Maximum Entropy Closure of Balance Equations for Miniband Semiconductor Superlattices
نویسندگان
چکیده
منابع مشابه
Maximum Entropy Closure of Balance Equations for Miniband Semiconductor Superlattices
Charge transport in nanosized electronic systems is described by semiclassical or quantum kinetic equations that are often costly to solve numerically and difficult to reduce systematically to macroscopic balance equations for densities, currents, temperatures and other moments of macroscopic variables. The maximum entropy principle can be used to close the system of equations for the moments b...
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where ci is the D-dimensional vector of the ith link, and i 1, . . . , b. The right-hand side of Eq. (1) is the LBGK collision integral Di , the function N eq i is the local equilibrium, and v $ 0 is a dimensionless parameter. As the state of the lattice is updated long enough, the dynamics of Ni becomes governed by macroscopic equations for a finite system of local averages. Depending on the...
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ژورنال
عنوان ژورنال: Entropy
سال: 2016
ISSN: 1099-4300
DOI: 10.3390/e18070260