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中国物理学会期刊

超晶格相变的逾渗机制

CSTR: 32037.14.aps.42.304

PERCOLATION MECHANISM OF SUPERLATTICE PHASE TRANSITION OF INTERMETALLIC COMPOUNDS

CSTR: 32037.14.aps.42.304
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  • 把超晶格相变的哈密顿量写成Ising形式,由Ising模型与键逾渗间的对应关系,得到超晶格相变的短程序参量为P′=1-e-2J/kT;由Monte-Carlo模拟定出L10结构的相变点为P′bc=0.3436,L12结构的相变点为P′bc=0.4924;建立了P′bc与相应结构上普通键逾渗阈值Pbc间的关系P′bcx=Pb

     

    In the present paper, superlattice phase transition and toughening of intermetallic compo-unds are studied. By writting the Hamiltonian of superlattice phase transition as the Ising's one, the expression of short-range-order parameter in superlattice phase transition P′ =1-exp (-2J/kT) is derived based on the correspondence of Ising model and bond percolation. The phase transition points of superlattice phase transition for systems with L10 and L12 structures are ther obtained by Monte-Carlo simulation, which is P′bc = 0.3436 (for Llo structure), P′bc= 0.4924 (for L12 structure). Furthermore, the relationship between P′bc and the corresponding values Pbc of general percolation process with the same nominal structure P′bc x=Pbc is for-mulated. Finally, the influence of composition variable x to the phase transition point, the or-dering and the brittleness of intermetallic compounds is expounded theoretically. It provides the theoretical basis for the toughening of intermetallic alloys, and also enriches percolation theory.

     

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