The name is absent

Figure 8.1: (a) Schematic of the coarse-grained discrete Gaussian chain model with N+l
segments and N springs. The segment positions are denoted by rɑ, rɪ, ..., rjy, and the bond
vectors are denoted by bɪ, b2, ..., b_jy. (b) Schematic of the continuous Gaussian chain
model. The configurations of the polymer chain are described by the r (s), where s ∈ [0, N]
is a contour parameter.

The partition function of a single chain can be expressed as

Z₀ = / dr^w+1exp [-∕3f∕₀(r'^v+1)] ,                     (8.1)

where r'^v+1 = (r₀, rɪ, ..., r^) denotes the set of N + 1 segment positions and Uo(r^w+1)
is the potential energy associated with the particular configuration of the polymer
chain. An alternative representation is the set of N bond vectors, b^v = (bɪ, b₂, ...,
bjv), where b_i = r_i - r_i-ι.

Z₀=Vl db^N exp [—∕5l7o(b^yv)] ,
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