Generalized Elastic Model: thermal vs non-thermal initial conditions. Universal scaling, roughening, ageing and ergodicity

Abstract

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.

References in corpus (1)

• Faceted anomalous scaling in the epitaxial growth of semiconductor films

Cited by in corpus (9)

• The Lasting Effect of Initial Conditions on Single File Diffusion
• Interacting single-file system: Fractional Langevin formulation versus diffusion-noise approach
• Analytical Calculation of Four-Point Correlations for a Simple Model of Cages Involving Numerous Particles
• First-passage dynamics of linear stochastic interface models: numerical simulations and entropic repulsion effect
• Evolution equation for tagged particle density and correlations in single file diffusion
• First-passage dynamics of linear stochastic interface models: weak-noise theory and influence of boundary conditions
• Scaling characteristics of fractional diffusion processes in the presence of power-law distributed random noise
• Diffusion of an Active Particle Bound to a Generalized Elastic Model: Fractional Langevin Equation
• Anomalously slow transport in single-file diffusion with slow binding kinetics