Abstract
We calculate the spectral gap of the Markov matrix of the totally asymmetric simple exclusion process (TASEP) on a ring of L sites with N particles. Our derivation is simple and self-contained and extends a previous calculation that was valid only for half-filling. We use a special property of the Bethe equations for TASEP to reformulate them as a one-body problem. Our method is closely related to the one used to derive exact large deviation functions of the TASEP.
| Original language | English |
|---|---|
| Pages (from-to) | 1419-1425 |
| Number of pages | 7 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 38 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 18 Feb 2005 |
| Externally published | Yes |