Polymers critical point originates Brownian non-Gaussian diffusion

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.

arXiv comment6 pages, 3 figures

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• Exact height distribution in one-dimensional Edwards-Wilkinson interface with diffusing diffusivity
• Telomeres in Lamin-A Depleted Cells Exhibit Directed Motion and Dynamic Coherence
• Beyond the Big Jump: A Perturbative Approach to Stretched-Exponential Processes
• Two-states Brownian particle in a Harmonic Potential