We report here a comprehensive study of the gradual resistive switching (RS) observed in La0.5Ca0.5MnO5−δ epitaxial films. We find that the inverse gradual RS as well as the relaxation can be well fitted by a biexponential function or alternatively by a stretched exponential function. We also unravel that the gradual RS kinetics can be further interpreted within the Landau-Khalatnikov theory of critical slowing down. This unified theoretical modeling properly incorporates the microstructural fluctuations owing to the presence of single isolated and clustered oxygen vacancies at the metal-oxide interface.
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