TY - JOUR
T1 - Continuum theory of vacancy-mediated diffusion
AU - Newman, T. J.
PY - 1999/6/1
Y1 - 1999/6/1
N2 - We present and solve a continuum theory of vacancy-mediated diffusion (as evidenced, for example, in the vacancy driven motion of tracers in crystals). We restrict our attention to ultralow vacancy densities, so that a tracer only experiences a single vacancy over the time scales of interest. Results are obtained for all spatial dimensions, and reveal the strongly non-Gaussian nature of the tracer fluctuations. In integer dimensions, our results are in complete agreement with those from previous exact lattice calculations. We also extend our model to describe the vacancy-driven fluctuations of a slaved flux line.
AB - We present and solve a continuum theory of vacancy-mediated diffusion (as evidenced, for example, in the vacancy driven motion of tracers in crystals). We restrict our attention to ultralow vacancy densities, so that a tracer only experiences a single vacancy over the time scales of interest. Results are obtained for all spatial dimensions, and reveal the strongly non-Gaussian nature of the tracer fluctuations. In integer dimensions, our results are in complete agreement with those from previous exact lattice calculations. We also extend our model to describe the vacancy-driven fluctuations of a slaved flux line.
UR - http://www.scopus.com/inward/record.url?scp=0000657888&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.59.13754
DO - 10.1103/PhysRevB.59.13754
M3 - Article
AN - SCOPUS:0000657888
SN - 1550-235X
VL - 59
SP - 13754
EP - 13763
JO - Physical Review B: Condensed matter and materials physics
JF - Physical Review B: Condensed matter and materials physics
IS - 21
ER -