Physics · Advanced university
Entropy difference from multiplicity ratio · formula reference
Use the microcanonical equal-a-priori-probability model and a ratio of multiplicities.
Formula
Use the microcanonical equal-a-priori-probability model and a ratio of multiplicities.
ΔS/kB = ln(Ω₂/Ω₁)
Worked example
In a microcanonical model, the multiplicity increases by a factor 236. Find ΔS/kB. Round the final result to 4 decimal places if needed.
S=kB ln Ω, so the difference divided by kB is ln(236).
5.4638
Prerequisites and checking
Algebra, calculus and the stated physical model. Keep units and rounding consistent. State the model conditions before applying the formula.
Further reading and review references
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