Cita:
J. Phys. A: Math. Theor. 40, 13511 (2009) Journal of Physics A: Mathematical and Theoretical, 2009, vol. 40, n. 45, id 13511
ISSN:
1751-8113
DOI:
10.1088/1751-8113/40/45/002
Agradecimientos:
Research sponsored by DGICYT (Dirección General de Investigaciones Científicas y Tecnológicas) of Spain under Project No. ENE2004-04319. Part of this research was sponsored by the Laboratory Research and Development Program of Oak Ridge National Laboratory, managed by UT-Battelle,
LLC, for the US Department of Energy under contract number DE-AC05-00OR22725.
In this paper, the continuous time random walk on the circle is studied. We derive the corresponding generalized master equation and discuss the effects of topology, especially important when Lévy flights are allowed. Then, we work out the fluid limit equationIn this paper, the continuous time random walk on the circle is studied. We derive the corresponding generalized master equation and discuss the effects of topology, especially important when Lévy flights are allowed. Then, we work out the fluid limit equation, formulated in terms of the periodic version of the fractional Riemann–Liouville operators, for which we provide explicit expressions. Finally, we compute the propagator in some simple cases. The analysis presented herein should be relevant when investigating anomalous transport phenomena in systems with periodic dimensions.[+][-]
