Simulations of coarse-grained models
are used to study relationships
among chain motion, composition fluctuations, and stress relaxation
in unentangled melts of symmetric diblock copolymers. Measurements
of the dynamic structure factor S(q,t) are reported as a function of wavenumber q, time t, and χ
N
, where χ is the Flory–Huggins interaction
parameter and N is degree of polymerization. The
function S(q,t)
is found to be a nearly exponential function of time, S(q,t) ∝ e–t/τ(q), for wavenumbers similar
to or less than the wavenumber q* at which the static
structure factor S(q) ≡ S(q,t=0) is maximum. The
relationship between the decay time τ(q) and S(q) is used to define an effective wavenumber-dependent
diffusivity D(q) for fluctuations
of wavenumber q. The function D(q) is shown to change very little with changes in χ
N
and to be a monotonically decreasing
function of the nondimensional wavenumber qR
g, where R
g is polymer radius of
gyration. The linear shear stress relaxation modulus G(t) is inferred from measurements of the shear stress
autocorrelation function. At low values of χ
N
, far from the order–disorder transition
(ODT), the modulus G(t) agrees with
predictions of the Rouse model. Near the ODT, G(t) develops an additional slowly decaying feature arising
from slow decay of composition fluctuations with q ∼ q*. The behavior of G(t) near the ODT is predicted nearly quantitatively
by a modified version of the model of Fredrickson and Larson (FL),
in which the prediction of the FL theory for the slowly decaying component
is added to the prediction of the Rouse theory for contributions arising
from single-chain relaxation, using the independently measured behavior
of S(q,t) as an
input to the theory.