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- W2938962534 abstract "We obtain the exact solution of the facilitated totally asymmetric simple exclusion process (F-TASEP) in 1D. The model is closely related to the conserved lattice gas (CLG) model and to some cellular automaton traffic models. In the F-TASEP a particle at site $j$ in $mathbb{Z}$ jumps, at integer times, to site $j+1$, provided site $j-1$ is occupied and site $j+1$ is empty. When started with a Bernoulli product measure at density $rho$ the system approaches a stationary state. This non-equilibrium steady state (NESS) has phase transitions at $rho=1/2$ and $rho=2/3$. The different density regimes $0<rho<1/2$, $1/2<rho<2/3$, and $2/3<rho<1$ exhibit many surprising properties; for example, the pair correlation $g(j)=langleeta(i)eta(i+j)rangle$ satisfies, for all $ninmathbb{Z}$, $sum_{j=kn+1}^{k(n+1)}g(j)=krho^2$, with $k=2$ when $0lerhole1/2$, $k=6$ when $1/2lerhole2/3$, and $k=3$ when $2/3lerhole1$. The quantity $lim_{Ltoinfty}V_L/L$, where $V_L$ is the variance in the number of particles in an interval of length L, jumps discontinuosly from $rho(1-rho)$ to 0 when $rhoto1/2$ and when $rhoto2/3$." @default.
- W2938962534 created "2019-04-25" @default.
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- W2938962534 date "2019-04-17" @default.
- W2938962534 modified "2023-09-27" @default.
- W2938962534 title "Exact Solution of the F-TASEP" @default.
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