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Derivation of the general equation of the kinetics of phase transformation with nucleation and growth mechanism

Derivation of the general equation of the kinetics of phase transformation with nucleation and growth mechanism
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摘要 The fundamentals of a new method of theoretically studying the kinetics of the phase transformation with nudeation and growth mechanism are demonstrated.Startingfromfinite,heterogeneous system,the survival probability of the individual sites for the given annealing time can be calculated by the present treatment,so that the kinetics equation under general conditions can be derived.In comparison to the classical treatment,the new derivations are not only rigorous and transparent,but also can be used to deal with the non-homogeneous systems and the non-steady process.Also the problems concerning the interference of more than one simultaneously occurring transformations and the correlation between different sites can be studied. The fundamentals of a new method of theoretically studying the kinetics of the phase transformation with nudeation and growth mechanism are demonstrated.Startingfromfinite,heterogeneous system,the survival probability of the individual sites for the given annealing time can be calculated by the present treatment,so that the kinetics equation under general conditions can be derived.In comparison to the classical treatment,the new derivations are not only rigorous and transparent,but also can be used to deal with the non-homogeneous systems and the non-steady process.Also the problems concerning the interference of more than one simultaneously occurring transformations and the correlation between different sites can be studied.
作者 郁鸽
出处 《Science China(Technological Sciences)》 SCIE EI CAS 1996年第5期504-510,共7页 中国科学(技术科学英文版)
基金 Project supported by the National Natural Science Foundation of China.
关键词 KINETICS of transformation NUCLEATION and growth AVRAMI EQUATION general systems. kinetics of transformation,nucleation and growth,Avrami equation,general systems.
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