Alternate And Interaction Between Two Temperature Ising Model Of Stochastic Resonance

Vibration phenomenon is a widespread natural phenomenon. It can be divided into deterministic and random vibration of two categories. Deterministic vibration can be described with a clear mathematical relationship. Vibration meeting the following two characteristics called stochastic resonance. The first characteristic is the non-repetitive and unpredictable. The second characteristic of this vibration has a certain statistical regularity. It can use the theory of stochastic processes to describe. This paper studied the interaction of changes in the ising model and two-temperature ising model. The amplitude of the total magnetic moment variation with frequency as the phenomenon of stochastic resonance. The temperature corresponding to the maximum total magnetic moment is resonance temperature.This article first introduces the related physical quantities of the one dismensional ising model. It introduces the research methods and results of stochastic resonance in one-dimensional ferromagnetic chain and antiferrom--agnetic chain.Then,discuss of the nature of correlation function of alternately interacting one-dimensional ising model in the equilibrium. Obtained the law of the correlation function varies with temperature:The system temperature is higher, the smaller the correlation function. The strength of the interaction, both arithmetic increase or ranging from poor to increase the value of The correlation function have increased. And then discuss the stochastic resonance phenomenon,found:for the same frequency,interaction the smaller, the resonance temperature is lower. For the same interaction, the lower frequency,resonance phenomenon is more obvious, the lower the temperature resonance.Finally,discuss of the nature of two-temperature one-dimensional ising model in the steady-state:Correlation function decreases with the increase of difference of temperature, and the definition of the ferromagnetic state and antiferromagnetic state. And then discuss the stochastic resonance, found:For the same frequency, the greater the temperature difference, the smaller the correlation function, the resonance temperature is lower. For the same frequency, low-frequency resonance temperature is relatively low, the resonance phenomenon is obvious.