From particles to spins: Eulerian formulation of supercooled liquids and glasses
arXiv:0802.3297 · doi:10.1073/pnas.0802724105
Abstract
The dynamics of supercooled liquid and glassy systems are usually studied within the Lagrangian representation, in which the positions and velocities of distinguishable interacting particles are followed. Within this representation, however, it is difficult to define measures of spatial heterogeneities in the dynamics, as particles move in and out of any one given region within long enough times. It is also non-transparent how to make connections between the structural glass and the spin glass problems within the Lagrangian formulation. We propose an Eulerian formulation of supercooled liquids and glasses that allows for a simple connection between particle and spin systems, and that permits the study of dynamical heterogeneities within a fixed frame of reference similar to the one used for spin glasses. We apply this framework to the study of the dynamics of colloidal particle suspensions for packing fractions corresponding to the supercooled and glassy regimes, which are probed via confocal microscopy.
arXiv comment7 pages, 7 figures
References in corpus (17)
- Analytical Solution of the Off-Equilibrium Dynamics of a Long Range Spin-Glass Model
- Dynamical heterogeneities in a supercooled Lennard-Jones liquid
- String-like Clusters and Cooperative Motion in a Model Glass-Forming Liquid
- The frustration-based approach of supercooled liquids and the glass transition: a review and critical assessment
- On nonlinear susceptibility in supercooled liquids
- Diverging length scale and upper critical dimension in the Mode-Coupling Theory of the glass transition
- Spatially heterogeneous ages in glassy dynamics
- Out-of-equilibrium dynamical fluctuations in glassy systems
- Short and long range correlated motion observed in colloidal glasses and liquids
- Dynamic particle tracking reveals the aging temperature of a colloidal glass
- Local fluctuations in the aging of a simple glass
- Fluctuations in glassy systems
- Correlations of Structure and Dynamics in an Aging Colloidal Glass
- Scaling and super-universality in the coarsening dynamics of the 3d random field Ising model
- Growing dynamical length, scaling and heterogeneities in the 3d Edwards-Anderson model
- Glass Phenomenology from the Connection to Spin Glasses
- Asymptotic aging in structural glasses