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Polymer Adsorption

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Part of the Lecture Notes in Mathematics book series (LNMECOLE,volume 1974)

Abstract

In this chapter we study a polymer in the vicinity of a linear substrate. Each monomer on the substrate feels a binding energy, resulting in an attractive interaction between the polymer and the substrate. We will consider the two situations where the substrate is: (1) penetrable (‘pinning at an interface”), (2) impenetrable (“wetting of a surface”). Our focus will be on the free energy and on the occurrence of a phase transition between a localized phase, where the polymer stays close to the substrate, and a delocalized phase, where it wanders away from the substrate (see Fig. 7.1). The main technical tools that we will use are generating functions and the method of excursions. In Sections 7.1-7.4 we focus on directed SAW’s, in Section 7.5 on undirected SAW’s.

Keywords

  • Free Energy
  • Random Walk
  • Adsorption Energy
  • Polymer Adsorption
  • Critical Curve

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Correspondence to Frank den Hollander .

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© 2009 Springer-Verlag Berlin Heidelberg

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Hollander, F.d. (2009). Polymer Adsorption. In: Random Polymers. Lecture Notes in Mathematics(), vol 1974. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00333-2_7

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