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Stressed soft materials commonly present viscoelastic signatures in the formof power-law or exponential decay. Understanding the origins of such rheologicbehaviors is crucial to find proper technological applications. Using anelastic network model of macromolecules immersed in a viscous fluid, wenumerically reproduce those characteristic viscoelastic relaxations and showhow the microscopic interactions determine the rheologic response. We find thatexponential relaxations are indeed the most common behavior. However, powerlaws may arise when drag forces between the macromolecules and the fluid aresublinear, which is related to micro-deformations of the macromolecules.

Sublinear drag regime at mesoscopic scales in viscoelastic materials