Generalized elastic model: Thermal vs. non-thermal initial conditions —Universal scaling, roughening, ageing and ergodicity
School of Chemistry, Tel Aviv University - Tel Aviv 69978, Israel
2 CNR-IENI - Via R. Cozzi 53, 20125 Milano, Italy, EU
3 Akhiezer Institute for Theoretical Physics, NSC KIPT - Kharkov 61108, Ukraine
Accepted: 13 December 2011
We study correlation properties of the generalized elastic model which accounts for the dynamics of polymers, membranes, surfaces and fluctuating interfaces, among others. We develop a theoretical framework which leads to the emergence of universal scaling laws for systems starting from thermal (equilibrium) or non-thermal (non-equilibrium) initial conditions. Our analysis incorporates and broadens previous results such as observables' double scaling regimes, (super)roughening and anomalous diffusion, and furnishes a new scaling behavior for correlation functions at small times (long distances). We discuss ageing and ergodic properties of the generalized elastic model in non-equilibrium conditions, providing a comparison with the situation occurring in continuous time random walk. Our analysis also allows to assess which observable is able to distinguish whether the system is in or far from equilibrium conditions in an experimental set-up.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 02.50.Ey – Stochastic processes / 87.10.Mn – Stochastic modeling
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