Ideal gas is normal system

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aliases: [Ideal gas is normal]
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created: 2022-06-01 15:33:38
modified: 2022-06-01 15:44:58

Let's consider an ideal gas in 3 dimensions with its usual Hamiltonian function (see Hamiltonian of ideal gas), with particles. Its number of states is, based off of number of states of 3 dimensional ideal gas is:

Let's take this expression's logarithm and use Stirling's formula:

Where the green part is a homogeneous function of and .


The ideal gas is a normal system!