Beyond modified mean field: a case for a stochastic grain growth model
Source abstract
Abstract
We address the basic mechanism of grain growth in two and three dimensions in single phase metallic systems. It is argued, a comprehensive grain growth model is best based on a stochastic process described by a Fokker Planck equation. This concept is sufficient to determine almost all features of grain growth in general terms. The existence of the von Neumann law and its counterpart in three dimensions enables us to provide an explicit form of the Fokker Planck equation and thus determine many features of grain growth in great detail. Finally, we illustrate this model by determining the salient features of grain growth in three dimensions in the long time limit, and comparing them with experimental and computational results.
Source: openalex_inverted_index · Quality: baseline
Research context
OpenAlex topics: High Temperature Alloys and Creep · Probabilistic and Robust Engineering Design · Rheology and Fluid Dynamics Studies
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
U.S. Naval Research Laboratory, Washington, DC, USA
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