Transition between chaotic and stochastic universality classes of kinetic roughening
arXiv:2009.11804 · doi:10.1103/PhysRevResearch.3.L012020
Abstract
The dynamics of non-equilibrium spatially extended systems are often dominated by fluctuations, due to e.g.\ deterministic chaos or to intrinsic stochasticity. This reflects into generic scale invariant or kinetic roughening behavior that can be classified into universality classes defined by critical exponent values and by the probability distribution function (PDF) of field fluctuations. Suitable geometrical constraints are known to change secondary features of the PDF while keeping the values of the exponents unchanged, inducing universality subclasses. Working on the Kuramoto-Sivashinsky equation as a paradigm of spatiotemporal chaos, we show that the physical nature of the prevailing fluctuations (chaotic or stochastic) can also change the universality class while respecting the exponent values, as the PDF is substantially altered. This transition takes place at a non-zero value of the stochastic noise amplitude and may be suitable for experimental verification.
arXiv comment12 pages, 9 figures, submitted
References in corpus (32)
- Statistical physics of human cooperation
- Quantum Entanglement Growth Under Random Unitary Dynamics
- Using Machine Learning to Replicate Chaotic Attractors and Calculate Lyapunov Exponents from Data
- Colloquium: Criticality and dynamical scaling in living systems
- Dynamic Scaling of Ion-Sputtered Surfaces
- Dynamical Critical Phenomena in Driven-Dissipative Systems
- A KPZ Cocktail- Shaken, not stirred: Toasting 30 years of kinetically roughened surfaces
- A pedestrian's view on interacting particle systems, KPZ universality, and random matrices
- An appetizer to modern developments on the Kardar-Parisi-Zhang universality class
- Stochastic Model for Surface Erosion Via Ion-Sputtering: Dynamical Evolution from Ripple Morphology to Rough Morphology
- Noisy Kuramoto-Sivashinsky equation for an erosion model
- Surprising mappings of 2D polar active fluids to 2D soap and 1D sandblasting
- A pseudo-spectral method for the Kardar-Parisi-Zhang equation
- Transients due to instabilities hinder Kardar-Parisi-Zhang scaling: a unified derivation for surface growth by electrochemical and chemical vapor deposition
- Extensive Chaos in the Nikolaevskii Model
- Universality and dependence on initial conditions in the class of the nonlinear molecular beam epitaxy equation
- Pseudospectral versus finite-differences schemes in the numerical integration of stochastic models of surface growth
- Interface fluctuations for deposition on enlarging flat substrates
- Renormalization-group and numerical analysis of a noisy Kuramoto-Sivashinsky equation in 1+1 dimensions
- Kardar-Parisi-Zhang Interfaces with Inward Growth
- Hydrodynamics of the Kuramoto-Sivashinsky Equation in Two Dimensions
- Unified moving boundary model with fluctuations for unstable diffusive growth
- The one-dimensional Kardar-Parisi-Zhang and Kuramoto-Sivashinsky universality class: limit distributions
- KPZ equation with short-range correlated noise: emergent symmetries and non-universal observables
- Topology and the Kardar-Parisi-Zhang universality class
- Additive noise effects in active nonlinear spatially extended systems
- Topological Defects in Anisotropic Driven Open Systems
- Geometry dependence in linear interface growth
- Kardar-Parisi-Zhang growth on one-dimensional decreasing substrates
- Circular Kardar-Parisi-Zhang interfaces evolving out of the plane
- The derivative of the Kardar-Parisi-Zhang equation is not in the KPZ universality class
- Gaussian statistics as an emergent symmetry of the stochastic Burgers equation
Cited by in corpus (7)
- Anomalous ballistic scaling in the tensionless or inviscid Kardar-Parisi-Zhang equation
- Nonequilibrium criticality driven by Kardar-Parisi-Zhang fluctuations in the synchronization of oscillator lattices
- Spreading fronts of wetting liquid droplets: microscopic simulations and universal fluctuations
- Initial perturbation matters: implications of geometry-dependent universal Kardar-Parisi-Zhang statistics for spatiotemporal chaos
- Universal interface fluctuations in the contact process
- Nonconserved critical dynamics of the two-dimensional Ising model as a surface kinetic roughening process
- Exponents and front fluctuations in the quenched Kardar-Parisi-Zhang universality class of one- and two- dimensional interfaces