Anomalous diffusion and Hall effect on comb lattices.
In this paper we study the effects of a magnetic field on the discrete time random walk of a classical charged particle moving on a comb lattice. We develop an analytical technique to study the Lorentz force effects on the asymptotic diffusion laws. This approach also allows the description of the combined action of an electric and a magnetic field (Hall effect). The generalization to other comblike branched structures is discussed.
Burioni
Raffaella
R
Istituto Nazionale di Fisica della Materia-INFM, Dipartimento di Fisica, Università di Parma, Parco Area delle Scienze 7A, 43100 Parma, Italy.
Cassi
Davide
D
Giusiano
Giovanni
G
Regina
Sofia
S