1 distribucion mas probable el equilibrio de boltzmann ensemble microcanonico
TRANSCRIPT
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Distribucion mas probableEl equilibrio de BoltzmannEnsemble Microcanonico
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Según la clase anterior
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(es un escalar)
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Densidad
( de aquí obtenemos c en terminos de )
( de aquí relacion entre y )
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(equiparticion)
(de aquí )
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(PV=NkT o P=nkT)
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Según la clase anterior
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E+E
E
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p3n
q3N
E+E
E
En espacio
Espacio
Etc.
1 punto en una distribucionen espacio
d=d3p d3q
p3
q3
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(cuan probable es la mas probable? )
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}{!...!
!
!...!
!
21
1
21
iiij
nj
nii
ii
ij
nj
nii
i
nnggnnn
N
gg
Entonces
ggnnn
N
g
ji
ji
(para que sirven los gi )
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Entonces podemos escribir :
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ii
iii
ii
iiii
ii
iiiiiii
i
ii
ii
i
ng
gnn
ng
gnnn
ng
gnnnnng
g
ng
gg
g
2
2
2
}{
}{}{
}{}{}{
}{
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Entonces se van a 0 como N1/2 con N tendiendo a infinito
Luego la MB es completamente dominante en el limite termodinamico
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19arbitrario con t
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a)
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Cuando paso de a) a b)
a)
b)
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Si tomamos en cuenta la dinámica
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(ver siguiente)
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