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A universal coexistence curve for polymer solutions

 

作者: Isaac C. Sanchez,  

 

期刊: Journal of Applied Physics  (AIP Available online 1985)
卷期: Volume 58, issue 8  

页码: 2871-2874

 

ISSN:0021-8979

 

年代: 1985

 

DOI:10.1063/1.335859

 

出版商: AIP

 

数据来源: AIP

 

摘要:

Coexistence curves for binary polymer/solvent solutions are asymmetric when volume fraction is used as the concentration variable. Coexistence curves for polystyrene/methylcyclohexane solutions can be symmetrized by a simple transformation of variables; in the new dimensionless variable &psgr;, all of the data satisfy a universal scaling law: ‖&psgr;−&psgr;c‖=&psgr;0(&egr;N0.313)&bgr;; &egr;≡(Tc−T)/Tc, whereNis the degree of polymerization and &psgr;cand &psgr;0are constants independent ofN. The experimental value of the critical exponent &bgr; (0.327±0.002) agrees well with recent renormalization group calculations for the Ising model. The exponent onN(0.102±0.002) may be universal and should be compared with its mean‐field value of 1/4; a calculation of its nonclassical value remains a challenging theoretical problem.

 

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