TY - JOUR
T1 - Anomalous diffusion in dynamical systems
T2 - Transport coefficients of all order
AU - Wang, Xiao Jing
AU - Hu, Chin Kun
PY - 1993
Y1 - 1993
N2 - The theory of Ruelles zeta function [Thermodynamic Formalism (Addison-Wesley, Reading, MA, 1978)] is extended to describe anomalous transport induced by dynamical chaos. It is shown that P(q) for the generating function of the displacement may not exist for supradiffusive processes, and that the difficulty may be overcome by the introduction of a two-parameter function P(q). We present two exactly solvable examples of anomalous diffusion induced by intermittency, to which our method is applied.
AB - The theory of Ruelles zeta function [Thermodynamic Formalism (Addison-Wesley, Reading, MA, 1978)] is extended to describe anomalous transport induced by dynamical chaos. It is shown that P(q) for the generating function of the displacement may not exist for supradiffusive processes, and that the difficulty may be overcome by the introduction of a two-parameter function P(q). We present two exactly solvable examples of anomalous diffusion induced by intermittency, to which our method is applied.
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U2 - 10.1103/PhysRevE.48.728
DO - 10.1103/PhysRevE.48.728
M3 - Article
AN - SCOPUS:0001521307
VL - 48
SP - 728
EP - 733
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
SN - 1063-651X
IS - 2
ER -