Abstract
The self-consistent mathematical model has been developed for the catalytic chemical vapor deposition carbon nanofiber growth. This model includes the balance equation for the carbon transport through the catalyst and the equation for mechanical and chemical balance in the catalyst � nanofiber system. It is demonstrated that the most important parameter that governs the catalyst-nanofiber growth system behavior is the difference of the carbon chemical potentials in catalyst and nanofiber. This parameter determines the carbon transport to the nanofiber. It is also responsible for the catalyst shape and topology of the interface between catalyst and nanofiber. Model solutions are in agreement with numerous experimental results. The model can be used for planning new experiments and explaining existing results. It leaves the opportunity for more precise and complicated mathematical calculations of different parts of the growth process.