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DY: Fachverband Dynamik und Statistische Physik
DY 26: Brownian Motion, Transport and Anomalous Diffusion
DY 26.7: Vortrag
Dienstag, 17. März 2020, 11:45–12:00, HÜL 186
Subdiffusion in the Anderson model on random regular graph — •Giuseppe De Tomasi1, Soumya Bera2, Antonello Scardicchio3, and Ivan Khaymovich4 — 1TUM Munich/Cambridge University — 2IIT Bombay — 3ICTP Trieste — 4MPIPKS Dresden
We study the finite-time dynamics of an initially localized wave-packet in the Anderson model on the random regular graph (RRG) and show the presence of a subdiffusion phase coexisting both with ergodic and putative non-ergodic phase. The full probability distribution Π(x,t) of a particle to be at some distance x from the initial state at time t, is shown to spread subdiffusively over a range of disorder strengths. The comparison of this result with the dynamics of the Anderson model on Zd lattices, d > 2, which is subdiffusive only at the critical point implies that the limit d →∞ is highly singular in terms of the dynamics. A detailed analysis of the propagation of Π(x,t) in space-time (x,t) domain identifies four different regimes determined by the position of a wave-front Xfront(t), which moves subdiffusively to the most distant sites Xfront(t)∼ tβ with an exponent β<1.