# Yang-Lee zeros for an urn model for the separation of sand.

@article{Bena2003YangLeeZF, title={Yang-Lee zeros for an urn model for the separation of sand.}, author={I. Bena and F. Coppex and M. Droz and A. Lipowski}, journal={Physical review letters}, year={2003}, volume={91 16}, pages={ 160602 } }

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… CONTINUE READING

#### Topics from this paper.

21 Citations

Statistical Mechanics of Equilibrium and Nonequilibrium Phase Transitions: The Yang-Lee Formalism

- Physics
- 2005

72

Low-temperature behavior of the finite-size one-dimensional Ising model and the partition function zeros

- Physics
- 2014

6

Phase diagram of the Wako-Saitô-Muñoz-Eaton β hairpin model obtained from the partition-function zeros

- Physics
- 2014

1

Finite-size scaling and universality for the totally asymmetric simple-exclusion process.

- Medicine, Physics
- 2005

9

Lee-Yang zeros of periodic and quasiperiodic anisotropic XY chains in a transverse field.

- Physics, Medicine
- 2006

23

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 10 REFERENCES