Stretched-exponential relaxation in weakly-confined Brownian systems through large deviation theory

Understand

Stretched-exponential relaxation is a widely observed phenomenon found in ordered ferromagnets as well as glassy systems.

• One modeling approach connects this behavior to a droplet dynamics described by an effective Langevin equation for the droplet radius with a $r^{2/3}$ potential.
• Here, we study a Brownian particle under the influence of a general confining, albeit weak, potential field that grows with distance as a sub-linear power law.
• We find that for this memoryless model, observables display stretched-exponential relaxation.