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The '''Boltzmann equation''' is given by (Ref.1 Eq 1 Chap. IX) | |||
The '''Boltzmann equation''' is given by ( | |||
:<math>\frac{\partial f_i}{\partial t} = - {\mathbf u}_i \cdot \frac{\partial f_i}{\partial {\mathbf r}} - {\mathbf F}_i \cdot \frac{\partial f_i}{\partial {\mathbf u}_i } + \sum_j C(f_i,f_j) </math> | :<math>\frac{\partial f_i}{\partial t} = - {\mathbf u}_i \cdot \frac{\partial f_i}{\partial {\mathbf r}} - {\mathbf F}_i \cdot \frac{\partial f_i}{\partial {\mathbf u}_i } + \sum_j C(f_i,f_j) </math> | ||
where <math></math> is an external force and the function C() represents binary collisions. | where <math></math> is an external force and the function C() represents binary collisions. | ||
==See also== | ==See also== | ||
*[[H-theorem]] | *[[H-theorem]] | ||
==References== | ==References== | ||
#[http://store.doverpublications.com/0486647412.html Sybren R. De Groot and Peter Mazur "Non-Equilibrium Thermodynamics", Dover Publications] | |||
[[category: non-equilibrium thermodynamics]] | [[category: non-equilibrium thermodynamics]] |