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A polymer subject to a force: A dire...

University of Toronto (Canada).

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A polymer subject to a force: A directed walk model.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	A polymer subject to a force: A directed walk model./
作者:	Lee, Jennifer.
面頁冊數:	90 p.
附註:	Source: Masters Abstracts International, Volume: 47-04, page: 2204.
Contained By:	Masters Abstracts International47-04.
標題:	Chemistry, Physical. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=MR44923
ISBN:	9780494449233

A polymer subject to a force: A directed walk model.
Lee, Jennifer.

A polymer subject to a force: A directed walk model. - 90 p.

Source: Masters Abstracts International, Volume: 47-04, page: 2204.

Thesis (M.Sc.)--University of Toronto (Canada), 2008.

Our intent is to derive a mathematically rigorous model to qualitatively describe the phase behaviour of a linear homopolymer in to solution subjected to a force. We review and interpret a selection of force-versus-extension curves of macromolecules in solution from the literature. Often, fitting analysis methods rely on theoretical models that are phenomenological in derivation. In our study, we consider a directed walk model of a linear homopolymer in dilute solution in the presence of an applied external force. For this case we determine an exact expression for the generating function in two variables conjugate to the number of steps and an applied external force in the preferred direction of the walk. A more complicated case is the model that has an energy associated with near-neighbour contacts subject to a force. We derive the recurrence relations using combinatorics and determine an exact expression for the generation function in three variables. The asymptotic analysis of the generating function reveals the shape of the singularity diagrams where the critical value was solved exactly and thus identifies the collapse transition of the polymer model. We demonstrate that the model is mathematically rigorous and show that the qualitative description of the polymer model at various temperatures and solvent conditions is in agreement with experimental evidence. The force-extension curve was numerically evaluated where the interacting partially directed walk model shows a second-order phase transition in the presence of an applied force.

ISBN: 9780494449233Subjects--Topical Terms:

560527
Chemistry, Physical.

A polymer subject to a force: A directed walk model.
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500 $a Source: Masters Abstracts International, Volume: 47-04, page: 2204.
502 $a Thesis (M.Sc.)--University of Toronto (Canada), 2008.
520 $a Our intent is to derive a mathematically rigorous model to qualitatively describe the phase behaviour of a linear homopolymer in to solution subjected to a force. We review and interpret a selection of force-versus-extension curves of macromolecules in solution from the literature. Often, fitting analysis methods rely on theoretical models that are phenomenological in derivation. In our study, we consider a directed walk model of a linear homopolymer in dilute solution in the presence of an applied external force. For this case we determine an exact expression for the generating function in two variables conjugate to the number of steps and an applied external force in the preferred direction of the walk. A more complicated case is the model that has an energy associated with near-neighbour contacts subject to a force. We derive the recurrence relations using combinatorics and determine an exact expression for the generation function in three variables. The asymptotic analysis of the generating function reveals the shape of the singularity diagrams where the critical value was solved exactly and thus identifies the collapse transition of the polymer model. We demonstrate that the model is mathematically rigorous and show that the qualitative description of the polymer model at various temperatures and solvent conditions is in agreement with experimental evidence. The force-extension curve was numerically evaluated where the interacting partially directed walk model shows a second-order phase transition in the presence of an applied force.
590 $a School code: 0779.
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650 4 $a Chemistry, Polymer. $3 1018428
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