Semantic Scholar Open Access 1996 37 sitasi

The asymmetric exclusion model with sequential update

N. Rajewsky A. Schadschneider M. Schreckenberg

Abstrak

We present a solution for the stationary state of an asymmetric exclusion model with sequential update and open boundary conditions. We solve the model exactly for random hopping in both directions by applying a matrix-product formalism which was recently used to solve the model with sublattice-parallel update (Hinrichsen H 1995 Weizmann Inst. Preprint cond-mat/9512172). It is shown that the matrix-algebra describing the sequential update and sublattice-parallel update are identical and can be mapped onto the random sequential case treated by Derrida et al (Derrida B, Evans M R, Hakim V and Pasquier V 1993 J. Phys. A: Math. Gen. 26 1493).

Penulis (3)

N

N. Rajewsky

A

A. Schadschneider

M

M. Schreckenberg

Format Sitasi

Rajewsky, N., Schadschneider, A., Schreckenberg, M. (1996). The asymmetric exclusion model with sequential update. https://doi.org/10.1088/0305-4470/29/12/004

Akses Cepat

Lihat di Sumber doi.org/10.1088/0305-4470/29/12/004
Informasi Jurnal
Tahun Terbit
1996
Bahasa
en
Total Sitasi
37×
Sumber Database
Semantic Scholar
DOI
10.1088/0305-4470/29/12/004
Akses
Open Access ✓