Figure 3

Two independent tests to determine whether the polymers have fully equilibrated in 2 dimensions. (a) Kurtosis of the θ distribution as a function of ℓ (blue circles). θ is the angle formed by two discrete chain segments separated by a distance ℓ along the chain contour. A kurtosis equal to 3 (broken line) indicates that the polymers have fully equilibrated on the 2D (see also Figure 4). (b) Mean end-to-end distance R as a function of ℓ. For ℓ > P where P is the persistence length, a slope of 0.75 indicates full equilibration in 2D. The data displayed in (a) and (b) were collected for amyloid fibrils seeded on glass, where full equilibration in 2D is expected[9].