Formation of Facets for an Effective Model of Crystal Growth
DOI10.1007/978-981-15-0294-1_9zbMath1446.82080arXiv1704.06760OpenAlexW4292013571MaRDI QIDQ3297365
Senya B. Shlosman, Dimitry Ioffe
Publication date: 3 July 2020
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.06760
equilibrium crystal shapesinfinite sequence of first-order transitionsmicroscopic facetsSOS model with bulk fields
Phase transitions (general) in equilibrium statistical mechanics (82B26) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24) Statistical mechanics of solids (82D20) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical thermodynamics (82B30)
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Cites Work
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- Scaling limit and cube-root fluctuations in SOS surfaces above a wall
- Dynamics of \((2+1)\)-dimensional SOS surfaces above a wall: slow mixing induced by entropic repulsion
- Dyson Ferrari-Spohn diffusions and ordered walks under area tilts
- On the probability of staying above a wall for the \((2+1)\)-dimensional SOS model at low temperature
- Step fluctuations for a faceted crystal
- Critical region for droplet formation in the two-dimensional Ising model
- Large deviations of the finite cluster shape for two-dimensional percolation in the Hausdorff and \(L^1\) metric
- Constrained variational problem with applications to the Ising model.
- On the Wulff crystal in the Ising model.
- The Wulff construction in three and more dimensions
- An invariance principle to Ferrari-Spohn diffusions
- Interaction versus entropic repulsion for low temperature Ising polymers
- Height fluctuations in the honeycomb dimer model
- 3D crystal: how flat its flat facets are?
- Constrained Brownian motion: fluctuations away from circular and parabolic barriers
- A variational principle for domino tilings
- Facet shapes in a Wulff crystal
- Limit shapes, real and imagined
- Analysis and Stochastics of Growth Processes and Interface Models
- Ising model fog drip: the first two droplets
- Finite connections for supercritical Bernoulli bond percolation in 2D
- Gibbs State Describing Coexistence of Phases for a Three-Dimensional Ising Model
- Low-temperature interfaces: Prewetting, layering, faceting and Ferrari-Spohn diffusions
- Rigorous probabilistic analysis of equilibrium crystal shapes
- The low-temperature expansion of the Wulff crystal in the 3D Ising model
