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Anomalous Diffusion and the Generalized Langevin Equation

Anomalous Diffusion and the Generalized Langevin Equation

The generalized Langevin equation (GLE) is a stochastic integro-differential equation that is commonly used to describe the velocity of microparticles that move randomly in viscoelastic fluids. Such particles commonly exhibit what is known as anomalous subdiffusion, which is to say that their position mean-squared displacement (MSD) scales sublinearly with time. …