Classical and Quantum Stability of Branched Flow

[摘要] Branched flow is a universal phenomenon of wave propagation in random media. From a classical point of view, branched flow is the overall pattern of classical electron trajectories moving in a potential with randomly placed weak scatterers. Individually, each electron trajectory is exponentially unstable to small perturbations due to the chaotic nature of the classical dynamics of electrons moving in a random potential. However, the overall pattern, branched flow, displays strong stability against large perturbations. In this paper, we discuss both the classical and quantum stability of branched flow against perturbations.

[发布机构] Department of Physics, Harvard University, Cambridge; MA; 02138, United States^1;Institute for Applied Computational Science, Harvard University, Cambridge; MA; 02138, United States^2;Center for Integrated Quantum Materials, Cambridge; MA; 02138, United States^3

[效力级别] 力学 [学科分类] 力学，机械学

[关键词] Chaotic nature;Classical dynamics;Electron trajectories;Random potentials;Small perturbations;Strong stability;Wave propagation in random media