Boltzman transport equation

The f-coefficient is not amenable to a simple calculation since the knowledge of the neutron temperature and flux in each part of the lattice cell is required. The calculation of the fine flux structure across the cell requires the solution to the Boltzman transport equation. (The FIfiX and MDFDd codes employ the po approximation to the transport equation.) The same is true for the L -coefficient. 

For electrodes with dimensions in the tens of nm range, the diffusion layer is decreased to achieve dimensions comparable with the thickness of the electrical double layer. Electrostatic forces within the double layer can accelerate the flux of oppositely charged redox species, so generating the conditions for a further enhancement of the mass transport to the nanoelectrodes surface. Dickinson and Compton presented numerical solution of the Poisson-Boltzman equation, for... 

The Monte-Carlo simulation of these models reproduces well the charge carrier transport properties in the mesophases, i.e., the mobility independence of both temperature and electric field in the temperature above room temperature, if a small sigma (40 60 meV) is taken for the Gaussian width of the distribution of localized states in Eq. (2.2). In this equation p, is the mobility, a is the Gaussian width of the distributed energy states for hopping sites, E is an index of the positional disorder, k is the Boltzman constant, T is the temperature, E is the electric field and C is a constant. The constants a and n depend on the type of mesophase, e.g., 0.8 and 2 for the SmB phase and 0.78 and 1.5 for the SmE phase, respectively. This value of cr (40-60 meV) is half that for typical amorphous solids [61]. 

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