### Abstract

A simple two-dimensional (2D) model of a phase growing on a substrate is introduced. The model is characterized by an adsorption rate q, and a desorption rate p. It exhibits a wetting transition which may be viewed as an unbinding transition of an interface from a wall. For p = 1, the model may be mapped onto an exactly soluble equilibrium model exhibiting complete wetting with critical exponents gamma = 1/3 for the diverging interface width and x(0) = 1 for the zero-level occupation. For 0 < p not equal 1 a crossover to different exponents is observed which is related to a Kardar-Parisi-Zhang-type nonlinearity.

Original language | English |
---|---|

Pages (from-to) | 2710-2713 |

Number of pages | 4 |

Journal | Physical Review Letters |

Volume | 79 |

Issue number | 14 |

Publication status | Published - 6 Oct 1997 |

### Keywords

- ROUGHENING TRANSITION
- INTERFACES

### Cite this

*Physical Review Letters*,

*79*(14), 2710-2713.

**Model for nonequilibrium wetting transitions in two dimensions.** / Hinrichsen, H ; Livi, R ; Mukamel, D ; Politi, A .

Research output: Contribution to journal › Article

*Physical Review Letters*, vol. 79, no. 14, pp. 2710-2713.

}

TY - JOUR

T1 - Model for nonequilibrium wetting transitions in two dimensions

AU - Hinrichsen, H

AU - Livi, R

AU - Mukamel, D

AU - Politi, A

PY - 1997/10/6

Y1 - 1997/10/6

N2 - A simple two-dimensional (2D) model of a phase growing on a substrate is introduced. The model is characterized by an adsorption rate q, and a desorption rate p. It exhibits a wetting transition which may be viewed as an unbinding transition of an interface from a wall. For p = 1, the model may be mapped onto an exactly soluble equilibrium model exhibiting complete wetting with critical exponents gamma = 1/3 for the diverging interface width and x(0) = 1 for the zero-level occupation. For 0 < p not equal 1 a crossover to different exponents is observed which is related to a Kardar-Parisi-Zhang-type nonlinearity.

AB - A simple two-dimensional (2D) model of a phase growing on a substrate is introduced. The model is characterized by an adsorption rate q, and a desorption rate p. It exhibits a wetting transition which may be viewed as an unbinding transition of an interface from a wall. For p = 1, the model may be mapped onto an exactly soluble equilibrium model exhibiting complete wetting with critical exponents gamma = 1/3 for the diverging interface width and x(0) = 1 for the zero-level occupation. For 0 < p not equal 1 a crossover to different exponents is observed which is related to a Kardar-Parisi-Zhang-type nonlinearity.

KW - ROUGHENING TRANSITION

KW - INTERFACES

M3 - Article

VL - 79

SP - 2710

EP - 2713

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 14

ER -