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We numerically study the wetting (adsorption) transition of a polymer chain on a disordered substrate in 1+1 dimension.Following the Poland-Scheraga model of DNA denaturation, we use a Fixman-Freire scheme for the entropy of loops. This…

无序系统与神经网络 · 物理学 2007-05-23 Thomas Garel , Cecile Monthus

We present a field-theoretic renormalization group analysis of a polymer chain immersed in a binary good solvent close to its critical demixing point. We first show that this problem can be mapped on a bicritical field theory, i.e. a…

统计力学 · 物理学 2009-10-31 M. Stapper , T. A. Vilgis

Regular chains and triangular decompositions are fundamental and well-developed tools for describing the complex solutions of polynomial systems. This paper proposes adaptations of these tools focusing on solutions of the real analogue:…

符号计算 · 计算机科学 2010-05-17 Changbo Chen , James H. Davenport , John P. May , Marc Moreno Maza , Bican Xia , Rong Xiao

This study is devoted to the long-term behavior of nucleation, growth and fragmentation equations, modeling the spontaneous formation and kinetics of large polymers in a spatially homogeneous and closed environment. Such models are, for…

偏微分方程分析 · 数学 2018-11-20 Juan Calvo , Marie Doumic , Benoît Perthame

These notes are devoted to the statistical mechanics of directed polymers interacting with one-dimensional spatial defects. We are interested in particular in the situation where frozen disorder is present. These polymer models undergo a…

概率论 · 数学 2008-06-10 F. Toninelli

We use a standard bead-spring model and molecular dynamics simulations to study the static properties of symmetric linear multiblock copolymer chains and their blocks under poor solvent conditions in a dilute solution from the regime close…

软凝聚态物质 · 物理学 2012-03-05 Panagiotis E. Theodorakis , Nikolaos G. Fytas

The process of dimerization, in which two monomers bind to each other and form a dimer, is common in nature. This process can be modeled using rate equations, from which the average copy numbers of the reacting monomers and of the product…

计算物理 · 物理学 2009-10-20 Baruch Barzel , Ofer Biham

We use an off-lattice microscopic model for solutions of equilibrium polymers (EP) in a lamellar shear flow generated by means of a self-consistent external field between parallel hard walls. The individual conformations of the chains are…

软凝聚态物质 · 物理学 2009-10-31 A. Milchev , J. P. Wittmer , D. P. Landau

The lattice field theory approach to the statistical mechanics of a classical Coulomb gas [R. Coalson and A. Duncan, J. Chem. Phys. 97,5653(1992)] is generalized to include charged polymer chains. Saddle-point analysis is done on the…

凝聚态物理 · 物理学 2007-05-23 R. D. Coalson , A. Duncan , S. Tsonchev

A lumping of a Markov chain is a coordinate-wise projection of the chain. We characterise the entropy rate preservation of a lumping of an aperiodic and irreducible Markov chain on a finite state space by the random growth rate of the…

信息论 · 计算机科学 2015-04-21 Bernhard C. Geiger , Christoph Temmel

This simple note lays out a few observations which are well known in many ways but may not have been said in quite this way before. The basic idea is that when comparing two different Markov chains it is useful to couple them is such a way…

概率论 · 数学 2017-11-16 James E. Johndrow , Jonathan C. Mattingly

The slow dynamics for a colloidal suspension of particles interacting with a hard-core repulsion complemented by a short-ranged attraction is discussed within the frame of mode-coupling theory for ideal glass transitions for parameter…

软凝聚态物质 · 物理学 2007-05-23 Matthias Sperl

The behavior of mesoscopic particles dissolved in a dilute solution of long, flexible, and nonadsorbing polymer chains is studied by field-theoretic methods. For spherical and cylindrical particles the solvation free energy for immersing a…

软凝聚态物质 · 物理学 2009-10-31 A. Hanke , E. Eisenriegler , S. Dietrich

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,…

软凝聚态物质 · 物理学 2009-09-03 A. Milchev , V. Rostiashvili , S. Bhattacharya , T. Vilgis

Stress relaxation following deformation of an entangled polymeric liquid is thought to be affected by transient reforming of chain entanglements. In this work, we use single molecule techniques to study the relaxation of individual polymers…

软凝聚态物质 · 物理学 2018-07-04 Yuecheng Zhou , Charles M. Schroeder

Ring polymers are characterized by topology-specific entanglements called threadings. In the limit of large rings, it is conjectured that a "topological glass" should emerge due to the proliferation of threadings. In this study, we used…

软凝聚态物质 · 物理学 2024-11-19 Shota Goto , Takenobu Nakamura , Davide Michieletto , Kang Kim , Nobuyuki Matubayasi

The dynamics of two-dimensional fluids confined within a random matrix of obstacles is investigated using both colloidal model experiments and molecular dynamics simulations. By varying fluid and matrix area fractions in the experiment, we…

Random heteropolymers are a minimal description of biopolymers and can provide a theoretical framework to the investigate the formation of loops in biophysical experiments. A two--state model provides a consistent and robust way to study…

定量方法 · 定量生物学 2016-09-28 Y. Zhan , L. Giorgetti , G. Tiana

In this paper we establish a new efficient method for simulating polymer-solvent systems which combines a lattice Boltzmann approach for the fluid with a continuum molecular dynamics (MD) model for the polymer chain. The two parts are…

软凝聚态物质 · 物理学 2009-10-31 Patrick Ahlrichs , Burkhard Duenweg

Brownian dynamics simulations of a coarse-grained bead-spring chain model, with Debye-H\"uckel electrostatic interactions between the beads, are used to determine the root-mean-square end-to-end vector, the radius of gyration, and various…

软凝聚态物质 · 物理学 2020-07-03 W. Chamath Soysa , B. Dünweg , J. Ravi Prakash