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Classical entropy as phase space volume

by elemental09
Tags: classical, entropy, phase, space, volume
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elemental09
#1
Feb13-12, 07:28 PM
P: 40
The entropy of a classical system of N particles is normally (see e.g. Huang p.131) defined as the k_b times the natural log of the volume of phase space accessible to the system.
My question is: how can we take the logarithm of the phase space volume, when the volume has units? For N particles, the phase space volume has units [mass]^3N*[distance]^6N*[time]^(-3N).
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