2016/09/27 by Edward, Jimenez, Hector, Mosquera, Marco, Cortez +4
#35J05 #35J10 #Chemical Physics (physics.chem-ph) #FOS: Physical sciences #I.7.2 #Mathematical Physics (math-ph)
paper · doi:10.48550/arxiv.1609.09351
In this work we show that the dynamics of chemical reactions of order zero, one and two have a representation through logistics probability. This probability is robust, stable and complies systemically with the differential equation of Fisher Kolmogorov (F K). It is robust, because in theorem 1 and theorem 3 differential equations of diffusion and heat transfer are obtained, where the temperature plays a key role. Also, the Eikonal equation of wave mechanics allows us to construct the heat equation. In Lemma 2, Fick diffusion equation is demonstrated. It is stable, because probability convergence when t converge infinitum, gives us new ways to analyze the kinetics of a reaction integrally, in Corollary 5. Finally, the theoretically and experimentally obtained algorithms and results support the convergence in probability of the quantum tunnel effect and chemical reactions for: hydrogen production at ultra low temperature and catalytic cracking of asphalt at high temperature.