Topological Dissipation as the Missing Link in Multiscale Polymer Dynamics

We identify topological dissipation -- momentum transport along the polymer backbone with Ising-type exponential decay (~ exp(-Δn/nd)) -- as the missing link connecting atomistic and mesoscale dynamics. Simulations of four polymers reveal that dynamical correlation length nd ≈ nₖ/3 (Kuhn length nₖ), enabling a coarse-grained framework that explicitly separates topological (intrachain) and spatial (interchain) dissipation channels without temporal memory kernels. The approach quantitatively reproduces dynamics from segmental relaxation to chain diffusion, solving the long-standing memory preservation challenge in Markovian coarse-graining. Our results establish topology-mediated dissipation as a key mechanism for polymer dynamics.