Comment on "Yang-Lee zeros for an urn model for the separation of sand".

نویسندگان

  • R L Greenblatt
  • J L Lebowitz
چکیده

We apply the Yang-Lee theory of phase transitions to an urn model for the separation of sand. The effective partition function of this nonequilibrium system can be expressed as a polynomial of the size-dependent effective fugacity z. Numerical calculations show that in the thermodynamic limit the zeros of the effective partition function are located on the unit circle in the complex z plane. In the complex plane of the actual control parameter, certain roots converge to the transition point of the model. Thus, the Yang-Lee theory can be applied to a wider class of nonequilibrium systems than those considered previously.

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عنوان ژورنال:
  • Physical review letters

دوره 93 23  شماره 

صفحات  -

تاریخ انتشار 2003