Behavior of a polymer chain in a critical binary solvent

Details Behavior of a polymer chain in a critical binary solvent Behavior of a polymer chain in a critical binary solvent

1998-02-12

arxiv.org/abs/cond-mat/9802130v1

Physics

Condensed Matter

Statistical Mechanics

6 pages, accepted in Europhys. Lett

Scientific paper

10.1209/epl/i1998-00542-5

We present a field-theoretic renormalization group analysis of a polymer chain immersed in a binary good solvent close to its critical demixing point. We first show that this problem can be mapped on a bicritical field theory, i.e. a $(\Phi^{2})^{2}$-model with a mass anisotropy. This implies that the end-to-end distance of the polymer is now controlled by a new critical exponent $\nu_{B}$ related to the quadratic mass anisotropy operator $B$. To show this we solve the RG equation and calculate explicitly the exponents and the mean end-to-end length of the chain.

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