TY - JOUR
T1 - Anomalous transport in external fields
T2 - Continuous time random walks and fractional diffusion equations extended
AU - Metzler, Ralf
AU - Klafter, Joseph
AU - Sokolov, Igor M.
PY - 1998
Y1 - 1998
N2 - The continuous time random walk (CTRW) in a homogeneous velocity field and in arbitrary force fields is studied. Within the extended CTRW scheme, anomalous transport properties due to long-tailed waiting time or jump length distributions are consistently introduced. The connections with generalised diffusion equations in a potential field are discussed, these equations being of fractional order. In particular, the problems of a constant and a Hookean (linear) force, i.e., of a linear and a parabolic potential, are worked out.
AB - The continuous time random walk (CTRW) in a homogeneous velocity field and in arbitrary force fields is studied. Within the extended CTRW scheme, anomalous transport properties due to long-tailed waiting time or jump length distributions are consistently introduced. The connections with generalised diffusion equations in a potential field are discussed, these equations being of fractional order. In particular, the problems of a constant and a Hookean (linear) force, i.e., of a linear and a parabolic potential, are worked out.
UR - http://www.scopus.com/inward/record.url?scp=0001536558&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.58.1621
DO - 10.1103/PhysRevE.58.1621
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AN - SCOPUS:0001536558
SN - 1063-651X
VL - 58
SP - 1621
EP - 1633
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 2
ER -