Abstract
We revisit the problem of local persistence in directed percolation, reporting improved estimates of the persistence exponent in 1 + 1 dimensions, discovering strong corrections to scaling in higher dimensions, and investigating the mean field limit. Moreover, we examine a graded persistence probability that a site does not flip more than m times and demonstrate how local persistence can be studied in seed simulations. Finally, the problem of spatial (as opposed to temporal) persistence is investigated.
| Original language | English |
|---|---|
| Article number | P04015 |
| Number of pages | 24 |
| Journal | Journal of statistical mechanics-Theory and experiment |
| Volume | 2008 |
| DOIs | |
| Publication status | Published - Apr 2008 |
Keywords
- critical exponents and amplitudes (theory)
- percolation problems (theory)
- persistence (theory)
- zero-temperature dynamics
- non-markovian persistence
- global persistence
- finite-temperature
- ising-models
- coarsening systems
- phase-transitions
- Potts-model
- fluctuating interfaces
- survival probability