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Distribution of Topological Types in Grain-Growth Microstructures
Physical Review Letters ( IF 8.385 ) Pub Date : 2020-06-29 , DOI: 10.1103/physrevlett.125.015501
Emanuel A. Lazar; Jeremy K. Mason; Robert D. MacPherson; David J. Srolovitz

An open question in studying normal grain growth concerns the asymptotic state to which microstructures converge. In particular, the distribution of grain topologies is unknown. We introduce a thermodynamiclike theory to explain these distributions in two- and three-dimensional systems. In particular, a bendinglike energy Ei is associated to each grain topology ti, and the probability of observing that particular topology is proportional to [1/s(ti)]e−βEi, where s(ti) is the order of an associated symmetry group and β is a thermodynamiclike constant. We explain the physical origins of this approach and provide numerical evidence in support.
更新日期:2020-06-29

 

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