TY - JOUR
T1 - Spatial particle condensation for an exclusion process on a ring
AU - Rajewsky, N.
AU - Sasamoto, T.
AU - Speer, E. R.
N1 - Funding Information:
The authors would like to thank J.L. Lebowitz for fruitful discussions and comments. NR gratefully acknowledges a postdoctoral fellowship from the Deutsche Forschungsgemeinschaft and thanks Joel Lebowitz for hospitality at the Mathematics Department of Rutgers University and for support under NSF grant DMR 95-23266, and thanks DIMACS and its supporting agencies, the NSF under contract STC-91-19999 and the NJ Commission on Science and Technology, for support. TS thanks the continuous encouragement of M. Wadati. TS is a Research Fellow of the Japan Society for the Promotion of Science.
PY - 2000/5/1
Y1 - 2000/5/1
N2 - We study the stationary state of a simple exclusion process on a ring which was recently introduced by Arndt et al. This model exhibits spatial condensation of particles. It has been argued that the model has a phase transition from a `mixed phase' to a `disordered phase'. However, in this paper exact calculations are presented which, we believe, show that in the framework of a grand canonical ensemble there is no such phase transition. An analysis of the fluctuations in the particle density strongly suggests that the same result also holds for the canonical ensemble and suggests the existence of extremely long (but finite) correlation lengths (for example 1070 sites) in the infinite system at moderate parameter values in the mixed regime.
AB - We study the stationary state of a simple exclusion process on a ring which was recently introduced by Arndt et al. This model exhibits spatial condensation of particles. It has been argued that the model has a phase transition from a `mixed phase' to a `disordered phase'. However, in this paper exact calculations are presented which, we believe, show that in the framework of a grand canonical ensemble there is no such phase transition. An analysis of the fluctuations in the particle density strongly suggests that the same result also holds for the canonical ensemble and suggests the existence of extremely long (but finite) correlation lengths (for example 1070 sites) in the infinite system at moderate parameter values in the mixed regime.
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U2 - 10.1016/S0378-4371(99)00537-3
DO - 10.1016/S0378-4371(99)00537-3
M3 - Article
AN - SCOPUS:0033746620
SN - 0378-4371
VL - 279
SP - 123
EP - 142
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 1
ER -