First-order phase transition with a logarithmic singularity in a model with absorbing states.

@article{Hinrichsen2001FirstorderPT,
  title={First-order phase transition with a logarithmic singularity in a model with absorbing states.},
  author={H. Hinrichsen},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2001},
  volume={63 1 Pt 2},
  pages={
          016109
        }
}
  • H. Hinrichsen
  • Published 2001
  • Mathematics, Physics, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
Recently, Lipowski [Phys. Rev. E 62, 4401 (2000)] investigated a stochastic lattice model which exhibits a discontinuous transition from an active phase into infinitely many absorbing states. Since the transition is accompanied by an apparent power-law singularity, it was conjectured that the model may combine features of first- and second-order phase transitions. In the present work it is shown that this singularity emerges as an artifact of the definition of the model in terms of products… Expand
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