System size expansion for systems with an absorbing state

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

5 pages, 2 figures, submitted to PRE

Scientific paper

The well known van Kampen system size expansion, while of rather general applicability, is shown to fail to reproduce some qualitative features of the time evolution for systems with an absorbing state, apart from a transient initial time interval. We generalize the van Kampen ansatz by introducing a new prescription leading to non-Gaussian fluctuations around the absorbing state. The two expansion predictions are explicitly compared for the infinite range voter model with speciation as a paradigmatic model with an absorbing state. The new expansion, both for a finite size system in the large time limit and at finite time in the large size limit, converges to to the exact solution as obtained in a numerical implementation using the Gillespie algorithm. Furthermore, the predicted lifetime distribution is shown to have the correct asymptotic behavior.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

System size expansion for systems with an absorbing state 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 System size expansion for systems with an absorbing state, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and System size expansion for systems with an absorbing state will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-27323

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.