Array-enhanced Logical Stochastic Resonance in Coupled Bistable Systems

Enhanced logical chaotic resonance

It was demonstrated recently that logical chaotic resonance (LCR) can be observed in a bistable system. In other words, the system can operate robustly as a specific logic gate in an optimal window of chaotic signal intensity. Here, we report that the size of the optimal window of chaotic signal intensity can be remarkably extended by exploiting the constructive interaction of chaotic signal and periodic force, as well as coupling, in a coupled bistable system. In addition, medium-frequency periodic force and an increasing system size can also lead to an improvement in the response speed of logic devices. The results are corroborated by circuit experiments. Taken together, a reliable and rapid-response logic operation can be realized based on periodic force- and array-enhanced LCR.

Theoretical research on the charge transport properties of imidazoles axial-coordinated with protoheme molecule

The charge transport properties and the stability of imidazoles with axial-coordinated protoheme molecules have been investigated by the density functional theory (DFT) at B3LYP/6-31[Formula: see text]G(d) level. With energy of each compound, we find that all heme Fe[Formula: see text] and Fe[Formula: see text] complex compounds axially coordinate the imidazoles by strong field in low-spin state. Meanwhile, binding energies were calculated, the structure feature and the frontier orbital distribution of complex compounds were also analyzed. On the basis of Marcus theory, the reorganization energy, matrix element and charge transport rate constant were calculated. The results show that the charge transport rate of the complex compound coordinated imidazole is greater than that of the complex compound coordinated 2-methyl imidazole, which indicates that the charge transfer between the imidazole and the heme iron is more favorable to the heme iron than the 2-methyl imidazole. The results are in good agreement with the experimental ones obtained by Battistuzzi.

Implementation of dynamic dual input multiple output logic gate via resonance in globally coupled Duffing oscillators

We have used a system of globally coupled double-well Duffing oscillators under an enhanced resonance condition to design and implement Dual Input Multiple Output (DIMO) logic gates. In order to enhance the resonance, the first oscillator in the globally coupled system alone is excited by two forces out of which one acts as a driving force and the other will be either sub-harmonic or super-harmonic in nature. We report that for an appropriate coupling strength, the second force coherently drives and enhances not only the amplitude of the weak first force to all the coupled systems but also drives and propagates the digital signals if any given to the first system. We then numerically confirm the propagation of any digital signal or square wave without any attenuation under an enhanced resonance condition for an amplitude greater than a threshold value. Further, we extend this idea for computing various logical operations and succeed in designing theoretically DIMO logic gates such as AND/NAND, OR/NOR gates with globally coupled systems.