Abstract

DNA of high molecular weight is observed to collapse into a very compact particle in a salt solution in the presence of second neutral polymers, poly(ethylene oxide) [(EO)n] of lower molecular weight, above a certain critical concentration. We show in a statistical mechanical way that the phenomenon is caused by the repulsive interaction between the DNA and (EO)n’s. A self-consistent (SC) potential is introduced to treat both intramolecular and intermolecular repulsive interactions of short-range nature. Appearance of a bound state in this SC potential is necessary and sufficient condition for a collapsed state to be stable. The critical concentration of (EO)n is found to be proportional to the inverse degree of its polymerization. The average size of a DNA is expected to change from N3/5 to N1/3 at the transition point, where N is the number of base pairs in the DNA. The transition is of second kind.

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