研究了二元非均匀体系扩散的非线性动力学离散模型与Fick扩散定律和Cahn-Hilliard扩散方程的相关性.二元非均匀体系非线性动力学离散模型中,因原子的扩散系数与局部原子浓度强相关,扩散非对称性系数m'和有序能V是主要影响参数.采用非线性动力学离散模型和Cahn-Hilliard扩散方程分别计算了调制周期为4.8,9.6和48 nm的Mo/V纳米多层薄膜的互扩散行为. Fick扩散定律和Cahn-Hilliard扩散方程等经典扩散定律和非线性动力学离散模型均可合理描述较大扩散尺度的扩散,随着扩散尺度的减小,经典扩散定律偏差逐渐增大,纳米尺度下的扩散需用非线性动力学离散模型描述.
参考文献
[1] | Cahn J W,Hilliard J E.J Chem Phys,1958; 28:258 |
[2] | Cahn J W.Acta Metall,1961; 9:795 |
[3] | Philibert J.Atom Movements:Diffusion and Mass Transport in Solids.Paris,France:Les Editions des Physique,1991 |
[4] | Martin G,Benoist P.Scr Metall,1977; 11:503 |
[5] | Cook H E,Fontaine D D,Hilliard J E.Acta Metall,1969; 17:765 |
[6] | Yamauchi H,Hilliard J E.Sct Metall,1972; 6:909 |
[7] | Martin G.Phys Rev,1990; 41B:2279 |
[8] | Erdelyi Z,Szabo I A,Beke D L.Phys Rev Lett,2002; 89:165901 |
[9] | Erdelyi Z,Katona G L,Beke D L.Phys Rev,2004; 69B:113407 |
[10] | Erdelyi Z,Beke D L,Nemes P,Langer G A.Philos Mag,1999; 79A:1757 |
[11] | Beke D L,Erdelyi Z,Szabo I A,Cserhati C.J Metastable Nanoeryst Mater,2004; 19:107 |
[12] | Yan X,Egami T,Marinero E E,Farrow R F C,Lee C H.J Mater Res,1992; 7:1309 |
[13] | Csik A,Beke D L,Langer G A,Erdelyi Z,Daroczi L,Kapta K,Kis-Varga M.Vacuum,2001; 61:297 |
[14] | Cook H E,Hilliard J E.J Appl Phys,1969; 40:2191 |
[15] | Prokes S M,Spaepen F.Appl Phys Lett,1985; 47:234 |
[16] | Wang W H,Bai H Y,Zhang M,Zhao J H,Zhang X Y,Wang W K.Phys Rev,1999; 59 B:10811 |
[17] | Aubertine D B,Mander M A,Ozguven N,Marshall A F,Mclntyre P C,Chu J O,Mooney P M.J Appl Phys,2002; 92:5027 |
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