Polymers critical point originates Brownian non-Gaussian diffusion

TL;DR

This paper shows that near the polymers' critical point, size fluctuations cause non-Gaussian diffusion of the polymer's center of mass, with universal exponents influencing dynamic response divergence.

Contribution

It introduces a novel connection between static critical exponents and dynamic non-Gaussian diffusion in polymers at their critical point.

Findings

Size fluctuations lead to non-Gaussian diffusion near critical point.

Universal exponents determine divergence of dynamic response.

Potential for experimental and stochastic modeling applications.

Abstract

We demonstrate that size fluctuations close to polymers critical point originate the non-Gaussian diffusion of their center of mass. Static universal exponents $\gamma$ and $\nu$ -- 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.