Help Privacy Policy Disclaimer
  Advanced SearchBrowse




Journal Article

Space-Time Velocity Correlation Function for Random Walks

There are no MPG-Authors in the publication available
External Resource
No external resources are shared
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)
There are no public fulltexts stored in PuRe
Supplementary Material (public)
There is no public supplementary material available

Zaburdaev, V., Denisov, S., & Haenggi, P. (2013). Space-Time Velocity Correlation Function for Random Walks. Physical Review Letters, 110(17): 170604. doi:10.1103/PhysRevLett.110.170604.

Cite as: https://hdl.handle.net/21.11116/0000-0008-619D-A
Space-time correlation functions constitute a useful instrument from the research toolkit of continuous-media and many-body physics. Here we adopt this concept for single-particle random walks and demonstrate that the corresponding space-time velocity autocorrelation functions reveal correlations which extend in time much longer than estimated with the commonly employed temporal correlation functions. A generic feature of considered random-walk processes is an effect of velocity echo identified by the existence of time-dependent regions where most of the walkers are moving in the direction opposite to their initial motion. We discuss the relevance of the space-time velocity correlation functions for the experimental studies of cold atom dynamics in an optical potential and charge transport on micro- and nanoscales. DOI: 10.1103/PhysRevLett.110.170604