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news_052611

# news_052611 - E = 1 Z e-E k B T = e-E k B T P i e-E i k B T...

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Stuff for Thursday, May 26, 2011 Quiz #8 tomorrow on T4–T6. Final review sheets up front. Plan for next week (Monday is an OSU holiday) PS #17 due Tuesday; PS #18 due Friday 1094 Session 9 on Wednesday and quiz #9 on Friday All-day office hours MTW of finals week. 1094? Review session? T6, T7 stuff: Entropy S = k b ln Ω , so Ω = e S / k b ; S /∂ U 1 / T defines temperature Boltzmann factor: small quantum system in thermal contact with large heat reservoir = energy exchange at same T Prob

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Unformatted text preview: ( E ) = 1 Z e-E / k B T = e-E / k B T P i e-E i / k B T = ⇒ Pr ( E 2 ) Pr ( E 1 ) = e-( E 2-E 1 ) / k B T = e-Δ E / k B T Maxwell-Boltzmann: Probability of molecule speed v is ∝ e-E / k B T = e-mv 2 / 2 k B T Pr(speed v ± dv / 2) = 4 √ π „ v v P « 2 e-( v / v P ) 2 dv v P where v P ≡ „ 2 k B T m « 1 / 2 Average energy of a quantum system E avg = X n E n Pr ( E n ) = X n E n e-En / k B T / X n e-En / k B T...
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