Chain Collapse and Counterion Condensation in Dilute Polyelectrolyte Solutions

Details Chain Collapse and Counterion Condensation in Dilute Polyelectrolyte Solutions Chain Collapse and Counterion Condensation in Dilute Polyelectrolyte Solutions

1998-02-26

arxiv.org/abs/cond-mat/9802292v1

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.81.1433

A new quantitative theory for polyelectrolytes in salt free dilute solutions is developed. Depending on the electrostatic interaction strength, polyelectrolytes in solutions can undergo strong stretching (with polyelectrolyte dimension R_g\sim l_B^{1/3}N, where l_B is the Bjerrum length and N is the number of the chain segments) or strong compression (with R_g\sim l_B^{-1/2}N^{1/3}). A strong polymer collapse occurs as a first-order phase transition due to accompanying counterion condensation.

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