- #1
vuser88
- 14
- 0
i need to show that the average value of the energy is -(1/Z)(dZ/dBeta)= -(d/dBeta)Ln(Z)
where Z is the partition function i know how to do the first part, i don't know how to show this is equal to the derivative w/ respect to beta of lnZ. i think my math is wrong when taking Ln(Z)
Beta = 1/kT
Z= sum over s of { e^ (beta*E(s)) }
any suggestions,
ps i do have the solution from cramster but i don't want to simply copy it because then i will never learn anything
where Z is the partition function i know how to do the first part, i don't know how to show this is equal to the derivative w/ respect to beta of lnZ. i think my math is wrong when taking Ln(Z)
Beta = 1/kT
Z= sum over s of { e^ (beta*E(s)) }
any suggestions,
ps i do have the solution from cramster but i don't want to simply copy it because then i will never learn anything