scholarly journals Free energy of alternating two-component polymer brushes on cylindrical templates

2011 ◽  
Vol 135 (24) ◽  
pp. 244902 ◽  
Author(s):  
William L. Miller ◽  
Behnaz Bozorgui ◽  
Katherine Klymko ◽  
Angelo Cacciuto
Keyword(s):  
Free Energy ◽  
Polymer Brushes ◽  
Two Component

scholarly journals Minimum free-energy paths for the self-organization of polymer brushes

Soft Matter ◽  
2017 ◽  
Vol 13 (12) ◽  
pp. 2362-2370 ◽  
Author(s):  
Ignacio Gleria ◽  
Esteban Mocskos ◽  
Mario Tagliazucchi
Keyword(s):  
Free Energy ◽  
Polymer Brushes ◽  
Minimum Free Energy ◽  
The Self ◽  
Self Organization

The Quantum Excess Free Energy for Two Component Plasma

2010 ◽  
Vol 51 (6) ◽  
pp. 574-583 ◽  
Author(s):  
N. A. Hussein ◽  
D. A. E. Ibrahim
Keyword(s):  
Free Energy ◽  
Excess Free Energy ◽  
Two Component ◽  
Component Plasma

Effect of Fluctuations in the Brush Conformation on the Interaction Between Polymer Brushes in a Good Solvent

2008 ◽  
Vol 75 (5) ◽  
Author(s):  
Yan Xing Shen ◽  
Jen Fin Lin
Keyword(s):  
Free Energy ◽  
Polymer Brushes ◽  
High Surface ◽  
Current Method ◽  
Interaction Force ◽  
Height Distribution ◽  
Parallel Plates ◽  
Surface Separation ◽  
Brush Height ◽  
Interaction Free Energy

This study presents a novel approach for analyzing the interaction between two parallel surfaces grafted with polymer brushes in a good solvent. In the proposed approach, molecular dynamics simulations are performed to establish the mean brush height and the standard deviation of the brush height distribution for a given value of the surface separation. The corresponding probability density function (PDF) of the brush height is then determined and a statistical technique is applied to compute the corresponding interaction free energy per unit area of the grafted substrates. Finally, the Derjaguin approximation is employed to determine the corresponding value of the interaction force between the two surfaces. At relatively high surface grafting density as well as under low to moderate compressions of these two parallel plates, the interdigitation effect of the brushes is quite weak and is not considered in the present study. The results obtained for the interaction free energy and interaction force are compared with those derived using the Alexander and de Gennes (AdG) model [1977, “Adsorption of Chain Molecules With a Polar Head. A Scaling Approach,” J. Phys. (Paris), 38, pp. 983–989, 1985, “Films of Polymer-Solutions,” C. R. Acad. Sci., 300, pp. 839–843] and the Milner, Witten, and Cates (MWC) model [1988, “Theory of the Grafted Polymer Brush,” Macromolecules, 21, pp. 2610–2619], respectively. The value of the normalized interaction free energy computed using the present method is higher than that obtained from the AdG and MWC models at larger surface separations. However, the three sets of results are in good agreement particularly at smaller values of the surface separation. In addition, the results obtained by the current method for the interaction force are found to be in better agreement with the experimental data than those obtained using the AdG or MWC models. The enhanced performance of the proposed method is attributed primarily to the use of an adaptive non-Gaussian PDF of the brush height to model the effects of fluctuations in the brush conformation at different distances from the grafting plane.

A Multilayer Approach to the Design of Fine Dispersed Metallic two Component Materials

1995 ◽  
Vol 382 ◽  
Author(s):  
C. Eisenmenger-Sittner ◽  
R. Behr ◽  
A. Bergauer ◽  
A. Hejl ◽  
W. Bauer
Keyword(s):  
Free Energy ◽  
Large Class ◽  
Surface Free Energy ◽  
Phase Distribution ◽  
Small Particles ◽  
Theoretical Concepts ◽  
Two Component ◽  
The Common ◽  
Critical Nuclei ◽  
Deposition Techniques

ABSTRACTIn the common applications of multilayer materials a strict separation of the single layers as well as very sharply defined interlayer interfaces are highly desired. On the otherhand there exists a large class of materials which consist of small particles dispersed in a matrix with mechanically different properties.In this paper the theoretical concepts of producing this second class of materials via a multilayer deposition approach are presented. Although the focus is on the preparation ofsputter deposited immiscible metallic two component materials, the concepts presented arevalid for a greater variety of materials and deposition techniques.The phase distribution as well as the roughness evolution of a material consisting of oneisland- and one layer forming component is quantitatively described by considerations about the minimization of the surface free energy of the whole system. On the atomistic level the formation of critical nuclei on an arbitrarily shaped surface is briefly discussed and a connection to the thermodynamic minimization of the surface free energy is made.

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