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Polymer topology, which plays a principal role in the rheology of polymeric fluids, and non‐equilibrium materials, which exhibit time‐varying rheological properties, are topics of intense investigation. Here, composites of circular DNA and dextran are pushed out‐of‐equilibrium via enzymatic digestion of DNA rings to linear fragments. These time‐resolved rheology measurements reveal discrete state‐switching, with composites undergoing abrupt transitions between dissipative and elastic‐like states. The gating time and lifetime of the elastic‐like states, and the magnitude and sharpness of the transitions, are surprisingly decorrelated from digestion rates and non‐monotonically depend on the DNA fraction. These results are modeled using sigmoidal two‐state functions to show that bulk state‐switching can arise from continuous molecular‐level activity due to the necessity for cooperative percolation of entanglements to support macroscopic stresses. This platform, coupling the tunability of topological composites with the power of enzymatic reactions, may be leveraged for diverse material applications from wound‐healing to self‐repairing infrastructure.

 

Polymer architecture plays critical roles in both bulk rheological properties and microscale macromolecular dynamics in entangled polymer solutions and composites. Ring polymers, in particular, have been the topic of much debate due to the inability of the celebrated reptation model to capture their observed dynamics. Macrorheology and differential dynamic microscopy (DDM) are powerful methods to determine entangled polymer dynamics across scales; yet, they typically require different samples under different conditions, preventing direct coupling of bulk rheological properties to the underlying macromolecular dynamics. Here, we perform macrorheology on composites of highly overlapping DNA and dextran polymers, focusing on the role of DNA topology (rings versus linear chains) as well as the relative volume fractions of DNA and dextran. On the same samples under the same conditions, we perform DDM and single-molecule tracking on embedded fluorescent-labeled DNA molecules immediately before and after bulk measurements. We show DNA-dextran composites exhibit unexpected nonmonotonic dependences of bulk viscoelasticity and molecular-level transport properties on the fraction of DNA comprising the composites, with characteristics that are strongly dependent on the DNA topology. We rationalize our results as arising from stretching and bundling of linear DNA versus compaction, swelling, and threading of rings driven by dextran-mediated depletion interactions.