First-order transition in a particle deposition-evaporation model

Area of Science:

• Physics
• Materials Science
• Statistical Mechanics

Background:

• Stochastic growth models are crucial for understanding surface evolution.
• Nonequilibrium phase transitions are key to material properties.
• Interface dynamics in deposition-evaporation systems are complex.

Purpose of the Study:

• To introduce and analyze a simple stochastic growth model with two particle species.
• To investigate the nature of phase transitions and interface velocity.
• To explore nonequilibrium roughening transitions.

Main Methods:

• A stochastic deposition-evaporation model with two particle species.
• Analysis of interface velocity as a function of deposition rate (p).
• Identification of critical points (p(c1), p(c2), p(r)) and transition orders.

Main Results:

• Discontinuous, first-order phase transitions observed at critical rates p(c1) and p(c2).
• Interface velocity transitions from zero to constant values discontinuously at p(c1) and p(c2).
• Two nonequilibrium roughening transitions identified at p(c1) and p(r).

Conclusions:

• The model exhibits first-order nonequilibrium phase transitions linked to active/inactive phases.
• Transitions are influenced by parity conserving and directed percolation dynamics.
• The study provides insights into the mechanisms driving first-order transitions in growth models.