4,422
edits
Continuous Time Random Walk: Difference between revisions
Jump to navigation
Jump to search
→The Master Equation
| Line 38: | Line 38: | ||
While the Master Equation provides a very general description of transport, it does not allow a straightforward treatment of boundary conditions as with standard differential equations (except in special cases | While the Master Equation provides a very general description of transport, it does not allow a straightforward treatment of boundary conditions as with standard differential equations (except in special cases | ||
<ref>B.Ph. van Milligen, I. Calvo, and R. Sánchez, ''Continuous time random walks in finite domains and general boundary conditions: some formal considerations'', J. Phys. A: Math. Theor. '''41''' (2008) 215004</ref>). Thus, the final (quasi) steady state of the system is a function of the balance between sources and sinks. | <ref>[http://dx.doi.org/10.1088/1751-8113/41/21/215004 B.Ph. van Milligen, I. Calvo, and R. Sánchez, ''Continuous time random walks in finite domains and general boundary conditions: some formal considerations'', J. Phys. A: Math. Theor. '''41''' (2008) 215004]</ref>). Thus, the final (quasi) steady state of the system is a function of the balance between sources and sinks. | ||
== Fractional Differential Equations == | == Fractional Differential Equations == | ||