Distribution of Star-Branched Random-Flight Chains in Solution near a Plane Barrier

The configurational free energy of random flight polymer chains adsorbed by one end onto a plane surface as a function of the distance from a parallel plane surface is expressed to a good approximation in simple analytic form. The result is used to discuss the stabilization of a colloid suspension by adsorbed polymer. According to this theory two types of aggregation of colloid particles may occur. If LI < AS/2π 3 NkT , where l is the link length and L the contour length of a polymer chain, A is the Hamaker constant, N /S is the number of adsorbed polymer chains per unit area and kT is the Boltzman constant multiplied by temperature, the particles adhere closely, but if AS/2π 3 kT < IL < AS/nkT lg 2N a looser association is formed. It is expected that the presence of excluded volume effects would greatly increase the stability against the looser association.

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The green function for the half-plane barrier: Derivation from polymer entanglement probabilities

Physica A Statistical Mechanics and its Applications ◽

10.1016/0378-4371(83)90096-1 ◽

1983 ◽

Vol 122 (1-2) ◽

pp. 325-333 ◽

Cited By ~ 5

Author(s):

F.W. Wiegel ◽

J. Boersma

Keyword(s):

Green Function ◽

Half Plane ◽

Plane Barrier ◽

The Green Function ◽

Polymer Entanglement

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Models of disordered media: Some new results, including some new connections between composite-media, fluid-state, and random-flight theories

Lecture Notes in Mathematics - The Mathematics and Physics of Disordered Media: Percolation, Random Walk, Modeling, and Simulation ◽

10.1007/bfb0073267 ◽

1983 ◽

pp. 347-369 ◽

Cited By ~ 1

Author(s):

George Stell

Keyword(s):

Disordered Media ◽

Composite Media ◽

Fluid State ◽

Random Flight

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Shape of a Random‐Flight Chain

The Journal of Chemical Physics ◽

10.1063/1.1675527 ◽

1971 ◽

Vol 55 (1) ◽

pp. 335-344 ◽

Cited By ~ 225

Author(s):

Karel Šolc

Keyword(s):

Random Flight

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Random flight theory and the measurement of fibre length with special reference to the length of DNA

Physics Letters A ◽

10.1016/0375-9601(74)90289-8 ◽

1974 ◽

Vol 49 (5) ◽

pp. 403-404 ◽

Cited By ~ 1

Author(s):

I. Mannari ◽

H. Hidaka

Keyword(s):

Special Reference ◽

Fibre Length ◽

Random Flight

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Interaction of a Second-Order Solitary Wave With a Vertical Permeable Plane Breakwater

23rd International Conference on Offshore Mechanics and Arctic Engineering, Volume 3 ◽

10.1115/omae2004-51151 ◽

2004 ◽

Author(s):

A. Basmat

Keyword(s):

Solitary Wave ◽

Water Waves ◽

Boussinesq Equations ◽

Second Order ◽

Wave Loading ◽

Coastal Structures ◽

Transformation Techniques ◽

Incident Plane ◽

Impermeable Wall ◽

Plane Barrier

The purpose of this paper is to develop mathematical models to investigate the interaction between long non-linear water waves and dissipative/absorbing coastal structures. The diffraction of a plane second-order solitary wave at a vertical permeable plane barrier standing in front of an impermeable wall, with calculation of the second-order wave loading is investigated. An incident plane second-order solitary wave is the Laitone solution of Boussinesq equations. The analytical solution is obtained by means of a small parameter development and Fourier transformation techniques. Computational results were performed using the software MATHEMATICA version 4.0.1.0.

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