Systematic development of coarse-grained polymer models Patrick ...

3.8. Limiting Behavior 37
〈ˆztot〉m
0.06
0.05
0.04
0.03
0.02
0.01
〈ˆztot〉m
0.50
0.48
0.46
0.44
0.42
0.40
10 100
0.00
ν
10 100
ν
1000
Fig. 3.10: Comparison of the fractional extension with its high ν asymptotic expansion
for the Marko and Siggia potential with λ =1and ˆ f =0.1. The curves
correspond to the exact result ( solid line), the expansion including O(1/ν)
( dotted), and the zero-one Padé P 0 1 (1/ν) ( dashed). Inset: The analogous comparison
for ˆ f =1.25.
of a bead-spring model without performing any numerical integrations for any value of ˆ f or λ within
0 < ˆ f