4,427
edits
Continuous Time Random Walk: Difference between revisions
Jump to navigation
Jump to search
→Fractional Differential Equations
| Line 37: | Line 37: | ||
== Fractional Differential Equations == | == Fractional Differential Equations == | ||
While the Master Equation corresponds to a CTRW in the limit of many particles, the | |||
Fractional Differential Equation (FDE) corresponds to a Master Equation in the ''fluid limit''. | |||
<ref>[http://link.aps.org/doi/10.1103/PhysRevE.71.011111 R. Sánchez, B.A. Carreras, and B.Ph. van Milligen, ''Fluid limit of nonintegrable continuous-time random walks in terms of fractional differential equations'', Phys. Rev. E '''71''' (2005) 011111]</ref> | <ref>[http://link.aps.org/doi/10.1103/PhysRevE.71.011111 R. Sánchez, B.A. Carreras, and B.Ph. van Milligen, ''Fluid limit of nonintegrable continuous-time random walks in terms of fractional differential equations'', Phys. Rev. E '''71''' (2005) 011111]</ref> | ||
The fluid limit is the limit of large scales and long times, i.e., ignoring fine detail. | |||
== References == | == References == | ||
<references /> | <references /> | ||