Piezo-catalytic degradation of Havriliak–Negami type

Abstract

Two sets of experimental data of piezo-catalytic degradations are adapted to fit with three-parameter Mittag–Leffler functions. One set is degradation on methyl orange (MO) using catalysis of nano-sized barium titanates, and another set is on Rhodamine-B (RhB) using molybdenum disulfide nano-flowers as catalysts. The fitting results suggest that these piezo-catalytic degradations can be described either as Davidson–Cole type response function or Havriliak–Negami type of dielectric relaxation. This work confirms completely the universality in chemical reaction kinetics, which can be described by fractional differential equations with Mittag–Leffler functions as their solutions.

Keywords

• Piezo-catalytic degradation
• Havriliak–Negami relaxation
• Mittag–Leffler function