Exact diffusion constant for one-dimensional asymmetric exclusion models

@article{Derrida1993ExactDC,
  title={Exact diffusion constant for one-dimensional asymmetric exclusion models},
  author={Bernard Derrida and Martin R Evans and David Mukamel},
  journal={Journal of Physics A},
  year={1993},
  volume={26},
  pages={4911-4918}
}
The one-dimensional fully asymmetric exclusion model, which describes a system of particles hopping in a preferred direction with hard core interactions, is considered on a ring of size N. The steady state of this system is known (all configurations have equal weight), which allows for easy computation of the average velocity of a particle in the steady state. Here an exact expression for the diffusion constant of a particle is obtained for arbitrary number of particles and system size, by… 

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