Influence of diffusion on models for nonequilibrium wetting.
@article{Rner2006InfluenceOD, title={Influence of diffusion on models for nonequilibrium wetting.}, author={S. R{\"o}{\ss}ner and Haye Hinrichsen}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2006}, volume={74 4 Pt 1}, pages={ 041607 } }
It is shown that the critical properties of a recently studied model for nonequilibrium wetting are robust if one extends the dynamic rules by single-particle diffusion on terraces of the wetting layer. Examining the behavior at the critical point and along the phase transition line, we identify a special point in the phase diagram where detailed balance of the dynamical processes is partially broken.
6 Citations
Nonequilibrium wetting
- Physics
- 2009
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…
Dynamic wetting with two competing adsorbates.
- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2009
The dynamic properties of a model for wetting with two competing adsorbates on a planar substrate and finite systems exhibit two metastable states, each dominated by one of the species are studied.
Influence of turbulent mixing on critical behavior of directed percolation process: Effect of compressibility.
- PhysicsPhysical review. E
- 2018
This work assumes that the random environment can be described by means of compressible velocity fluctuations and calculates critical exponents of the directed percolation process, and finds intriguing nonuniversal behavior related to the mutual effect of compressibility and advection.
Non-equilibrium phase transitions with long-range interactions
- Physics
- 2007
This paper gives an overview of recent progress in the field of non-equilibrium phase transitions into absorbing states with long-range interactions. It focuses on two possible types of long-range…
Critical laminar shear-temperature effects on the nano- and mesoscale structure of a model fat and its relationship to oil binding and rheological properties.
- Materials ScienceFaraday discussions
- 2012
Crystallization under higher shear rates led to the formation of a weak network with low oil-binding capacity and promoted the asymmetric growth of nanoplatelets, called here "solid-lipid meso-particles".
Crystal Morphology of Hydrogenated Castor Oil in the Crystallization of Oil-in-Water Emulsions: Part I. Effect of Temperature
- Materials Science
- 2011
Crystallization of hydrogenated castor oil-in-water emulsions has been studied by polarized light microscopy, scanning electron microscopy, X-ray powder diffraction, and differential scanning calor...
References
SHOWING 1-10 OF 14 REFERENCES
Nonequilibrium wetting of finite samples
- Materials Science
- 2005
We study, as a canonical model for wetting far from thermal equilibrium, a Kardar–Parisi–Zhang interface growing on top of a hard-core substrate. Depending on the average growth velocity, the model…
Wetting under nonequilibrium conditions.
- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2003
A mean-field approximation is shown to reproduce the main features of the phase diagram of a recently introduced model for nonequilibrium wetting in (1+1) dimensions, while providing indications for the behavior of the wetting transition in higher dimensions.
First-order phase transition in a (1+1)-dimensional nonequilibrium wetting process
- PhysicsPhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- 2000
It is found that the wet and the nonwet states coexist and are both thermodynamically stable in a domain of the dynamical parameters that define the model, in contrast with equilibrium transitions where coexistence of thermodynamic stable states takes place only on the transition line.
Dynamic scaling of growing interfaces.
- PhysicsPhysical review letters
- 1986
A model is proposed for the evolution of the profile of a growing interface that exhibits nontrivial relaxation patterns, and the exact dynamic scaling form obtained for a one-dimensional interface is in excellent agreement with previous numerical simulations.
The surface statistics of a granular aggregate
- PhysicsProceedings of the Royal Society of London. A. Mathematical and Physical Sciences
- 1982
The problem of the surface fluctuations in a settled granular material is posed. A simple model is given which describes the process by which a particle settles and comes to rest on the existing…
Mean field theory for skewed height profiles in KPZ growth processes
- Mathematics
- 2004
We propose a mean field theory for interfaces growing according to the Kardar–Parisi–Zhang (KPZ) equation in 1 + 1 dimensions. The mean field equations are formulated in terms of densities at…
Critical behavior of a bounded Kardar-Parisi-Zhang equation
- Physics
- 2003
A host of spatially extended systems, both in physics and in other disciplines, are well described at a coarse-grained scale by a Langevin equation with multiplicative-noise. Such systems may exhibit…
Exact Scaling Functions for One-Dimensional Stationary KPZ Growth
- Mathematics, Physics
- 2004
We determine the stationary two-point correlation function of the one-dimensional KPZ equation through the scaling limit of a solvable microscopic model, the polynuclear growth model. The equivalence…
On nonlinear diffusion with multiplicative noise
- Physics
- 1998
Nonlinear diffusion is studied in the presence of multiplicative noise. The nonlinearity can be viewed as a "wall" limiting the motion of the diffusing field. A dynamic phase transition occurs when…