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arXiv · 1806.01746

Osmotic Pressure of Confined Square Lattice Self-Avoiding Walks

F Gassoumov·EJ Janse van Rensburg
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Abstract

Flory-Huggins theory is a mean field theory for modelling the free energy of dense polymer solutions and polymer melts. In this paper we use Flory-Huggins theory as a model of a dense two dimensional self-avoiding walk confined to a square in the square lattice. The theory describes the free energy of the walk well, and we estimate the Flory interaction parameter of the walk to be $\chi_{saw} = 0.32(1)$.

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F Gassoumov, EJ Janse van Rensburg. 2018-06-05. Osmotic Pressure of Confined Square Lattice Self-Avoiding Walks. https://doi.org/10.1088/1751-8121/aaf065

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