7 citations · 13 across the 12 of their papers we have counts for
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Cellular automaton model for substitutional binary diffusion in solids
Helena Ribera, Brian Wetton, Timothy Myers
In this paper we use the cellular automaton (CA) approach to model one-dimensional binary diffusion in solids. Employing a very simple state change rule we define an asynchronous C…
Mathematical model for substitutional binary diffusion in solids
Helena Ribera, Brian Wetton, Timothy Myers
In this paper we detail the mechanisms that drive substitutional binary diffusion and derive appropriate governing equations. We focus on the one-dimensional case with insulated bo…
Asymptotic Behaviour of Time Stepping Methods for Phase Field Models
Xinyu Cheng, Dong Li, Keith Promislow +1
Adaptive time stepping methods for metastable dynamics of the Allen Cahn and Cahn Hilliard equations are investigated in the spatially continuous, semi-discrete setting. We analyse…