Topological Dissipation as the Missing Link in Multiscale Polymer Dynamics

Abstract: We identify topological dissipation -- momentum transport along the polymer backbone with Ising-type exponential decay ($\sim \exp(-\Delta n/n_\text{d})$) -- as the missing link connecting atomistic and mesoscale dynamics. Simulations of four polymers reveal that dynamical correlation length $n_\text{d} \approx n_\text{k}/3$ (Kuhn length $n_\text{k}$), enabling a coarse-grained framework that \emph{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.