The non-equilibrium dynamics of linear and star-shaped cis-1,4 polyisoprenes confined within nanoporous alumina
is explored as a function of pore size, d, molar
mass, and functionality (f = 2, 6, and 64). Two thermal
protocols are tested: one resembling a quasi-static process (I) and
another involving fast cooling followed by annealing (II). Although
both protocols give identical equilibrium times, it is through protocol
I that it is easier to extract the equilibrium times, t
eq, by the linear relationships of the characteristic
peak frequencies with time and rate, respectively, as log(fmax) = C
1 – k log(t) and log(fmax) = C
2 + λ log(β). Both thermal protocols establish the existence
of a critical temperature (at T
c, where k → 0 and λ → 0) below which non-equilibrium
effects set-in. The critical temperature depends on the degree of
confinement, 2R
g/d, and
on molecular architecture. Strikingly, establishing equilibrium dynamics
at all temperatures above the bulk, T
g, requires 2R
g/d ∼ 0.02, i.e., pore diameters that are much larger than the
chain dimensions. This reflects non-equilibrium configurations of
the adsorbed layer that extent away from the pore walls. The equilibrium
times depend strongly on temperature, pore size, and functionality.
In general, star-shaped polymers require longer times to reach equilibrium
because of the higher tendency for adsorption. Both thermal protocols
produced an increasing dielectric strength for the segmental and chain
modes. The increase was beyond any densification, suggesting enhanced
orientation correlations of subchain dipoles.