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In this work we study the one-dimensional contact process with diffusion using two different approaches to research the critical properties of this model: the supercritical series expansions and finite-size exact solutions. With special…

统计力学 · 物理学 2009-11-13 W. G. Dantas , M. J. de Oliveira , J. F. Stilck

We present improved simulations of three-dimensional self avoiding walks with one end attached to an impenetrable surface on the simple cubic lattice. This surface can either be a-thermal, having thus only an entropic effect, or attractive.…

软凝聚态物质 · 物理学 2009-11-10 Peter Grassberger

The two-dimensional cage model for polymer motion is discussed with an emphasis on the effect of sideways motions, which cross the barriers imposed by the lattice. Using the Density Matrix Method as a solver of the Master Equation, the…

统计力学 · 物理学 2009-11-11 Andrzej Drzewinski , J. M. J. van Leeuwen

We investigate the crossover behavior between special and ordinary surface transitions in three-dimensional semi-infinite Ising-like systems with random quenched bulk disorder. We calculate the surface crossover critical exponent $\Phi$,…

无序系统与神经网络 · 物理学 2009-11-10 Z. Usatenko , Chin-Kun Hu

Lattice model of directed self avoiding walk has been solved analytically to investigate adsorption desorption phase transition behaviour of a semiflexible sequential copolymer chain on a two dimensional impenetrable surface perpendicular…

统计力学 · 物理学 2010-02-23 Pramod Kumar Mishra

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…

统计力学 · 物理学 2009-11-07 Peter Grassberger , Hsiao-Ping Hsu

Polymer adsorption on fractally rough walls of varying dimensionality is studied by renormalization group methods on hierarchical lattices. Exact results are obtained for deterministic walls. The adsorption transition is found continuous…

统计力学 · 物理学 2007-05-23 G. Giugliarelli , A. L. Stella

The irreversible adsorption of polymers to a two-dimensional solid surface is studied. An operator formalism is introduced for chemisorption from a polydisperse solution of polymers which transforms the analysis of the adsorption process to…

化学物理 · 物理学 2009-11-13 Radek Erban , Jonathan Chapman

We compute the crossover exponent $\phi$ describing the crossover from the random-exchange to the random-field critical behavior in Ising systems. For this purpose, we consider the field-theoretical approach based on the replica method, and…

统计力学 · 物理学 2009-11-10 Pasquale Calabrese , Andrea Pelissetto , Ettore Vicari

Lattice model of directed self avoiding walk is used to investigate adsorption properties of a semiflexible sequential copolymer chain on an impenetrable curved surface on a hexagonal lattice in two dimensions. Walks of the copolymer chains…

统计力学 · 物理学 2010-06-02 Pramod Kumar Mishra

A finite-size scaling approach based on the transfer matrix method is developed to calculate the critical temperature and critical exponent of the symmetric and the asymmetric two-layer three-state Potts Models. For similar intralayer…

统计力学 · 物理学 2007-05-23 Tahmasb Mardani , Behrouz Mirza , Mehrdad Ghaemi

We study KPZ surfaces on Euclidean lattices and directed polymers on hierarchical lattices subject to different distributions of disorder, showing that universality holds, at odds with recent results on Euclidean lattices. Moreover, we find…

统计力学 · 物理学 2009-10-31 Paolo De Los Rios

We provide general formulae for the configurational exponents of an arbitrary polymer network connected to the surface of an arbitrary wedge of the two-dimensional plane, where the surface is allowed to assume a general mixture of boundary…

统计力学 · 物理学 2009-10-31 M. T. Batchelor , D. Bennett-Wood , A. L. Owczarek

We determine the scaling exponents of polymer translocation (PT) through a nanopore by extensive computer simulations of various microscopic models for chain lengths extending up to N=800 in some cases. We focus on the scaling of the…

Exact results for the scaling properties of compact polymers on the square lattice are obtained from an effective field theory. The entropic exponent \gamma=117/112 is calculated, and a line of fixed points associated with interacting…

统计力学 · 物理学 2009-10-31 Jane' Kondev , Jesper L. Jacobsen

We study the adsorption of flexible polymer macromolecules on a percolation cluster, formed by a regular two-dimensional disordered lattice at critical concentration p_c of attractive sites. The percolation cluster is characterized by a…

无序系统与神经网络 · 物理学 2012-03-16 Viktoria Blavatska , Wolfhard Janke

In this paper we present simulations of a surface-adsorbed polymer subject to an elongation force. The polymer is modelled by a self-avoiding walk on a regular lattice. It is confined to a half-space by an adsorbing surface with attractions…

统计力学 · 物理学 2007-05-23 J. Krawczyk , T. Prellberg , A. Rechnitzer , A. L. Owczarek

Based on transfer matrix techniques and finite size scaling, we study the oriented polymer (self-avoiding walk) with nearest neighbor interaction. In the repulsive regime, various critical exponents are computed and compared with exact…

凝聚态物理 · 物理学 2009-10-22 W. M. Koo

We consider a self-avoiding walk model of polymer adsorption where the adsorbed polymer can be desorbed by the application of a force, concentrating on the case of the square lattice. Using series analysis methods we investigate the…

统计力学 · 物理学 2015-06-17 Anthony J. Guttmann , Iwan Jensen , Stu G. Whittington

The unfolding of a polymer below the $\theta$ point when pulled by an external force is studied both in d=2 on the lattice and in $d=3$ off lattice. A ground state analysis of finite length chains shows that the globule unfolds via multiple…

统计力学 · 物理学 2009-11-07 D. Marenduzzo , A. Maritan , A. Rosa , F. Seno