期刊
PHYSICAL REVIEW E
卷 87, 期 4, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.87.042314
关键词
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资金
- National Science Foundation [DMR1005289]
- Harvard Materials Research Science and Engineering Laboratory [DMR0820484]
- Junior Fellowship of the Harvard Society of Fellows
We study the mechanics and statistical physics of dislocations interacting on cylinders, motivated by the elongation of rod-shaped bacterial cell walls and cylindrical assemblies of colloidal particles subject to external stresses. The interaction energy and forces between dislocations are solved analytically, and analyzed asymptotically. The results of continuum elastic theory agree well with numerical simulations on finite lattices even for relatively small systems. Isolated dislocations on a cylinder act like grain boundaries. With colloidal crystals in mind, we show that saddle points are created by a Peach-Koehler force on the dislocations in the circumferential direction, causing dislocation pairs to unbind. The thermal nucleation rate of dislocation unbinding is calculated, for an arbitrary mobility tensor and external stress, including the case of a twist-induced Peach-Koehler force along the cylinder axis. Surprisingly rich phenomena arise for dislocations on cylinders, despite their vanishing Gaussian curvature.
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