Classical and quantum superdiffusion in a time-dependent random potential
Leonardo GolubovićDepartment of Physics, University of California at Los Angeles, Los Angeles, California 90024Shechao FengDepartment of Physics, University of California at Los Angeles, Los Angeles, California 90024Fanan ZengDepartment of Physics, University of California at Los Angeles, Los Angeles, California 90024
1991en
ABI
Аннотация
We consider wandering of a nonrelativistic particle in a time-dependent random potential in d spatial dimensions. Its root-mean-square displacement from the initial position increases superdiffusively with time t as ${\mathit{t}}^{9/8}$ for d>1, and as ${\mathit{t}}^{6/5}$ in d=1. Its kinetic energy increases as ${\mathit{t}}^{1/2}$ for d>1, and as ${\mathit{t}}^{2/5}$ in d=1. These scaling behaviors hold for both the classical and the corresponding quantum-mechanical problem in continuous space-time and differ from those of lattice models.
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