Raúl Rechtman - Universidad Nacional Autónoma de México #
Deterministic walks on a square lattice  #
A walker moves on a two dimensional square lattice, the landscape. At every site of 
the lattice there is an obstacle that determines the walker's steps. The obstacle 
has two possible orientations, say left and right, and the walker alters the landscape 
by changing the orientation of the obstacle as he passes. There are two types of 
obstacles, mirrors, or rotors [1]. Starting with a fraction \(p\) of right obstacles 
chosen at random we show that for some values of \(p\) there can be abnormal 
diffusion.
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1 H. F. Meng, E. G. D. Cohen, Phys. Rev. E 50 2482 (1994); X. P. Kong, E. G. D.Cohen, 
J. Stat. Phys. 62 1153 (1991).