Scaling laws and the temperature blob model

In fact, experiments report that the average end-to-end distance obeys the power law 

The exponent of n changes from 1/2 to this Flory s 3/5 law at high temperatures [18]. The exponent 3/5 of the polymer dimensions is called the Flory exponent. We cannot reach this result by continuing the calculation of higher-order terms in the cluster expansion. 

The critical exponent v of the polymer dimension is found to be v = 0.60 in the high-temperature region by light scattering measurements, n = 0.55—0.57 by measurements of the diffusion coefficient, and v=0.55—0.57 by viscometry. In this section, we propose a physical picture by which we can view the statistical properties of the polymer chain 

we know that polymer chains show the properties of a Gaussian chain in the narrow region near the theta temperature where the excluded volume parameter z is sufficiently small. We have 

The polymer takes a conformation which looks like a pearl-necklace made up of blobs. 

---