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DY: Fachverband Dynamik und Statistische Physik

DY 56: Poster: Glasses; Granular Matter; Brownian Motion and Anomalous Diffusion

DY 56.10: Poster

Thursday, March 19, 2020, 15:00–18:00, P1A

Superdiffusion in Kac-Zwanzig heat baths — •Paul Ledwon and Igor Sokolov — Institut für Physik, Humboldt Universität zu Berlin

We consider the Kac-Zwanzig heat bath model, an ensemble of harmonic oscillators interacting with a single distinguished particle. The model is known to allow for rigorous derivation of the generalized Langevin equation (GLE) from the underlying Hamilton dynamics in the thermodynamic limit. The memory kernel of this equation depends on the distribution of the spring constants and masses of the bath oscillators, and on their interaction strengths with the distinguished particle. Our specific focus is on the memory kernels leading to superdiffusion of the distinguished particle, in which mean squared displacement grows faster than linearly in time. We discuss restrictions on the parameters on the bath including its size necessary for effectively simulating superdiffusion, and the algorithmic implementation of the corresponding simulations.