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5.2
Establishing a "transport formula"
∫∫ ∑
Ω =′
′
→′
Ω
=Φ′
′
Φ⋅
σ −Φ⋅
σ+ Φ∇Ω
E
1
3
1j
j
1 j
1 att 1
E1
Q dEd
,
, ,
r
∫∫ ∑
Ω =′
′
→′
Ω
=Φ′
′
Φ⋅
σ −Φ⋅
σ+ Φ∇Ω
E
2
3
1j
j
2 j
2 att 2
E2
Q dEd
,
, ,
r
These set of equation are well known as
Boltzmann transport equation
which are based on the conservation of particles in space.
41
∫∫ ∑
Ω =′
′
→′
Ω
=Φ′
′
Φ⋅
σ −Φ⋅
σ+ Φ∇Ω
E
3
3
1j
j
3 j
3 att 3
E3
Q dEd
,
, ,
r