Dynamic fluctuations of elastic lines in random environments
arXiv:cond-mat/0603503 · doi:10.1209/epl/i2006-10336-9
Abstract
We study the fluctuations of the two-time dependent global roughness of finite size elastic lines in a quenched random environment. We propose a scaling form for the roughness distribution function that accounts for the two-time, temperature, and size dependence. At high temperature and in the final stationary regime before saturation the fluctuations are as the ones of the Edwards-Wilkinson interface evolving from typical initial conditions. We analyze the variation of the scaling function within the aging regime and with the distance from saturation. We speculate on the relevance of our results to describe the fluctuations of other non-equilibrium systems such as models at criticality.
7 pages, 3 figures
References in corpus (20)
- Vortex-glass phases in type-II superconductors
- Ageing Properties of Critical Systems
- Random Walkers in 1-D Random Environments: Exact Renormalization Group Analysis
- Exact Maximal Height Distribution of Fluctuating Interfaces
- Time Resolved Correlation measurements of temporally heterogeneous dynamics
- Heterogeneous aging in spin glasses
- Spatially heterogeneous ages in glassy dynamics
- Out-of-equilibrium dynamical fluctuations in glassy systems
- Separation of time-scales and reparametrization invariance for aging systems
- Dynamic particle tracking reveals the aging temperature of a colloidal glass
- Vortices Freeze like Window Glass: the Vortex Molasses Scenario
- Non-equilibrium relaxation of an elastic string in a random potential
- Aging and diffusion in low dimensional environments
- Dynamic Scaling of Width Distribution in Edwards--Wilkinson Type Models of Interface Dynamics
- Fluctuations in the coarsening dynamics of the O(N) model: are they similar to those in glassy systems?
- Aging Dynamics of an Elastic String Diffusing in a Disordered Media
- Out-of-equilibrium dynamics of the vortex glass
- Off-Equilibrium Dynamics of 1+1 dimensional Directed Polymer in Random Media
- Directed polymer in random media, in two dimensions: numerical study of the aging dynamics
- Scaling functions for nonequilibrium fluctuations: A picture gallery
Cited by in corpus (9)
- Growing correlations and aging of an elastic line in a random potential
- Fluctuations in glassy systems
- Langevin simulations of the out-of-equilibrium dynamics of the vortex glass in high-temperature superconductors
- Out-of-equilibrium relaxation of the Edwards-Wilkinson elastic line
- Finite-size effects in roughness distribution scaling
- Aging dynamics of non-linear elastic interfaces: the Kardar-Parisi-Zhang equation
- Dynamic fluctuations in unfrustrated systems: random walks, scalar fields and the Kosterlitz-Thouless phase
- Relaxation dynamics of an elastic string in random media
- Anisotropic finite-size scaling of an elastic string at the depinning threshold in a random-periodic medium