Space-Time Velocity Correlation Function for Random Walks

Zaburdaev V, Denisov S, Haenggi P (2013)

Publication Status: Published

Publication Type: Journal article

Publication year: 2013

Journal

Physical Review Letters American Physical Society

Publisher: AMER PHYSICAL SOC

Book Volume: 110

Journal Issue: 17

DOI: 10.1103/PhysRevLett.110.170604

Abstract

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

Authors with CRIS profile

Vasily Zaburdaev

Additional Organisation(s)

Lehrstuhl für Mathematik in den Lebenswissenschaften

Involved external institutions

Max-Planck-Institut für Physik komplexer Systeme (MPI PKS) / Max Planck Institute for the Physics of Complex Systems DE Germany (DE) Universität Augsburg DE Germany (DE)

How to cite

APA:

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

MLA:

Zaburdaev, Vasily, Sergey Denisov, and P. Haenggi. "Space-Time Velocity Correlation Function for Random Walks." Physical Review Letters 110.17 (2013).

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