The dynamic behavior of calcium ion oscillations was investigated when noise was injected to the system located in a steady state and an oscillatory state,respectively.It was found that noise can contribute to phenomenon of implicit or explicit internal stochastic resonance(IISR or EISR),and that distance to bifurcation point was a key factor for controlling IISR or EISR.Then an external signal was added to the system,the result shows that IISR or EISR can not occur,implying an external signal destroys the cooperation of internal signal and noise.Furthermore,the difference and the similarity were discussed between IISR and EISR.
The hydrogen abstraction reactions by ozone from fluoromethanes(CH3F, CH2F2) are the most suitable processes for modeling and testing methodologies that could be applied to larger molecules or to the complete reaction kinetic schemes for the degradation of HFCs. We presented a theoretical study of the hydrogen abstraction reactions from CH3F and CH2F2 by ozone molecule. The geometries, harmonic vibrational frequencies of all stationary points were calculated at MPW1K level of the theory. The energies of all the stationary points were refined by using higher-level(denoted as HL) energy calculations. The minimum energy paths(MEPs) were obtained by the MPW1K/6-31+G(d,p) level. Energetic information of the points along the MEPs is further refined by HL method. The rate constants were evaluated on the basis of the MEPs from the HL level of theory in the temperature range of 200—2500 K with the conventional transition state theory(TST), the canonical variational transition state theory(CVT) and the microcanonical variational transition state theory(μVT) based on the ab initio calculations. A general agreement was found among the TST, CVT, and μVT theories. The fitted three-parameter Arrhenius expressions of the calculated forward CVT/SCT, and μVT/Eckart rate constants of the ozonolysis of fluoromethane are kCVT/SCT(T)=2.76×10-34 T 5.81 e(-13975/T) and kμVT/Eckart(T)=1.15×10-34 T 5.97 e(-14530.7/T), respectively. The fitted three-parameter Arrhenius expressions of the calculated forward CVT/SCT, and μVT/Eckart rate constants of the ozonolysis of difluoromethane are kCVT/SCT(T)=2.29×10-36 T 6.42 e(-15451.6/T) and kμVT/Eckart(T)=1.31×10-36 T 6.45 e(-15465.8/T), respectively.
The influence of distributed delay coupling on Turing pattern in reaction diffusion system was investigated. Numerical-simulation results proved that the distributed delay of the coupling can significantly influence the spatiotemporal property,even the stable dynamic of the system.The local distributed coupling can spatially orient the pattern at an appropriate coupling strength.
