TY - JOUR
T1 - Some new aspects of Lévy walks and flights
T2 - Directed transport, manipulation through flights and population exchange
AU - Denisov, S.
AU - Klafter, J.
AU - Urbakh, M.
N1 - Funding Information:
Financial support from the Israel Science Foundation, the US Israel BSF, and INTAS grants is gratefully acknowledged.
PY - 2004/1/1
Y1 - 2004/1/1
N2 - Lévy flights and walks have been shown to arise in a broad spectrum of areas, leading to anomalous diffusion. Here we investigate their central role in some dynamical phenomena encountered in Hamiltonian systems with a mixed phase space. In particular we discuss, within the continuous time random walk (CTRW) framework, the possibility to obtain currents in Hamiltonian systems and how to manipulate them, and the effect of population exchange between islands of stability. The latter can be viewed as the classical counterpart of chaos-assisted tunneling.
AB - Lévy flights and walks have been shown to arise in a broad spectrum of areas, leading to anomalous diffusion. Here we investigate their central role in some dynamical phenomena encountered in Hamiltonian systems with a mixed phase space. In particular we discuss, within the continuous time random walk (CTRW) framework, the possibility to obtain currents in Hamiltonian systems and how to manipulate them, and the effect of population exchange between islands of stability. The latter can be viewed as the classical counterpart of chaos-assisted tunneling.
KW - Chaotic kinetic
KW - Driven Hamiltonian systems
KW - Lévy walks and flights
UR - http://www.scopus.com/inward/record.url?scp=0346895455&partnerID=8YFLogxK
U2 - 10.1016/j.physd.2003.09.002
DO - 10.1016/j.physd.2003.09.002
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AN - SCOPUS:0346895455
SN - 0167-2789
VL - 187
SP - 89
EP - 99
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
IS - 1-4
ER -