Premium
On the Geometry of Diffusion Processes in Continuized Dislocated Crystals
Author(s) -
Trzęsowski A.
Publication year - 1995
Publication title -
fortschritte der physik/progress of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.2190430604
Subject(s) - curvature , geometry , diffusion , crystallographic defect , diffusion process , space (punctuation) , non equilibrium thermodynamics , scalar (mathematics) , enhanced data rates for gsm evolution , anomalous diffusion , physics , materials science , classical mechanics , condensed matter physics , mathematics , thermodynamics , telecommunications , knowledge management , linguistics , innovation diffusion , philosophy , computer science
Nonequilibrium diffusion processes of point defects in continuized dislocated crystals are considered. A generalized, stochastically motivated gauge procedure to introduce the geometry of a material space describing the influence of dislocations on the free diffusion process, is used. The dependence of diffusing processes and their steady states on the curvature of the material space of edge dislocations, on the scalar density of these dislocations, and on the interaction energy between dislocations and a diffusing atom, is analysed. An equation defining the interaction energy is deduced, using statistical arguments, from the material space geometry.