Unified Theoretical Framework for Polycrystalline Pattern Evolution
arXiv:1303.0577 · doi:10.1103/PhysRevLett.110.265504
Abstract
The rate of curvature-driven grain growth in polycrystalline materials is well-known to be limited by interface dissipation. We show analytically and by simulations that, for systems forming modulated phases or non-equilibrium patterns with crystal ordering, growth is limited by bulk dissipation associated with lattice translation, which dramatically slows down grain coarsening. We also show that bulk dissipation is reduced by thermal noise so that those systems exhibit faster coarsening behavior dominated by interface dissipation for high Peierls barrier and high noise. Those results provide a unified theoretical framework for understanding and modeling polycrystalline pattern evolution in diverse systems over a broad range of length and time scales.
References in corpus (2)
Cited by in corpus (17)
- Grain growth beyond the Mullins model, capturing the complex physics behind universal grain size distributions
- Consistent Hydrodynamics for Phase Field Crystals
- Grain Boundary Structures and Collective Dynamics of Inversion Domains in Binary Two-Dimensional Materials
- A unified theory of grain growth in polycrystalline materials
- Mesoscale model of dislocation motion and crystal plasticity
- Thermodynamic and ordering kinetics in asymmetric PS-b-PMMA block copolymer thin films
- Hydrodynamic theory of freezing: Nucleation and polycrystalline growth
- Modeling of grain boundary dynamics using amplitude equations
- Grain rotation and coupled grain boundary motion in two-dimensional binary hexagonal materials
- Comparison of simulated and measured grain volume changes during grain growth
- Impact of grain boundary energy anisotropy on grain growth
- Ordering kinetic in two-dimensional hexagonal pattern of cylinder-forming PS-b-PMMA block copolymer thin films: dependence on the segregation strength
- Elastically-mediated interactions between grain boundaries and precipitates in two-phase coherent solids
- Anomalous grain dynamics and grain locomotion of odd crystals
- Long wavelength properties of phase field crystal models with second order dynamics
- Rotation-limited growth of three dimensional body-centered cubic crystals
- Pattern formation mechanisms in sphere-forming diblock copolymer thin films