for a symmetrical copolymer "bottle brush" molecule, where two types (A,B) of flexible side chains are grafted with one chain end to a rigid backbone, is studied by a variant of the pruned-enriched Rosenbluth method (PERM),…

Soft Condensed Matter · Physics 2009-11-11 Hsiao-Ping Hsu , Wolfgang Paul , Kurt Binder

A square-lattice hard-core dimer model with links extending beyond nearest-neighbors is studied using a directed-loop Monte Carlo method. An arbitrarily small fraction of next-nearest-neighbor dimers is found to cause deconfinement, whereas…

Strongly Correlated Electrons · Physics 2007-05-23 Anders W. Sandvik

In polymer physics it is typically assumed that excluded volume interactions are effectively screened in polymer melts. Hence, chains could be described by an effective random walk without excluded volume interactions. In this letter, we…

Soft Condensed Matter · Physics 2017-10-31 Hendrik Meyer , Eric Horwath , Peter Virnau

Monte Carlo (MC) simulations of lattice models are a widely used way to compute thermodynamic properties of substitutional alloys. A limitation to their more widespread use is the difficulty of driving a MC simulation in order to obtain the…

Statistical Mechanics · Physics 2009-11-07 A. van de Walle , M. Asta