Zaburdaev V, Denisov S, Klafter J (2015)
Publication Status: Published
Publication Type: Journal article
Publication year: 2015
Publisher: AMER PHYSICAL SOC
Book Volume: 87
Pages Range: 483-530
Journal Issue: 2
DOI: 10.1103/RevModPhys.87.483
Random walk is a fundamental concept with applications ranging from quantum physics to econometrics. Remarkably, one specific model of random walks appears to be ubiquitous across many fields as a tool to analyze transport phenomena in which the dispersal process is faster than dictated by Brownian diffusion. The Levy-walk model combines two key features, the ability to generate anomalously fast diffusion and a finite velocity of a random walker. Recent results in optics, Hamiltonian chaos, cold atom dynamics, biophysics, and behavioral science demonstrate that this particular type of random walk provides significant insight into complex transport phenomena. This review gives a self-consistent introduction to Levy walks, surveys their existing applications, including latest advances, and outlines further perspectives.
APA:
Zaburdaev, V., Denisov, S., & Klafter, J. (2015). Levy walks. Reviews of Modern Physics, 87(2), 483-530. https://doi.org/10.1103/RevModPhys.87.483
MLA:
Zaburdaev, Vasily, Sergey Denisov, and J. Klafter. "Levy walks." Reviews of Modern Physics 87.2 (2015): 483-530.
BibTeX: Download