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Polymers in a Random Potential

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

Abstract

In Chapters 9-10 we studied a copolymer in the vicinity of a linear, respectively, a random selective interface between solvents. The application we had in mind was a copolymer consisting of a random concatenation of hydrophobic and hydrophilic monomers, living in a medium consisting of oil and water located in two halfspaces, respectively, in mesoscopic droplets arranged in a percolation-type fashion. In Chapter 10 it was important that the droplets were large compared to the size of the monomers, so that a coarse-graining technique w.r.t. the random environment could be put to use. In the present chapter we look at what happens when the oil and water droplets are microscopic, i.e., have the same size as the monomers.

Keywords

  • Random Walk
  • Critical Temperature
  • Random Environment
  • Moment Generate Function
  • Poisson Point Process

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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). Polymers in a Random Potential. In: Random Polymers. Lecture Notes in Mathematics(), vol 1974. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00333-2_12

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