phy1004 thermal physics
phy1004 thermal physics
phy1004 thermal physics
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<strong>phy1004</strong>W<br />
Thermal Physics<br />
IG-09<br />
A formula for the number of microstates<br />
number of microstates with q quanta divided<br />
amongst N oscillators<br />
gets very big very fast!<br />
For q = 100 and N = 300, Ω = . . . = 1.7 × 10 96<br />
Probability that all 100 quanta are on oscillator<br />
number 3 is<br />
P(0, 0, 100, 0, . . . , 0) = 1/ Ω ≈ 0.6 × 10 −96<br />
Not impossible, but VERY unlikely!!<br />
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