“School of Physics”

Back to Papers Home
Back to Papers of School of Physics

Paper   IPM / P / 7781
School of Physics
  Title:   Exact Shock Profile for the ASEP with Sublattice-Parallel Update
1.  F. Jafarpour
2.  F. E. Ghafari
3.  S.R. Masharian
  Status:   Published
  Journal: J. Phys. A
  No.:  21
  Vol.:  38
  Year:  2005
  Pages:   4579-4588
  Supported by:  IPM
We analytically study the one-dimensional Asymmetric Simple Exclusion Process (ASEP) with open boundaries under sublattice-parallel updating scheme. We investigate the stationary state properties of this model conditioned on finding a given particle number in the system. Recent numerical investigations have shown that the model possesses three different phases in this case. Using a matrix product method we calculate both exact canonical partition function and also density profiles of the particles in each phase. Application of the Yang-Lee theory reveals that the model undergoes two second-order phase transitions at critical points. These results confirm the correctness of our previous numerical studies.

Download TeX format
back to top
scroll left or right