VanSaders Bryan, Glotzer Sharon C
Department of Materials Science and Engineering, University of Michigan, Ann Arbor, Michigan 48109, USA.
Soft Matter. 2019 Aug 14;15(30):6086-6096. doi: 10.1039/c9sm00896a. Epub 2019 Jul 18.
Defects in a crystal can exert forces on each other via strain field interactions. Here we explore the strain-field-mediated interaction between an anisotropic interstitial probe particle and dislocation microstructures in a colloidal crystal composed of particles interacting via steep repulsive isotropic potentials. We optimize the interaction between probe particle and dislocation with the anisotropic shape of the probe as a free parameter. Such alchemical optimization is typically carried out upon the explicitly defined interaction potential parameters; instead, we optimize the strain field of the probe and then map back to particle shape. We distinguish this tactic from other alchemical methods as 'strain alchemy'. We report several findings: (1) a robust mapping exists between strain field calculation methods (the method of eigenstrains) and strains produced by an anisotropic interstitial, (2) optimization of strain field interactions in the strain domain permits rapid evaluation of candidate shapes for interstitials, (3) interstitial mobility barriers can be estimated from the strain field, and (4) strongly interacting and highly mobile interstitial particles can be found that are capable of driving dislocation glide with applied force. Active particle-induced dislocation glide is examined for the cases of edge dislocation arrays and extrinsic dislocation loops. For edge dislocations, particle geometries of alternating large and small diameter segments were found to interact most strongly. For dislocation loops, interstitials with a single small radius segment surrounded by large radius segments are best.
晶体中的缺陷可通过应变场相互作用对彼此施加力。在此,我们探索了在由通过陡峭的各向同性排斥势相互作用的粒子构成的胶体晶体中,各向异性间隙探针粒子与位错微结构之间的应变场介导相互作用。我们将探针的各向异性形状作为自由参数来优化探针粒子与位错之间的相互作用。这种炼金术式优化通常是针对明确界定的相互作用势参数进行的;相反,我们优化探针的应变场,然后再映射回粒子形状。我们将这种策略与其他炼金术方法区分开来,称之为“应变炼金术”。我们报告了几个发现:(1)应变场计算方法(本征应变方法)与各向异性间隙产生的应变之间存在稳健的映射关系,(2)在应变域中优化应变场相互作用可快速评估间隙的候选形状,(3)间隙迁移率障碍可从应变场估算得出,(4)可以找到能够在施加力时驱动位错滑移的强相互作用且高迁移率的间隙粒子。针对刃型位错阵列和非本征位错环的情况,研究了活性粒子诱导的位错滑移。对于刃型位错,发现交替排列大直径和小直径段的粒子几何形状相互作用最强。对于位错环,由大半径段包围的单个小半径段的间隙是最佳的。