Interrelation between continuous and discrete relaxation time spectra

Stress relaxation following uniaxial extension of polystyrene melt and oligomer dilutions

“…We have listed the relevant Table 1: Polystyrene molecular weights from Huang et al [1,2] Name Table 2 fitted by Rasmussen and Huang [11,17]. They used the method by Baumgaertel et al [38] and Baumgaertel and Winter [39], where the memory function is given as…”

Interchain tube pressure effect in extensional flows of oligomer diluted nearly monodisperse polystyrene melts

“…We have applied equation (5) on all presented extensional measurements. This is particularly important on the PS52k, PS103k, PS145k, PS200k and PS390k data as these preceded the appearance of equation (5). The best possible functional relation between the entanglement number and the Rouse time seems to be an equation given as…”

“…Here we will apply it on a larger number and broader range of molecular weight of NMMD polystyrene melts. Further in the determination of the linear dynamics of our samples we apply the method by Baumgaertel, Schausberg and Winter (BSW) (Baumgaertel et al 1990) [6], actually in the version introduced by Baumgaertel and Winter (1992) [5]. The memory function is…”

The Impotence of Non-Brownian Particles on the Gel Transition of Colloidal Suspensions

“…To turn G' and G" data into H(τ), a discrete relaxation spectrum, G(τ), was fit to the frequency sweep data reported in Figure 2. The Maxwell modes were then used to determine H(τ) [40]: Figure 5 shows H(τ) for samples with φ CB = 0.025, φ NMC = 0.26 and φ CB = 0.025, φ NMC = 0. The two curves with and without NMC particles have very similar negative slopes at low frequency, n = -0.2, which suggests a mixed aggregation mechanism that is closer to irreversible aggregation [39].…”