Transportul neutronilor

Transportul neutronilor este esential pentru operarea reactoarelor nucleare. Se reda prin ecuatiile:

$\frac{1}{v(E)}\frac{\partial\psi(\mathbf{r},E,\mathbf{\hat{\Omega}},t)}{\partial t}+\mathbf{\hat{\Omega}}\cdot\nabla\psi(\mathbf{r},E,\mathbf{\hat{\Omega}},t)+\Sigma_t(\mathbf{r},E,t)\,\psi(\mathbf{r},E,\mathbf{\hat{\Omega}},t)=\quad$

$\quad\frac{\chi_p \left( E \right)}{4\pi}\int_0^{\infty} dE^{\prime}\nu_p \left( E^{\prime} \right) \Sigma_f \left(\mathbf{r}, E^{\prime}, t \right) \phi \left( \mathbf{r}, E^{\prime}, t \right) + \sum_{i=1}^N \frac{\chi_{di}\left( E \right)}{4\pi} \lambda_i C_i \left( \mathbf{r}, t \right)+\quad$

$\quad\int_{4\pi}d\Omega^\prime\int^{\infty}_{0}dE^\prime\,\Sigma_s(\mathbf{r},E^\prime\rightarrow E,\mathbf{\hat{\Omega}}^\prime\rightarrow \mathbf{\hat{\Omega}},t)\psi(\mathbf{r},E^\prime,\mathbf{\hat{\Omega}^\prime},t)+s(\mathbf{r},E,\mathbf{\hat{\Omega}},t)$

Fundamentare

Ecuatia de transport a neutronilor se bazează pe ecuatia lui Boltzmann din teoria cinetică a gazelor.

Vezi si

Reactor nuclear