Abstract
An asymmetric exclusion process comprising positive particles, negative particles and vacancies is introduced. The model is defined on a ring and the dynamics does not conserve the number of particles. We solve the steady state exactly and show that it can exhibit a continuous phase transition in which the density of vacancies decreases to zero. The model has no absorbing state and furnishes an example of a one-dimensional phase transition in a homogeneous non-conserving system which does not belong to the absorbing state universality classes.
| Original language | English |
|---|---|
| Article number | PII S0305-4470(02)3662-5 |
| Pages (from-to) | L433-L438 |
| Number of pages | 6 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 35 |
| Issue number | 29 |
| Publication status | Published - 26 Jul 2002 |
Keywords / Materials (for Non-textual outputs)
- SIMPLE EXCLUSION PROCESS
- TRANSLATIONAL INVARIANCE
- SPONTANEOUS BREAKING
- STATIONARY STATES
- MODEL
- SEPARATION
- RING