Equilibrium fluctuations for the totally asymmetric zero-range process
We consider the one-dimensional Totally Asymmetric Zero-Range process evolving on $\mathbb{Z}$ and starting from the Geometric product measure $\mu_\rho$. On the hyperbolic time scale the temporal evolution of the density fluctuation field is deterministic, in the sense that the limit field at time...
| Main Author: | |
|---|---|
| Format: | article |
| Language: | eng |
| Published: |
2010
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/1822/11586 |
| Country: | Portugal |
| Oai: | oai:repositorium.sdum.uminho.pt:1822/11586 |
| Summary: | We consider the one-dimensional Totally Asymmetric Zero-Range process evolving on $\mathbb{Z}$ and starting from the Geometric product measure $\mu_\rho$. On the hyperbolic time scale the temporal evolution of the density fluctuation field is deterministic, in the sense that the limit field at time $t$ is a translation of the initial one. We consider the system in a reference frame moving at this velocity and we show that the limit density fluctuation field does not evolve in time until $N^{4/3}$, which implies the current across a characteristic to vanish on this longer time scale. |
|---|