Ballistic random walker

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 54, Issue 1, 1996, Pages 968-971

  Molinàs Mata, Patrici ^a,b,c   Munoz M A ^a,b,c   Martínez, Daniel O ^a,b,c   Barabási, Albert László ^a,b,c  

^a IBM T J WATSON RESEARCH CENTER   (United States)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

^c UNIVERSITY OF NOTRE DAME   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 5244306900     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.54.968     Document Type: Article

References (33)

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30. We define time step as the time spent in reaching a nearest neighbor site at constant speed.
31. Omitted end note.
32. While the radius of the circle is not equal to the mean-square displacement, we expect that the two quantities scale with the same exponent, since the motion of the walker is bounded by the perimeter formed by the unvisited sites, which in the mean-field description corresponds to the circle.
33. For a review, see A.-L. Barabási and H. E. Stanley, Fractal Concepts in Surface Growth (Cambridge University Press, Cambridge, 1995); Dynamics of Fractal Surfaces, edited by F. Family and T. Vicsek (World Scientific, Singapore, 1991).