Aiming at the phenomenon that the gradients of temperature and particle density are bigger in the breaking process of small current for SF6 circuit breaker

this paper has conducted a study on the non-equilibrium plasma dual temperature arc model. Considering the contribution of electron-ion-neutral particle collision frequency and collision cross-section

the plasma conductivity as a function of temperature and pressure can be obtained

and then the non-equilibrium dual-temperature arc model for small capacity current is built. Based on the established arc model

the research results are applied to the calculation of post- arc dielectric recovery characteristic of small capacitive current for a 126 kV SF6 circuit breaker

and the results differ from that calculated under equilibrium conditions. This arc model provides a new method for the numerical calculation of non-equilibrium small current and the research achievements are of great significance to perfect the theory of electric arc.