Adsorption of polymer chains by disordered traps |
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| Authors: | J-U Sommer |
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| Institution: | Universit?t Freiburg, Theoretische Polymerphysik, Hermann-Herder Stra?e 3, 79104, Freiburg, Germany
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| Abstract: | We study the adsorption cross-over of ideal polymer chains in an environment of disordered traps. Starting from the assumption
of an optimal cluster size of traps (optimal fluctuation method) we derive a general scaling form of the free energy function
for arbitrary spatial dimensions. For small concentrations of traps we find a cross-over from localized (adsorbed) behavior
to delocalized behavior depending on the chain's length and on the depth of the traps; this is connected with the non-monotonic
behavior of the chain's extension. In terms of the free energy of the chain this cross-over resembles a first order transition
scenario, the chain gets localized at many traps at once.
Received 18 November 1998 |
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| Keywords: | PACS 05 40 -a Fluctuation phenomena random processes noise and Brownian motion - 36 20 -r Macromolecules and polymer molecules - 64 70 -p Specific phase transitions |
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