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We consider polymers in which M randomly selected pairs of monomers are restricted to be in contact. Analytical arguments and numerical simulations show that an ideal (Gaussian) chain of N monomers remains expanded as long as M<<N; its mean…

Condensed Matter · Physics 2009-10-28 Yacov Kantor , Mehran Kardar

The equilibrium thermodynamic properties of a linear polymer chain confined to a space between two impenetrable walls (lines) at a distance $D$ under various solvent conditions have been studied using series analysis and exact enumeration…

Statistical Mechanics · Physics 2007-05-23 P. K. Mishra , Sanjay Kumar

We study phase transitions of the Potts model on the centered-triangular lattice with two types of couplings, namely $K$ between neighboring triangular sites, and $J$ between the centered and the triangular sites. Results are obtained by…

Statistical Mechanics · Physics 2020-01-22 Zhe Fu , Wenan Guo , Henk W. J. Blöte

We introduce a novel coarse-grained bead-spring model for flexible polymers to systematically examine the effects of an adjusted bonded potential on the formation and stability of structural macrostates in a thermal environment. The density…

Biological Physics · Physics 2019-02-11 Kai Qi , Benjamin Liewehr , Tomas Koci , Busara Pattanasiri , Matthew J. Williams , Michael Bachmann

We study the $k$-NN hard core lattice gas model in which the first $k$ next nearest neighbor sites of a particle are excluded from occupation by other particles on a two dimensional square lattice. This model is the lattice version of the…

Statistical Mechanics · Physics 2016-06-22 Trisha Nath , R. Rajesh

Simulating percolation and critical phenomena of labelled species inside films composed of single-component linear homogeneous macromolecules using molecular Monte Carlo method in 3 dimensions, we study dependence of these conducting…

Soft Condensed Matter · Physics 2019-09-05 Yuki Norizoe , Hiroshi Morita

The equilibrium properties of hard rod monolayers are investigated in a lattice model (where position and orientation of a rod are restricted to discrete values) as well as in an off--lattice model featuring spherocylinders with continuous…

Soft Condensed Matter · Physics 2016-09-21 M. Oettel , M. Klopotek , M. Dixit , E. Empting , T. Schilling , H. Hansen--Goos

Motivated by recent Hall-effect experiment in YbRh$_2$Si$_2$, we study ground state properties of a Kondo lattice model in a two-dimensional square lattice using variational Monte Carlo method. We show that there are two types of phase…

Strongly Correlated Electrons · Physics 2007-09-26 Hiroshi Watanabe , Masao Ogata

We use an off - lattice bead - spring model of a self - avoiding polymer chain immersed in a 3-dimensional quenched random medium to study chain dynamics by means of a Monte - Carlo (MC) simulation. The chain center of mass mean-squared…

Soft Condensed Matter · Physics 2007-05-23 A. Milchev , V. G. Rostiashvili , T. A. Vilgis

A Monte Carlo (MC) simulation method based on the Gillespie algorithm is developed for the polymerization of branched polyetherimides from two back-bone monomers [4,4'-bisphenol A dianhydride (BPADA) and m-phenylenediamine (MPD)], a chain…

Soft Condensed Matter · Physics 2023-04-05 Chengyuan Wen , Roy Odle , Shengfeng Cheng

We study a generalized interacting self-avoiding walk (ISAW) model with nearest- and next nearest-neighbor (NN and NNN) interactions on the square and cubic lattices. In both dimensions, the phase diagrams show coil and globule phases…

Soft Condensed Matter · Physics 2014-09-24 Nathann T. Rodrigues , Tiago J. Oliveira

We study a simplified two-dimensional model for a cubic-to-orthorhombic phase transition occuring in certain shape-memory-alloys. In the low temperature regime the linear theory of elasticity predicts various possible patterns of martensite…

Analysis of PDEs · Mathematics 2016-06-29 Angkana Rüland

We introduce a powerful Monte Carlo (MC) algorithm for the atomistic simulation of bulk models of oligo- and poly-thiophenes by redesigning MC moves originally developed for considerably simpler polymer structures and architectures, such as…

Soft Condensed Matter · Physics 2019-03-06 Flora D. Tsourtou , Stavros D. Peroukidis , Loukas D. Peristeras , Vlasis G. Mavrantzas

One of the most active areas of physics in the last decades has been that of critical phenomena, and Monte Carlo simulations have played an important role as a guide for the validation and prediction of system properties close to the…

Biological Physics · Physics 2007-05-23 Maria del Pilar Monsivais-Alonso

We investigate elastic, inelastic, and coalescent collisions between two-dimensional flat-top solitons supported by the cubic-quintic nonlinear Schr\"odinger equation. Numerical simulations reveal distinct collision regimes ranging from…

Pattern Formation and Solitons · Physics 2026-05-07 M. O. D. Alotaibi , Y. O. A. Abughnheim , L. Al Sakkaf , U. Al Khawaja

Scaling predictions and results from self-consistent field calculations for bottle-brush polymers with a rigid backbone and flexible side chains under good solvent conditions are summarized and their validity and applicability is assessed…

Soft Condensed Matter · Physics 2007-11-26 Hsiao-Ping Hsu , Wolfgang Paul , Kurt Binder

We investigate the phase diagram of the square lattice bilayer Hubbard model at half filling with the variational Monte Carlo method for both the magnetic and the paramagnetic case as a function of interlayer hopping t_perp and on-site…

Strongly Correlated Electrons · Physics 2014-03-11 Robert Rüger , Luca F. Tocchio , Roser Valentí , Claudius Gros

We study a model of close-packed dimers on the square lattice with a nearest neighbor interaction between parallel dimers. This model corresponds to the classical limit of quantum dimer models [D.S. Rokhsar and S.A. Kivelson, Phys. Rev.…

We examine the phase transition of polymer adsorption as well as the underlying kinetics of polymer binding from dilute solutions on a structureless solid surface. The emphasis is put on the properties of regular multiblock copolymers,…

Soft Condensed Matter · Physics 2009-09-03 A. Milchev , V. Rostiashvili , S. Bhattacharya , T. Vilgis

We generalize a recently investigated lattice model of semiflexible polymers formed under equilibrium polymerization in a solution and conduct a comprehensive investigation of its melting properties. The model is characterized by six…

Condensed Matter · Physics 2007-05-23 Sagar S. Rane , P. D. Gujrati
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