Characterisation of non-equilibrium growth through global two-time quantities
arXiv:1007.2380 · doi:10.1088/1742-5468/2010/08/P08007
Abstract
In order to characterise non-equilibrium growth processes, we study the behaviour of global quantities that depend in a non-trivial way on two different times. We discuss the dynamical scaling forms of global correlation and response functions and show that the scaling behaviour of the global response can depend on how the system is perturbed. On the one hand we derive exact expressions for systems characterised by linear Langevin equations (as for example the Edwards-Wilkinson and the noisy Mullins-Herring equations), on the other hand we discuss the influence of non-linearities on the scaling behaviour of global quantities by integrating numerically the Kardar-Parisi-Zhang equation. We also discuss global fluctuation-dissipation ratios and how to use them for the characterisation of non-equilibrium growth processes.
25 pages, 5 figures, to appear in JSTAT
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- Field-Theoretic Thermodynamic Uncertainty Relation -- General formulation exemplified with the Kardar-Parisi-Zhang equation
- Spherical model of growing interfaces
- On logarithmic extensions of local scale-invariance
- Dynamic fluctuations in unfrustrated systems: random walks, scalar fields and the Kosterlitz-Thouless phase
- Relaxation after a change in the interface growth dynamics
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