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macroscopic_observables_from_kinetic_theory [2014/02/22 17:13]
nikolaj
macroscopic_observables_from_kinetic_theory [2014/02/22 17:14]
nikolaj
Line 14: Line 14:
 | @#AADDEE: $ \langle A \rangle({\bf x},t) \equiv \int\ A({\bf v})\ f({\bf x},{\bf v},t)\ \mathrm d^3v$ |  | @#AADDEE: $ \langle A \rangle({\bf x},t) \equiv \int\ A({\bf v})\ f({\bf x},{\bf v},t)\ \mathrm d^3v$ | 
 | @#AADDEE: $ v({\bf v}):={\bf v} $ | | @#AADDEE: $ v({\bf v}):={\bf v} $ |
 +
 +| @#FFFDDD: $i,​j\in\{1,​2,​3\}$ |
  
 | @#FFBB00: $ n := \langle \mathrm{1} \rangle $ | | @#FFBB00: $ n := \langle \mathrm{1} \rangle $ |
Line 30: Line 32:
 | @#FFBB00: $ e := \rho \frac{1}{2}V^2 $ |  | @#FFBB00: $ e := \rho \frac{1}{2}V^2 $ | 
 | @#FFBB00: $ E := \rho \frac{1}{2}C^2 $ |  | @#FFBB00: $ E := \rho \frac{1}{2}C^2 $ | 
- 
-| @#FFBB00: $ T := E/​\left(\frac{3}{2}n\ k_B\right) $ |  
- 
-| @#FFFDDD: $i,​j\in\{1,​2,​3\}$ | 
  
 | @#FFBB00: $ q_i := \rho \frac{1}{2}\langle v^2\ v_i\rangle $ |  | @#FFBB00: $ q_i := \rho \frac{1}{2}\langle v^2\ v_i\rangle $ | 
 | @#FFBB00: $ Q_i := \rho \frac{1}{2}\langle c^2\ c_i\rangle $ |  | @#FFBB00: $ Q_i := \rho \frac{1}{2}\langle c^2\ c_i\rangle $ | 
 +| @#FFBB00: $ T := E/​\left(\frac{3}{2}n\ k_B\right) $ | 
  
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