74 citations · 227 across the 23 of their papers we have counts for
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cond-mat.stat-mech2021★ 2 cited
Reaction-drift-diffusion models from master equations: application to material defects
Thomas D Swinburne, Danny Perez
We present a general method to produce well-conditioned continuum reaction-drift-diffusion equations directly from master equations on a discrete, periodic state space. We assume t…
cond-mat.stat-mech2013★ 9 cited
Collective transport in the discrete Frenkel-Kontorova model
T. D. Swinburne
Through multiscale analysis of the adjoint Fokker-Planck equation, strict bounds are derived for the center of mass diffusivity of an overdamped harmonic chain in a periodic potent…