Establishment of Physical and Mathematical Models for Sr0.95Ba0.05TiO₃Memristor

Abstract

The Sr[Formula: see text]Ba[Formula: see text]TiO3 (SBT) memristor is prepared using the monolayer Sr[Formula: see text]Ba[Formula: see text]TiO3 nano-film structure. In order to apply it into the nonlinear circuit design, the SBT memristor is modeled in the paper. The voltage-controlled physical model of the SBT memristor is established based on its working mechanism. Due to the difficulty in determining the accurate parameters of the voltage-controlled physical model, a flux-controlled mathematical model of the SBT memristor is proposed, and its equivalence relation with the voltage-controlled physical model is proved. Moreover, the parameters of the flux-controlled mathematical model are determined by means of the quadratic polynomial interpolation method using the experimentally measured voltage and current data of the SBT memristor. The simulated [Formula: see text]–[Formula: see text] characteristic curve using the flux-controlled mathematical model coincides well with the measured [Formula: see text]–[Formula: see text] characteristic curves. The result indicates that the flux-controlled mathematical model with the definite parameters can be used to characterize the behaviors of the physical SBT memristor and guide its application to nonlinear circuit design.

A novel memcapacitor and its application in a chaotic circuit

“…In the previous researches, the mathematical model of the memristor had been proposed [30,31]. According to the experimental measurement of the memristor, the flux-controlled model of the memristor was obtained as follows:…”

“…Based on the method of constructing physical memcapacitor proposed by Ref. [29], this paper uses the physical SBT (Sr 0.95 Ba 0.05 TiO 3 ) memristor [30,31] in our lab to design a memcapacitor, which can be directly used as a circuit element to generates chaos in the circuit. This paper constructs a fifth-order chaotic circuit composed of memcapacitor and memristor.…”

Dynamics of the two-SBT-memristor-based chaotic circuit*

“…In the previous study, the flux-controlled mathematical model with deterministic parameters of the physical SBT memristor was proposed [36,37] as follows:…”

Surface Engineering of Cu2O Photocathodes via Facile Graphene Oxide Decoration for Improved Photoelectrochemical Water Splitting

“…PEC water splitting comprises two distinct half-cell reactions: hydrogen evolution reaction (HER) at the cathode and oxygen evolution reaction (OER) at the anode. 4,5 OER is a four-electron binding reaction, while HER is a two-electron transfer reaction…”

“…Hydrogen energy produced through photoelectrochemical (PEC) water splitting is the most promising method of producing energy from a sustainable clean energy production perspective. , The production of hydrogen via water splitting is an eco-friendly process, and the energy-mass density of hydrogen is greater than that of fossil fuels. PEC water splitting comprises two distinct half-cell reactions: hydrogen evolution reaction (HER) at the cathode and oxygen evolution reaction (OER) at the anode. , OER is a four-electron binding reaction, while HER is a two-electron transfer reaction 2 normalH 2 normalO → normalO 2 + 4 normalH + + 4 normale − 4 normalH + + 4 normale − → 2 normalH 2 PEC cells undergo HER and OER with their respective photoelectrodes in the electrolyte. Many photoelectrode materials, including TiO 2 , − Cu 2 O, − BiVO 4, − Fe 2 O 3 , − and C 3 N 4 , − have been investigated on the basis of these reactions.…”