Kinetic roughening, global quantities, and fluctuation-dissipation relations
arXiv:1112.5867 · doi:10.1016/j.physa.2012.02.022
Abstract
Growth processes and interface fluctuations can be studied through the properties of global quantities. We here discuss a global quantity that not only captures better the roughness of an interface than the widely studied surface width, but that is also directly conjugate to an experimentally accessible parameter, thereby allowing us to study in a consistent way the global response of the system to a global change of external conditions. Exploiting the full analyticity of the linear Edwards-Wilkinson and Mullins-Herring equations, we study in detail various two-time functions related to that quantity. This quantity fulfills the fluctuation-dissipation theorem when considering steady-state equilibrium fluctuations.
13 pages, 5 figures
References in corpus (6)
- Symmetry based determination of space-time functions in nonequilibrium growth processes
- Slow relaxation and aging kinetics for the driven lattice gas
- Sampling Time Effects for Persistence and Survival in Step Structural Fluctuations
- Changing growth conditions during surface growth
- Aging dynamics of non-linear elastic interfaces: the Kardar-Parisi-Zhang equation
- Scaling and universality in the kinetic smoothening of interfaces: Application to the analysis of the relaxation of rough vicinal steps of an oxide surface
Cited by in corpus (5)
- Field-Theoretic Thermodynamic Uncertainty Relation -- General formulation exemplified with the Kardar-Parisi-Zhang equation
- Spherical model of growing interfaces
- Dynamic fluctuations in unfrustrated systems: random walks, scalar fields and the Kosterlitz-Thouless phase
- Optimal detrended fluctuation analysis as a tool for the determination of the roughness exponent of the mounded surfaces
- Non-local meta-conformal invariance in diffusion-limited erosion