The entropy of a system can be expressed in terms of the distribution function as Prove that,

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The entropy of a system can be expressed in terms of the distribution function as

Prove that, for a Maxwellian distribution function, the entropy satisfies the following thermodynamic relations:

where N is the total number of particles in the system, V is the total volume, and E = 3NkT/2 is the total energy.

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