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Modeling Energetics And Noise In Dislocation Patterning, Robb Thomson, M. Koslowski, Richard Alan Lesar

Richard Alan Lesar

We explore the underlying physics of dislocation ordering in deforming metals, where we focus on the competing role of energy relaxation and the fluctuations (noise) in the local stress field. We investigate the competition by employing a simple two-dimensional model that exhibits the essential physics, while avoiding extraneous mechanisms that might cloud the issues. We show that noise and energetics are equally important in determining the final state of the system. Quantitative functions for the energetic driving force for ordering and the resistive force owing to the noise are developed that balance one another at the relaxed state. These features …