Valence can control the nonexponential viscoelastic relaxation of multivalent reversible gels

Non-Maxwellian viscoelastic stress relaxations in soft matter

“…76 It may also be useful for modeling systems for which there is a Poisson distribution of relaxation modes, such as multivalent associative gels. 75 The main challenge with using the log-normal function is the absence of easily implementable analytical solutions for the relaxation modulus or the storage and loss moduli. Therefore, G(t) or G*(o) are usually evaluated by numerical integration of H(t) in eqn (15) using eqn ( 5) and ( 6); 145,161,162,[166][167][168] see Fig.…”

“…74 As such, a Poisson distribution of linkers in associating particle systems can lead to a significantly non-Maxwellian viscoelastic response, which can be useful for understanding the dynamics of particle-polymer systems such as latex and HEUR, metal-coordinating nanoparticle hydrogels and coordination cage hydrogels. 75 Finally, cluster dynamics can also be influenced by a distribution in cluster sizes, which we treat separately in Section IIE.…”