Thermodynamic Free Energy Behavior of Diblock Copolymer Chains Confined Between Planar Surfaces Having End-Tethered Flexible Polymer Molecules

2011 ◽  
Vol 51 (7) ◽  
pp. 1282-1302
Author(s):  
Sujitkumar Bontapalle ◽  
Upendra Natarajan
Keyword(s):  
Free Energy ◽  
Diblock Copolymer ◽  
Polymer Molecules ◽  
Planar Surfaces ◽  
Flexible Polymer ◽  
Energy Behavior

The Crystallization Of Flexible Polymer Molecules

1956 ◽  
Vol 56 (5) ◽  
pp. 903-958 ◽  
Author(s):  
Leo Mandelkern
Keyword(s):  
Polymer Molecules ◽  
Flexible Polymer

Interfacial Properties of Isotropic Semi-Flexible Polymer Blends

1992 ◽  
Vol 290 ◽  
Author(s):  
Andrea J. Liu ◽  
Glenn H. Fredrickson
Keyword(s):  
Free Energy ◽  
Polymer Blends ◽  
Interfacial Properties ◽  
Energy Functional ◽  
Interfacial Behavior ◽  
Binary Blends ◽  
Free Energy Functional ◽  
Flexible Polymer ◽  
Starting Point ◽  
Semi Flexible Polymer

AbstractWe analyze interfacial behavior in binary blends of polymers with different flexibilities. Our starting point is a free energy functional calculated from a microscopic model of wormlike chains. We show how this functional can be used to calculate interfacial properties within the Cahn-Hilliard approach. Here we present preliminary results applicable to chains that are globally coil-like. At the interface between two isotropic phases, each rich in a different polymer, we find that the polymers tend to be extended parallel to the interface. Thus their shape is oblate rather than spherical at the interface.

scholarly journals Fast Reaction and Micro-Brownian Motion of Flexible Polymer Molecules in Solution

1973 ◽  
Vol 4 (3) ◽  
pp. 341-349 ◽  
Author(s):  
Kazuyuki Horie ◽  
Itaru Mita ◽  
Hirotaro Kambe
Keyword(s):  
Brownian Motion ◽  
Fast Reaction ◽  
Polymer Molecules ◽  
Flexible Polymer

The theory of rubber elasticity

1976 ◽  
Vol 280 (1296) ◽  
pp. 317-353 ◽  
Keyword(s):  
Free Energy ◽  
Statistical Mechanics ◽  
General Expression ◽  
Degrees Of Freedom ◽  
Amorphous Materials ◽  
Sum Of Squares ◽  
Rubber Elasticity ◽  
Cross Link ◽  
Polymer Molecules ◽  
Gibbs Formalism

This paper attempts to improve several weaknesses in the classical theories of rubber elasticity. It develops a formulation of the statistical thermodynamics of amorphous materials analogous to the Gibbs formalism for conventional statistical mechanics. This then permits the replacement of ‘phantom chains’, i.e. long polymer molecules with the fictitious property that they experience no forces except at cross link points and are transparent to one another, by realistic molecules which do experience forces and which can become entangled. The crosslinked points are no longer assumed to deform affinely with the gross behaviour of the solid. Under the simplest conditions forms like the classical are recovered but with a different coefficient, and the term representing the degrees of freedom lost by crosslinking, over which the classical theories are in dispute, is found to lie between the previous values in a formula which can reproduce the classical results by making different assumptions. The entanglements give rise to more complicated forms than the classical sum of squares of strain ratios, which under certain circumstances can reproduce the Mooney-Rivlin term which when added empirically to the free energy usually improves the fit with experiment. The general expression is complicated, but is nevertheless an explicit function of the density of crosslinks, the density of the rubber and the interchain forces.

The Landau–de Gennes free energy expansion of a melt of V-shaped polymer molecules

2016 ◽  
Vol 145 (8) ◽  
pp. 084908 ◽  
Author(s):  
M. A. Aliev ◽  
E. A. Ugolkova ◽  
N. Yu. Kuzminyh
Keyword(s):  
Free Energy ◽  
Polymer Molecules ◽  
Energy Expansion
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