Phase nucleation in curved space
arXiv:1603.02612 · doi:10.1038/ncomms7856
Abstract
Nucleation and growth is the dominant relaxation mechanism driving first order phase transitions. In two-dimensional at systems nucleation has been applied to a wide range of problems in physics, chemistry and biology. Here we study nucleation and growth of two-dimensional phases lying on curved surfaces and show that curvature modify both, critical sizes of nuclei and paths towards the equilibrium phase. In curved space nucleation and growth becomes inherently inhomogeneous and critical nuclei form faster on regions of positive Gaussian curvature. Substrates of varying shape display complex energy landscapes with several geometry-induced local minima, where initially propagating nuclei become stabilized and trapped by the underlying curvature.
11 pages, 7 figures
References in corpus (16)
- Theory of Phase Ordering Kinetics
- STM Spectroscopy of ultra-flat graphene on hexagonal boron nitride
- Supercooled Liquids for Pedestrians
- Grain Boundary Scars and Spherical Crystallography
- Two-Dimensional Matter: Order, Curvature and Defects
- Vortices in Superfluid Films on Curved Surfaces
- Direct Visualization of Dislocation Dynamics in Grain Boundary Scars
- Crystallography on Curved Surfaces
- Anomalous coupling between topological defects and curvature
- Systematic Improvement of Classical Nucleation Theory
- Stable nematic droplets with handles
- Fractionalization of Interstitials in Curved Colloidal Crystals
- Defect generation and deconfinement on corrugated topographies
- Extrinsic Curvature, Geometric Optics, and Lamellar Order on Curved Substrates
- Crystallization Dynamics on Curved Surfaces
- Minimum free-energy path of homogenous nucleation from the phase-field equation
Cited by in corpus (16)
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- Impact of Interaction Range and Curvature on Crystal Growth of Particles Confined to Spherical Surfaces
- Self-assembled structures of colloidal dimers and disks on a spherical surface
- Role of Gaussian curvature on local equilibrium and dynamics of smectic-isotropic interfaces
- Thermodynamic equilibrium of binary mixtures on curved surfaces
- Orientational ordering of lamellar structures on closed surfaces
- Nucleation of antagonistic organisms and cellular competitions on curved, inflating substrates
- Nucleation on a sphere: the roles of curvature, confinement and ensemble
- Aspects of nucleation on curved and flat surfaces
- Thermal Properties of Vortices on Curved Surfaces
- Weakly nonlinear analysis of Turing pattern dynamics on curved surfaces
- Interfacial Line Energy of a Topological Phase
- Self-assembly of anisotropic particles on curved surfaces
- Line Tension Reshapes Nucleation at Surface Edges: A Generalized Theory for Nanopore Activation