How Do You Calculate the Multiplicity of a Two-Dimensional Ideal Monatomic Gas?

Thread starter jlmac2001
Start date Feb 9, 2004
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Gas multiplicity

AI Thread Summary

The discussion focuses on calculating the multiplicity of a two-dimensional ideal monatomic gas. A formula was proposed, initially stated as 1/N!(A^N/h3N)(pi^3N/2/3N/2)!(sqrt(2mU))^3N, but identified as incorrect. The correct formula for the multiplicity is given as [(1/N!)*((A*pi)^N)*(2MU)^N]/ (h^2N)*(N!). The conversation emphasizes the importance of accurately representing the parameters involved in the calculation. Understanding these formulas is crucial for studying the statistical mechanics of gases in reduced dimensions.

Feb 9, 2004

jlmac2001

Consider an ideal monatomic gas that lives in a two-dimensional universe ("flatland"), occupying an area A instead of a volume V. Find a formula for the multiplicity of this gas.

I arrived at this formula. Is it correct?:

1/N!(A^N/h3N)(pi^3N/2/3N/2)!(sqrt(2mU))^3N

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Feb 10, 2012

solar nebula

its wrong:

it should be
[(1/N!)*((A*pi)^N)*(2MU)^N]/ (h^2N)*(N!)

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