We demonstrate that size fluctuations close to polymers critical point originate the non-Gaussian diffusion of their center of mass. Static universal exponents γ and ν -- depending on the polymer topology, on the dimension of the embedding space, and on equilibrium phase -- concur to determine the potential divergency of a dynamic response, epitomized by the center of mass kurtosis. Prospects in experiments and stochastic modeling brought about by this result are briefly outlined.
@article{arxiv.2201.00717,
title = {Polymers critical point originates Brownian non-Gaussian diffusion},
author = {Sankaran Nampoothiri and Enzo Orlandini and Flavio Seno and Fulvio Baldovin},
journal= {arXiv preprint arXiv:2201.00717},
year = {2022}
}