 93113 Alan D.Sokal
 Static Scaling Behavior of HighMolecularWeight Polymers in Dilute Solution:
A Reexamination
(178K, ps)
May 8, 93

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. Previous theories of dilute polymer solutions have failed to distinguish
clearly between two very different ways of taking the longchain limit:
(I) $N \to\infty$ at fixed temperature $T$, and
(II) $N \to\infty$, $T \to T_\theta$ with $x \equiv N^\phi (TT_\theta)$ fixed.
I argue that the modern twoparameter theory (continuum Edwards model)
applies to case II  not case I 
and in fact gives exactly the crossover scaling functions for $x \ge 0$
modulo two nonuniversal scale factors.
A Wilsontype renormalization group clarifies the connection between
crossover scaling functions and continuum field theories.
[Also contains a general discussion of the connection between the Wilson
and fieldtheoretic renormalization groups. Comments solicited.]
 Files:
93113.src(
desc ,
93113.ps )