Residence time and collision statistics for exponential flights: the rod problem revisited

Details Residence time and collision statistics for exponential flights: the rod problem revisited Residence time and collision statistics for exponential flights: the rod problem revisited

2011-07-01

arxiv.org/abs/1107.0324v1

Phys. Rev. E 84, 021139 (2011)

Physics

Condensed Matter

Statistical Mechanics

9 pages, 8 figures

Scientific paper

10.1103/PhysRevE.84.021139

Many random transport phenomena, such as radiation propagation, chemical/biological species migration, or electron motion, can be described in terms of particles performing {\em exponential flights}. For such processes, we sketch a general approach (based on the Feynman-Kac formalism) that is amenable to explicit expressions for the moments of the number of collisions and the residence time that the walker spends in a given volume as a function of the particle equilibrium distribution. We then illustrate the proposed method in the case of the so-called {\em rod problem} (a 1d system), and discuss the relevance of the obtained results in the context of Monte Carlo estimators.

Affiliated with

Also associated with

No associations

Rating

Residence time and collision statistics for exponential flights: the rod problem revisited does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Residence time and collision statistics for exponential flights: the rod problem revisited, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Residence time and collision statistics for exponential flights: the rod problem revisited will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-174881