Abstract A second-order dynamic phase transition in a non-equilibrium Eggers urn model for the separation of sand is studied. The order parameter, the susceptibility and the stationary probability distribution have been calculated. By applying the Lee--Yang zeros method of equilibrium phase transitions, we study the distributions of the effective partition function zeros and obtain the same result for the model. Thus, the Lee--Yang theory can be applied to a more general non-equilibrium system.
Received: 09 April 2008
Revised: 19 May 2008
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant No 10175035), and the
Foundation for Outstanding Young Teacher of
Ministry of Education of China.
Cite this article:
Liu Xiao-Xian (刘小贤), Tong Pei-Qing (童培庆) The second-order dynamic phase transition and Lee--Yang zeros in Eggers urn model 2008 Chin. Phys. B 17 3930
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
