Stochastic equations of hydrodynamic theory of plasma are presened. The article shows that for transfer processes in liquid and gas, on the one hand, and in plasma, on the other hand, there exist sets of stochastic differential equations for substantial quantities based on the equality of measures between deterministic motion and random motion. It is shown that the application of these stochastic equations makes it possible to obtain new theoretical solutions for the occurrence of turbulence also for a plasma as a result of its heating in an external electric field instead of only for a classical gas, as it was proved previously. Theoretical solutions for the conductivity of turbulent plasma during its heating in an external electric field are considered. At a first time taking into account the turbulence parameters theoretical relations for the electron drift velocity and corresponding relations for electron mobility, for the frequency of electron collisions, and for the Coulomb integral are obtained. All theoretical relations are applied to calculate the conductivity during the turbulent heating of plasma in an electric field. Here experiments with hydrogen plasma are being considered. The theoretical explanation of the cause for the existence of a constant conductivity in the field of strength \(E = 0.6-19\) V/cm and its fall at \(19<E<100\) V/cm is given. The calculated dependences of plasma conductivity are in satisfactory agreement with experimental data at the electric-field strength in the turbulent region \(E = 0.6-100\) V/cm and in the region \(E < 0.6\) V/cm.The equation for the critical electric-field strength is presented.

提出了等离子体流体动力学理论的随机方程。该文章表明，一方面对于液体和气体中的传递过程，另一方面对于等离子体中的传递过程，存在基于确定性运动和随机运动之间的测度相等的大量随机微分方程组。结果表明，这些随机方程的应用使得可以获得新的理论解决方案，以解决等离子体因在外部电场中加热而产生的湍流，而不仅仅是经典气体，正如已证明的那样之前。考虑了在外部电场中加热期间湍流等离子体的电导率的理论解决方案。首次考虑湍流参数，获得了电子漂移速度的理论关系以及电子迁移率、电子碰撞频率和库仑积分的对应关系。所有理论关系都适用于计算等离子体在电场中湍流加热过程中的电导率。这里正在考虑氢等离子体实验。给出了强度场\(E=0.6-19\)V/cm存在恒定电导率以及在\(19<E<100\)V/cm时电导率下降的原因的理论解释。计算得出的等离子体电导率依赖性与湍流区\(E = 0.6-100\) V/cm 和\(E < 0.6\) V/cm 区电场强度的实验数据非常吻合。给出了临界电场强度的方程。