Two-Dimensional Diffusion in the Presence of Topological Disorder

Details Two-Dimensional Diffusion in the Presence of Topological Disorder Two-Dimensional Diffusion in the Presence of Topological Disorder

2003-08-29

arxiv.org/abs/cond-mat/0308612v1

Phys. Rev. E 68 (2003) 021107

Physics

Condensed Matter

Statistical Mechanics

10 pages, 6 figures

Scientific paper

10.1103/PhysRevE.68.021107

How topological defects affect the dynamics of particles hopping between lattice sites of a distorted, two-dimensional crystal is addressed. Perturbation theory and numerical simulations show that weak, short-ranged topological disorder leads to a finite reduction of the diffusion coefficient. Renormalization group theory and numerical simulations suggest that longer-ranged disorder, such as that from randomly placed dislocations or random disclinations with no net disclinicity, leads to subdiffusion at long times.

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