Abstract: Two-state gated trapping systems with a static trap are solved by a first-passage-time-distribution (FPTD) approach. The intrinsic microscopic rate for either state need not be zero, an important condition toward developing a theory for gated trapping problems of multiple or continuous states. A one-state trap with a slower intrinsic rate is shown to be physically equivalent to a partially open trap with a faster intrinsic rate. This result is applied to explicitly express the two-state gated FPTD in terms of their corresponding ungated FPTD. C...
(read more)
Topics: 
Statistical physics