TY - GEN
T1 - Theoretical investigation of asymmetric exclusion processes on m-input n-output junctions with random update
AU - Li, Shaoda
AU - Wang, Ruili
AU - Liu, Mingzhe
AU - Yin, Yizhang
PY - 2012
Y1 - 2012
N2 - In this paper, we investigate totally asymmetric exclusion processes (TASEPs) on lattices with an m-input n-output junction in random update. A general theoretical solution for traffic dynamics of TASEPs with a junction is developed. The model is reminiscent of biological transport and vehicular transport. When the number of m and/or n changes, the low-density and high density regions can be measured qualitatively and quantitatively. The phase diagram is obtained from a simple mean-field approximation and supported by computer simulations.
AB - In this paper, we investigate totally asymmetric exclusion processes (TASEPs) on lattices with an m-input n-output junction in random update. A general theoretical solution for traffic dynamics of TASEPs with a junction is developed. The model is reminiscent of biological transport and vehicular transport. When the number of m and/or n changes, the low-density and high density regions can be measured qualitatively and quantitatively. The phase diagram is obtained from a simple mean-field approximation and supported by computer simulations.
UR - http://www.scopus.com/inward/record.url?scp=84866890224&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84866890224
SN - 9780956715715
T3 - Proceedings of 2012 International Conference on Modelling, Identification and Control, ICMIC 2012
SP - 1266
EP - 1268
BT - Proceedings of 2012 International Conference on Modelling, Identification and Control, ICMIC 2012
T2 - 2012 International Conference on Modelling, Identification and Control, ICMIC 2012
Y2 - 24 June 2012 through 26 June 2012
ER -