Corrections to scaling in multicomponent polymer solutions
نویسندگان
چکیده
منابع مشابه
Corrections to scaling in multicomponent polymer solutions.
We calculate the correction-to-scaling exponent omegaT that characterizes the approach to the scaling limit in multicomponent polymer solutions. A direct Monte Carlo determination of omegaT in a system of interacting self-avoiding walks gives omegaT=0.415+/-0.020. A field-theory analysis based on five- and six-loop perturbative series leads to omegaT=0.41+/-0.04. We also verify the renormalizat...
متن کاملCorrections to scaling in two-dimensional polymer statistics.
Writing hR 2 N i = AN 2 (1 + BN ? 1 + CN ?1 + :::) for the mean square end{ to{end length hR 2 N i of a self{avoiding polymer chain of N links, we have calculated 1 for the two{dimensional continuum case from a new nite perturbation method based on the ground state of Edwards self consistent solution which predicts the (exact) = 3=4 exponent. This calculation yields 1 = 1=2. A nite size scaling...
متن کاملScaling approach to dilferential swelling of polymer solutions and gels
The failure of the classical theories for swollen polymer networks was clearly demonstrated by recent differential swelling experiments of Gee, Eichinger and McKenna. We introduce a weaker form of the additivity assumption based on the separation of the gel into "solid"-like and "liquid"-like components. Using simple scaling arguments and the
متن کامل0 O ct 1 99 5 Corrections to scaling in 2 – dimensional polymer statistics
Writing 〈R2 N 〉 = AN2ν(1 +BN−∆1 + CN−1 + ...) for the mean square end– to–end length 〈R2 N 〉 of a self–avoiding polymer chain of N links, we have calculated ∆1 for the two–dimensional continuum case from a new finite perturbation method based on the ground state of Edwards self consistent solution which predicts the (exact) ν = 3/4 exponent. This calculation yields ∆1 = 1/2. A finite size scali...
متن کاملCorrelation length and amplitude scaling in critical polymer solutions
We present a light scattering measurement of the correlation length for a series of critical solutions of polystyrene in methylcyclohexane with different molecular weights. Our results show that the correlation length j;Nne, where N is the polymerization index and e5(T2Tc)/Tc is the reduced temperature. The N exponent zn is found to be 0.1860.02, which is contrary to most earlier direct experim...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 2006
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.73.051802