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We develop a theory describing density profile of the semi-flexible polymers absorbed onto a planar surface. The theoretical analysis consists of two parts. As a first part, we calculate a density profile of the adsorbed polymers by…

软凝聚态物质 · 物理学 2013-07-09 F. Semeriyanov , A. I. Chervanyov , G. Heinrich

A self consistent field theory for compressible polymer mixtures is developed by introducing elements of classical density functional theory into the framework of the Helfand theory. It is then applied to study free surfaces of binary (A,B)…

凝聚态物理 · 物理学 2009-10-28 F. Schmid

Self-consistent field theory (SCFT) is one of the useful methods to simulate phase separated structures of multi-component polymer systems. In this article, we propose an SCFT for semiflexible polymer melts, where the basic equations for…

软凝聚态物质 · 物理学 2025-03-04 Yutaka Oya , Toshihiro Kawakatsu

We have studied the conformational and scaling behaviors of a flexible dendrimer immersed in athermal or good solvents. A self-consistent field theory combined with a pre-averaged excluded volume potential representing the two-body…

软凝聚态物质 · 物理学 2018-08-30 Meng Shi , Yingzi Yang , Feng Qiu

A generalized self-consistent field approach for polymer networks with fixed topology is developed. It is shown that the theory reproduces the localization of crosslinks which is characteristic for gels. The theory is then used to study the…

软凝聚态物质 · 物理学 2015-06-17 Friederike Schmid

A method is formulated, based on combining self-consistent field theory with dynamically corrected transition state theory, for estimating the rates of adsorption and desorption of end-constrained chains (e.g. by crosslinks or…

软凝聚态物质 · 物理学 2015-02-23 Doros N. Theodorou , Georgios G. Vogiatzis , Georgios Kritikos

The process of adsorption on a planar repulsive, "marginal" and attractive wall of long-flexible polymer chains with excluded volume interactions is investigated. The performed scaling analysis is based on formal analogy between the polymer…

软凝聚态物质 · 物理学 2009-10-08 Z. Usatenko

A simple application of classical density functional theory is derived and applied to a system of polymers grafted to a plane. The system is assumed to have symmetry in directions parallel to the grafting plane hence it being a…

软凝聚态物质 · 物理学 2016-12-02 Luke Kristopher Davis

The close packing density of log-normal and bimodal distributed, surface-adsorbed particles or discs in 2D is studied by numerical simulation. For small spread in particle size, the system orders in a polycrystalline structure of hexagonal…

软凝聚态物质 · 物理学 2012-01-27 Robert D. Groot , Simeon D. Stoyanov

Adsorption of polymers to surfaces is crucial for understanding many fundamental processes in nature. Recent experimental studies indicate that the adsorption dynamics is dominated by non-equilibrium effects. We investigate the adsorption…

软凝聚态物质 · 物理学 2009-05-12 Debabrata Panja , Gerard T. Barkema , Anatoly B. Kolomeisky

An efficient pseudo-spectral numerical method is introduced for calculating a self-consistent field (SCF) approximation for the linear susceptibility of ordered phases in block copolymer melts (sometimes referred to as the random phase…

软凝聚态物质 · 物理学 2009-11-13 Amit Ranjan , Jian Qin , David C. Morse

Self-Consistent Field Theory is applied to a film of cylindrical-forming block copolymer subject to a surface field which tends to align the cylinders parallel to electrical plates, and to an external electric field tending to align them…

软凝聚态物质 · 物理学 2009-11-11 Chin-Yet Lin , M. Schick

We analyze the recently proposed "pattern-matching" phase of a Gaussian random heteropolymer adsorbed on a disordered substrate [S. Srebnik, A.K. Chakraborty and E.I. Shakhnovich, Phys. Rev. Lett. 77, 3157 (1996)]. By mapping the problem to…

统计力学 · 物理学 2009-10-30 T. Hwa , D. Cule

We derive the mean-field theory of disordered block-copolymers composed of two monomeric species, combining Edwards' functional method with the replica technique of disordered systems. In the absence of disorder we recover the canonical…

软凝聚态物质 · 物理学 2011-01-17 Gabriele Migliorini

We have generalized the Edwards' method of collective description of dense polymer systems in terms of effective potentials to polymer blends in the presence of a surface. With this method we have studied conformationally asymmetric…

软凝聚态物质 · 物理学 2009-11-11 Semjon Stepanow , Andrei A. Fedorenko

A theoretical model is developed for predicting dynamic polymer depletion effects under the influence of fluid flow. The results are established by combining the two-fluid model and the self-consistent field theory. We consider a uniform…

软凝聚态物质 · 物理学 2012-08-02 Takashi Taniguchi , Yuichiro Arai , Remco Tuinier , Tai-Hsi Fan

The behavior of a strongly charged polymer adsorbed on an oppositely charged surface of low-dielectric constant is formulated by the functional integral method. By separating the translational, conformational, and fluctuational degrees of…

软凝聚态物质 · 物理学 2007-05-23 Chi-Ho Cheng , Pik-Yin Lai

Solutions of semiflexible polymers confined by repulsive planar walls are studied by density functional theory and Molecular Dynamics simulations, to clarify the competition between the chain alignment favored by the wall and the depletion…

软凝聚态物质 · 物理学 2016-05-25 Sergei A. Egorov , Andrey Milchev , Peter Virnau , Kurt Binder

The self-consistent field theory is a popular and highly successful theoretical framework for studying equilibrium (co)polymer systems at the mesoscopic level. Dynamic density functionals allow one to use this framework for studying…

软凝聚态物质 · 物理学 2021-02-15 Friederike Schmid , Bing Li

Block copolymers provide a wonderful platform in studying the soft condensed matter systems. Many fascinating ordered structures have been discovered in bulk and confined systems. Among various theories, the self-consistent field theory…

软凝聚态物质 · 物理学 2019-05-01 Huayi Wei , Ming Xu , Wei Si , Kai Jiang
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