Has there been any extensive work on Bowen's reaction series for lava/magma fractional crystallization bases on rigorous thermodynamics and chemistry viewpoint? Please let me know if there is any pattern to understand this unwieldy series!
there are more textbooks on igneous petrology than you can imagine all of which have in their initial chapters phase diagrams and thermodynamic datasets based upon which you can figure out on how Bowen´s reaction series works.
you can simply check the famous MELTS code (it works better on Linus-based computers, but you can use also an on-line version with Windows software) or its variants (P-MELTS or Rhyolite-MELTS). You can simply go to the MELTS web-site (http://melts.ofm-research.org/) and then you can choose the best option for you. Note that it is not easy to work with this software.
Alternatively, you can use the much simpler PELE software (Article PELE—a version of the MELTS software program for the PC platform
).
Please forget the classical Bowen's sequence of crystallization. About one hundred years of petrological investigation have demonstrated the existence of much more complicated variants in the sequence of mineral crystallization.