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On the dependence of kinetic parameters and functions in non-isothermal kinetics |
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| Affiliation: | 1. Department of Materials Science and Engineering, University of Michigan, Ann Arbor 48109, USA;2. Department of Materials Science and Engineering, Drexel University, Philadelphia 19104, USA;3. Department of Mechanical Science and Bioengineering, Osaka University, Osaka 560-8531, Japan;1. Department of Materials Science and Engineering, Texas A&M University, College Station, TX 77843 USA;2. Ames National Laboratory, U.S. Department of Energy, Ames, IA 50011 USA;3. Department of Materials Science & Engineering, Iowa State University, Ames, IA 50011 USA |
| Abstract: | The approaches to overcoming local ambiguity due to the dependence of the kinetic equation parameters are considered. The application of the mathematical apparatus of the Jacobi matrices enables one to determine the number of both independent kinetic parameters and kinetic functions used to describe a process. No more than five parameters in the Šestak-Berggren equation and only some kinetic functions are found to possess independence. |
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