On the equilibrium shape of a crystal
Analysis of PDEs
2024-06-04 v4
Authors:
Emanuel Indrei
Abstract
A solution is given to a long-standing open problem posed by Almgren.
Keywords
Cite
@article{arxiv.2008.02238,
title = {On the equilibrium shape of a crystal},
author = {Emanuel Indrei},
journal= {arXiv preprint arXiv:2008.02238},
year = {2024}
}
Comments
35 pages, 5 figures
Related papers
View all related →
Mathematical Physics · Physics
The one-dimensional equilibrium shape of a crystal
Emanuel Indrei
2025-01-15
Analysis of PDEs · Mathematics
On the three-dimensional shape of a crystal
Emanuel Indrei, Aram Karakhanyan
2024-06-04
Statistical Mechanics · Physics
Equilibrium Shape of Crystals
Theodore L. Einstein
2015-01-12
Statistical Mechanics · Physics
Facet shapes in a Wulff crystal
Salvador Miracle-Sole
2012-06-19
Numerical Analysis · Mathematics
Geometry Equilibration of Crystalline Defects in Quantum and Atomistic Descriptions
Huajie Chen, Faizan Q. Nazar, Christoph Ortner
2018-10-16
Quantum Algebra · Mathematics
Symmetric Crystals for $\gl_\infty$
Naoya Enomoto, Masaki Kashiwara
2015-12-22
Materials Science · Physics
Defining shapes of 2D-crystals with undefinable edge-energies
Luqing Wang, Sharmila N. Shirodkar, Zhuhua Zhang, Boris I. Yakobson
2019-09-23
Soft Condensed Matter · Physics
Equilibrium state of a cylindrical particle with flat ends in nematic liquid crystals
S. Masoomeh Hashemi, Mohammad Reza Ejtehadi
2015-01-27
Analysis of PDEs · Mathematics
The nonlocal Almgren problem
Emanuel Indrei
2024-08-13
Probability · Mathematics
Rigorous Probabilistic Analysis of Equilibrium Crystal Shapes
T. Bodineau, D. Ioffe, Y. Velenik
2011-08-25
Functional Analysis · Mathematics
Solution of the Ovals problem
Yacine Chitour, Jochen Denzler, Frédéric Jean, Emmanuel Trélat
2025-04-22
Numerical Analysis · Mathematics
A finite element method for nematic liquid crystals with variable degree of orientation
Ricardo H. Nochetto, Shawn W. Walker, Wujun Zhang
2017-08-03
Mathematical Physics · Physics
Symmetry problem
Alexander G. Ramm
2014-02-14
Analysis of PDEs · Mathematics
Existence and uniqueness for anisotropic and crystalline mean curvature flows
Antonin Chambolle, Massimiliano Morini, Matteo Novaga, Marcello Ponsiglione
2017-02-13
q-alg · Mathematics
Quantized Affine Algebras and Crystals with Head
Seok-Jin Kang, Masaki Kashiwara
2015-12-22
Materials Science · Physics
Computing Equilibrium Shapes of Wurtzite Crystals: The Example of GaN
Hong Li, Lutz Geelhaar, Henning Riechert, Claudia Draxl
2015-08-26
Analysis of PDEs · Mathematics
Duality arguments for linear elasticity problems with incompatible deformation fields
Adriana Garroni, Annalisa Malusa
2020-07-16
Analysis of PDEs · Mathematics
A shape optimization problem for nematic and cholesteric liquid crystal drops
Alessandro Giacomini, Silvia Paparini
2024-08-29
Analysis of PDEs · Mathematics
Special solutions to a fourth-order nonlinear parabolic equation in non-divergence form
Xiangsheng Xu
2019-02-05
Statistical Mechanics · Physics
Equilibrium shapes and faceting for ionic crystals of body-centered-cubic type
Enrico Carlon, Henk van Beijeren
2009-10-31
Mathematical Physics · Physics
Moments, Equilibrium Equations and Mutual Distances
Eduardo S. G. Leandro
2026-03-06
Soft Condensed Matter · Physics
Liquid Crystals on Deformable Surfaces
Ingo Nitschke, Sebastian Reuther, Axel Voigt
2021-03-17
Materials Science · Physics
Equilibrium nano-shape changes induced by epitaxial stress (generalised Wulf-Kaishew theorem)
P. Muller, R. Kern
2015-05-13
Materials Science · Physics
Full ab initio atomistic approach for morphology prediction of hetero-integrated crystals: A confrontation with experiments
Sreejith Pallikkara Chandrasekharan, Sofia Apergi, Chen Wei, Federico Panciera +5
2026-02-24
Analysis of PDEs · Mathematics
A Strong Form of the Quantitative Wulff Inequality for Crystalline Norms
Kenneth DeMason
2024-02-13