A transfer function approach to reaction rate analysis with applications to phase-change materials and devices
Aziz, Mustafa M.
Wright, C. David
Applied Physics Letters
American Institute of Physics (AIP)
A very good approximate, closed-form solution to the reaction rate equation with Arrhenius temperature dependence is derived, valid for activation energies E >> kBxT0 (kB is Boltzmann constant and T0 is room temperature) and monotonically decreasing temperatures. This solution is then used to develop a transfer function description of the reaction rate equation, enabling the bandwidth of the reaction rate to be determined and related to the kinetic and thermophysical parameters of the medium. Applications of the transfer function approach to understanding and predicting reaction (i.e. crystallization) rates in phase-change materials and devices are discussed.
Copyright © 2013 American Institute of Physics. The following article appeared in Applied Physics Letters Vol. 103 (11) and may be found at http://dx.doi.org/10.1063/1.4820696
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Vol. 103 (11), article 113501