Nonequilibrium wetting
arXiv:0908.3068 · doi:10.1007/s10955-009-9895-x
Abstract
When a nonequilibrium growing interface in the presence of a wall is considered a nonequilibrium wetting transition may take place. This transition can be studied trough Langevin equations or discrete growth models. In the first case, the Kardar-Parisi-Zhang equation, which defines a very robust universality class for nonequilibrium moving interfaces, with a soft-wall potential is considered. While in the second, microscopic models, in the corresponding universality class, with evaporation and deposition of particles in the presence of hard-wall are studied. Equilibrium wetting is related to a particular case of the problem, it corresponds to the Edwards-Wilkinson equation with a potential in the continuum approach or to the fulfillment of detailed balance in the microscopic models. In this review we present the analytical and numerical methods used to investigate the problem and the very rich behavior that is observed with them.
Review, 36 pages, 16 figures
References in corpus (43)
- Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
- Universality classes in nonequilibrium lattice systems
- Universal Distributions for Growth Processes in 1+1 Dimensions and Random Matrices
- Exact scaling functions for one-dimensional stationary KPZ growth
- Integration of Langevin Equations with Multiplicative Noise and Viability of Field Theories for Absorbing Phase Transitions
- Statistical Self-Similarity of One-Dimensional Growth Processes
- `Real' vs `Imaginary' Noise in Diffusion-Limited Reactions
- On the Perturbation Expansion of the KPZ-Equation
- Roughening Transition in a One-Dimensional Growth Process
- Systems with Multiplicative Noise: Critical Behavior from KPZ Equation and Numerics
- Phase Structure of Systems with Multiplicative Noise
- A Model for Nonequilibrium Wetting Transitions in Two Dimensions
- On the nature of different types of absorbing states
- Non-equilibrium Phase Transitions with Long-Range Interactions
- Smooth Phases, Roughening Transitions and Novel Exponents in One-dimensional Growth Models
- On Nonlinear Diffusion with Multiplicative Noise
- Stochastic theory of synchronization transitions in extended systems
- Strong-coupling behaviour in discrete Kardar-Parisi-Zhang equations
- First order phase transition in a 1+1-dimensional nonequilibrium wetting process
- First order phase transition in a nonequilibrium growth process
- Recent results on multiplicative noise
- On the universality of the fluctuation-dissipation ratio in non-equilibrium critical dynamics
- Mean-field limit of systems with multiplicative noise
- Stationary State Skewness in KPZ Type Growth
- Directed Percolation with long-range interactions: modeling non-equilibrium wetting
- Nonequilibrium wetting transitions with short range forces
- Critical Behaviour of Non-Equilibrium Phase Transitions to Magnetically Ordered States
- Wetting under non-equilibrium conditions
- From multiplicative noise to directed percolation in wetting transitions
- Mean field theory for skewed height profiles in KPZ growth processes
- Contact processes with long-range interactions
- Stochastic theory of non-equilibrium wetting
- Nonequilibrium wetting of finite samples
- Wetting transition on a one-dimensional disorder
- Critical behavior of a bounded Kardar-Parisi-Zhang equation
- Synchronization in coupled map lattices as an interface depinning
- Mean-field approximations for the restricted solid-on-solid growth models
- Logarithmic roughening in a growth process with edge evaporation
- Influence of diffusion on models for non-equilibrium wetting
- Non-order parameter Langevin equation for a bounded Kardar-Parisi-Zhang universality class
- Critical wetting of a class of nonequilibrium interfaces: A mean-field picture
- Numerical study of a model for non-equilibrium wetting
- Critical wetting of a class of nonequilibrium interfaces: A computer simulation study