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Transcript of Boltzmann.pdf
7/21/2019 Boltzmann.pdf
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N
U ∗
i
i U R
U R = U ∗ − i
i
N
gR(U R)
U R
i
U R = U ∗ − i
gR
P i
i
i gT
P i = gR(U R)
gT = CgR(U ∗ − i)
C = 1/gT
log [gR(U ∗ − i)]
U ∗
i
log [gR(U ∗ − i)] ≈ log [gR(U ∗)]− i
∂
∂U Rlog [gR(U R)]
U ∗
β = 1/kT
β =
∂ log gR∂U
V,N
= 1
gR
∂gR∂U
V,N
log [gR(U ∗ − i)] = log [gR(U ∗)] − βi
gR(U ∗ − i) = gR(U ∗)e−βi
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P i
P i = CgR(U ∗)e−βi = Ae−βi
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