Zaiser, MichaelMiguel López, María del CarmenGroma, I.2010-01-252010-01-2520010163-1829https://hdl.handle.net/2445/10871During plastic deformation of crystalline materials, the collective dynamics of interacting dislocations gives rise to various patterning phenomena. A crucial and still open question is whether the long range dislocation-dislocation interactions which do not have an intrinsic range can lead to spatial patterns which may exhibit well-defined characteristic scales. It is demonstrated for a general model of two-dimensional dislocation systems that spontaneously emerging dislocation pair correlations introduce a length scale which is proportional to the mean dislocation spacing. General properties of the pair correlation functions are derived, and explicit calculations are performed for a simple special case, viz pair correlations in single-glide dislocation dynamics. It is shown that in this case the dislocation system exhibits a patterning instability leading to the formation of walls normal to the glide plane. The results are discussed in terms of their general implications for dislocation patterning.9 p.application/pdfeng(c) The American Physical Society, 2001Dislocacions en cristallsFísica estadísticaMatèria condensadaTermodinàmicaPlasticitatDislocations in crystalsStatistical physicsCondensed matterThermodynamicsDislocations in crystalsCondensed matterPlasticityinfo:eu-repo/semantics/article513971info:eu-repo/semantics/openAccess