English

Continuum theory of vacancy-mediated diffusion

Statistical Mechanics 2009-10-31 v1

Abstract

We present and solve a continuum theory of vacancy-mediated diffusion (as evidenced, for example, in the vacancy driven motion of tracers in crystals). 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.

Keywords

Cite

@article{arxiv.cond-mat/9806291,
  title  = {Continuum theory of vacancy-mediated diffusion},
  author = {T. J. Newman},
  journal= {arXiv preprint arXiv:cond-mat/9806291},
  year   = {2009}
}

Comments

25 Latex pages, subm. to Physical Review B

R2 v1 2026-07-22T12:04:50.492Z