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The structural phase behavior of polymer brushes, single-component linear homopolymers grafted onto a planar substrate, is studied using the molecular Monte Carlo method in 3 dimensions. When simulation parameters of the system are set in…

软凝聚态物质 · 物理学 2013-01-18 Y. Norizoe , H. Jinnai , A. Takahara

The stretching of brushes of long polymers grafted to a planar surface is investigated byMonte Carlo simulations in the limit of very high grafting densities, as achieved in recent experiments. The monomer density profiles are shown to…

软凝聚态物质 · 物理学 2009-11-13 Ivan Coluzza , Jean-Pierre Hansen

We have studied the percolation behaviour of deposits for different (2+1)-dimensional models of surface layer formation. The mixed model of deposition was used, where particles were deposited selectively according to the random (RD) and…

软凝聚态物质 · 物理学 2009-11-07 N. I. Lebovka , S. S. Manna , S. Tarafdar , N. Teslenko

A comparative simulation study of polymer brushes formed by grafting at a planar surface either flexible linear polymers (chain length $N_L$) or (non-catenated) ring polymers (chain length $N_R=2 N_L$) is presented. Two distinct off-lattice…

软凝聚态物质 · 物理学 2015-05-28 Daniel Reith , Andrey Milchev , Peter Virnau , Kurt Binder

Single two dimensional polymers confined to a strip are studied by Monte Carlo simulations. They are described by N-step self-avoiding random walks on a square lattice between two parallel hard walls with distance 1 << D << N^\nu (\nu = 3/4…

软凝聚态物质 · 物理学 2007-05-23 Hsiao-Ping Hsu , Peter Grassberger

We study the percolative properties of bi-dimensional systems generated by a random sequential adsorption of line-segments on a square lattice. As the segment length grows, the percolation threshold decreases, goes through a minimum and…

凝聚态物理 · 物理学 2009-10-22 Y. Leroyer , E. Pommiers

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…

软凝聚态物质 · 物理学 2019-09-05 Yuki Norizoe , Hiroshi Morita

In this paper the percolation of monomers on a square lattice is studied as the particles interact with either repulsive or attractive energies. By means of a finite-size scaling analysis, the critical exponents and the scaling collapsing…

统计力学 · 物理学 2009-11-13 M. Cecilia Gimenez , Felix Nieto , Antonio J. Ramirez-Pastor

Polymer brushes normally swell in a good solvent and collapse in a poor solvent. An abnormal response of polymer brushes, so-called co-nonsolvency, is the phenomenon where the brush counter-intuitively collapses in a good solvent mixture.…

软凝聚态物质 · 物理学 2019-08-26 Gyehyun Park , YounJoon Jung

Large scale Monte Carlo simulations of dense layers of grafted polymer chains in good solvent conditions are used to explore the relaxation of a polymer brush. Monomer displacements are analyzed for the directions parallel and perpendicular…

软凝聚态物质 · 物理学 2021-04-13 Michael Lang , Marco Werner , Ron Dockhorn , Torsten Kreer

Bootstrap percolation on a graph is a deterministic process that iteratively enlarges a set of occupied sites by adjoining points with at least $\theta$ occupied neighbors. The initially occupied set is random, given by a uniform product…

概率论 · 数学 2018-07-30 Janko Gravner , David Sivakoff

In this paper, site percolation on random $\Phi^{3}$ planar graphs is studied by Monte-Carlo numerical techniques. The method consists in randomly removing a fraction $q=1-p$ of vertices from graphs generated by Monte-Carlo simulations,…

统计力学 · 物理学 2008-11-26 J. -P. Kownacki

Percolation on a plane is usually associated with clusters spanning two opposite sides of a rectangular system. Here we investigate three-leg clusters generated on a square lattice and spanning the three sides of equilateral triangles. If…

统计力学 · 物理学 2022-04-15 Zbigniew Koza

We present a study on connectivity percolation in suspensions of hard platelets by means of Monte Carlo simulation. We interpret our results using a contact-volume argument based on an effective single--particle cell model. It is commonly…

软凝聚态物质 · 物理学 2015-06-04 Maneesh Mathew , Tanja Schilling , Martin Oettel

We study the geometry of the critical clusters in fully coordinated percolation on the square lattice. By Monte Carlo simulations (static exponents) and normal mode analysis (dynamic exponents), we find that this problem is in the same…

统计力学 · 物理学 2009-10-31 Eduardo Cuansing , Jae Hwa Kim , Hisao Nakanishi

We study the percolation properties for a system of functionalized colloids on patterned substrates via Monte Carlo simulations. The colloidal particles are modeled as hard disks with three equally-distributed attractive patches on their…

软凝聚态物质 · 物理学 2018-03-02 Lucas L. Treffenstädt , Nuno A. M. Araújo , Daniel de las Heras

We present a Monte Carlo study of the surface anchoring of a nematic fluid on swollen layers of grafted liquid crystalline chain molecules. The liquid crystalline particles are modeled by soft repulsive ellipsoids, and the chains are made…

材料科学 · 物理学 2009-11-07 Harald Lange , Friederike Schmid

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…

统计力学 · 物理学 2009-10-31 A. Milchev , J. P. Wittmer , D. P. Landau

We explore the effect of an attractive interaction between parallel-aligned polymers, which are perpendicularly grafted on a substrate. Such an attractive interaction could be due to, e.g., reversible cross-links. The competition between…

软凝聚态物质 · 物理学 2013-10-08 Panayotis Benetatos , Eugene M. Terentjev , Annette Zippelius

We use a large cell Monte Carlo Renormalization procedure, to compute the critical exponents of a system of growing linear polymers. We simulate the growth of non-intersecting chains in large MC cells. Dense regions where chains get in each…

统计力学 · 物理学 2009-11-07 Duygu Balcan , Ayse Erzan
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