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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >Coarsely grained stochastic Boltzmann equation and its moment equations
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Coarsely grained stochastic Boltzmann equation and its moment equations

机译：粗粒随机玻尔兹曼方程及其矩方程

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摘要

The stochastic Boltzmann equation is coarsely grained. The coarsely grained stochastic (CGS) Boltzmann equation has fluctuating terms in its collision term. On the basis of the CGS Boltzmann equation, reduced Grad's 26 moment equations are derived. Coarsely grained moment equations obtained from the CGS Boltzmann equation show that fluctuating terms remain as nonvanishing terms owing to the nonlinearity in the collision term of the CGS Boltzmann equation. The NavierStokesFourier law obtained using the CGS Boltzmann equation indicates that the pressure deviator and heat flux include fluctuations of their one-order higher moments.
机译：随机的玻耳兹曼方程是粗糙的。粗粒度随机（CGS）Boltzmann方程的碰撞项具有波动项。基于CGS玻尔兹曼方程，推导了简化的Grad的26矩方程。从CGS Boltzmann方程获得的粗粒度矩方程表明，由于CGS Boltzmann方程的碰撞项具有非线性，因此波动项仍保持不变。使用CGS玻尔兹曼方程获得的NavierStokesFourier定律表明，压力偏差和热通量包括其一阶较高矩的波动。

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