Sat, 26 Jul 2008 06:05:49 BST CiteULike: dchen's Bowick http://www.citeulike.org/user/dchen/author/Bowick CiteULike.org en-gb Copyright © 2004-2008 citeulike.org http://www.citeulike.org/user/dchen/article/2883886 <i>Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), Vol. 75, No. 2. (2007)</i><br /><br />Point defects are ubiquitous in two-dimensional crystals and play a fundamental role in determining their mechanical and thermodynamical properties. When crystals are formed on a curved background, finite-length grain boundaries (scars) are generally needed to stabilize the crystal. We provide a continuum elasticity analysis of defect dynamics in curved crystals. By exploiting the fact that any point defect can be obtained as an appropriate combination of disclinations, we provide an analytical determination of the elastic spring constants of dislocations within scars and compare them with existing experimental measurements from optical microscopy. We further show that vacancies and interstitials, which are stable defects in flat crystals, are generally unstable in curved geometries. This observation explains why vacancies or interstitials are never found in equilibrium spherical crystals. We finish with some further implications for experiments and future theoretical work. Dynamics and instabilities of defects in two-dimensional crystals on curved backgrounds Mark Bowick Homin Shin Alex Travesset doi:10.1103/PhysRevE.75.021404 Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), Vol. 75, No. 2. (2007) 2008-06-11T21:47:51-00:00 2007 Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) 75 2 APS 2007 2d crystal defect pre http://www.citeulike.org/user/dchen/article/2878033 <i>Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), Vol. 77, No. 2. (2008)</i><br /><br />We investigate crystalline order on a two-dimensional paraboloid of revolution by assembling a single layer of millimeter-sized soap bubbles on the surface of a rotating liquid, thus extending the classic work of Bragg and Nye on planar soap bubble rafts. Topological constraints require crystalline configurations to contain a certain minimum number of topological defects such as disclinations or grain boundary scars whose structure is analyzed as a function of the aspect ratio of the paraboloid. We find the defect structure to agree with theoretical predictions and propose a mechanism for scar nucleation in the presence of large Gaussian curvature. Bubble-raft model for a paraboloidal crystal Mark Bowick Luca Giomi Homin Shin Creighton Thomas doi:10.1103/PhysRevE.77.021602 Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), Vol. 77, No. 2. (2008) 2008-06-09T20:35:14-00:00 2008 Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) 77 2 APS 2008 bubble model pre qualif2 http://www.citeulike.org/user/dchen/article/2714497 <i>Science, Vol. 299, No. 5613. (14 March 2003), pp. 1716-1718.</i><br /><br />10.1126/science.1081160 Grain Boundary Scars and Spherical Crystallography AR Bausch MJ Bowick A Cacciuto AD Dinsmore MF Hsu DR Nelson MG Nikolaides A Travesset DA Weitz doi:10.1126/science.1081160 Science, Vol. 299, No. 5613. (14 March 2003), pp. 1716-1718. 2008-04-24T22:18:23-00:00 2003 Science 299 5613 1716 1718 2d crystal surface weitz