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Canonical distribution functions in polymer dynamics. (II). Liquid- crystalline polymers

Canonical distribution functions in polymer dynamics. (II). Liquid- crystalline polymers
Canonical distribution functions in polymer dynamics. (II). Liquid- crystalline polymers
The quasi-equilibrium approximation is employed as a systematic tool for solving the problem of deriving constitutive equations from kinetic models of liquid-crystalline polymers. It is demonstrated how kinetic models of liquid-crystalline polymers can be approximated in a systematic way, how canonical distribution functions can be derived from the maximum entropy principle and how constitutive equations are derived therefrom. The numerical implementation of the constitutive equations based on the intrinsic dual structure of the quasi-equilibrium manifold thus derived is developed and illustrated for a particular example. Finally, a measure of the accuracy of the quasi-equilibrium approximation is proposed that can be implemented into the numerical integration of the constitutive equation.
0378-4371
134-150
Ilg, P.
d373331e-d3b5-4831-abdc-fb1597ac1bbe
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a
Kroger, M.
407ef526-39d0-40d7-b3f2-b54ec7bad1d6
Ottinger, H.C.
d55d7165-ee2d-4878-a095-e2b6d13d1a8c
Ilg, P.
d373331e-d3b5-4831-abdc-fb1597ac1bbe
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a
Kroger, M.
407ef526-39d0-40d7-b3f2-b54ec7bad1d6
Ottinger, H.C.
d55d7165-ee2d-4878-a095-e2b6d13d1a8c

Ilg, P., Karlin, I.V., Kroger, M. and Ottinger, H.C. (2003) Canonical distribution functions in polymer dynamics. (II). Liquid- crystalline polymers. Physica A: Statistical Mechanics and its Applications, 319, 134-150. (doi:10.1016/S0378-4371(02)01393-6).

Record type: Article

Abstract

The quasi-equilibrium approximation is employed as a systematic tool for solving the problem of deriving constitutive equations from kinetic models of liquid-crystalline polymers. It is demonstrated how kinetic models of liquid-crystalline polymers can be approximated in a systematic way, how canonical distribution functions can be derived from the maximum entropy principle and how constitutive equations are derived therefrom. The numerical implementation of the constitutive equations based on the intrinsic dual structure of the quasi-equilibrium manifold thus derived is developed and illustrated for a particular example. Finally, a measure of the accuracy of the quasi-equilibrium approximation is proposed that can be implemented into the numerical integration of the constitutive equation.

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Published date: 1 March 2003

Identifiers

Local EPrints ID: 49169
URI: http://eprints.soton.ac.uk/id/eprint/49169
ISSN: 0378-4371
PURE UUID: c9d61228-4a9d-42a1-ad49-b8f18f728bdd

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Date deposited: 24 Oct 2007
Last modified: 15 Mar 2024 09:54

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Contributors

Author: P. Ilg
Author: I.V. Karlin
Author: M. Kroger
Author: H.C. Ottinger

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