emob2p
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Hi,
I'm taking a course in Stat Mach using Kerson and Huang's Statistical Mechanics book. I am quite confused with their treatment of a Gibbsian Ensemble. They say imagine an infinite copies of the same system whose state can be represented by a point in phase space. Then [tex]\rho (p,q,t) = d^{3N}p d^{3N}q[/tex] is the number of representative points contained in the infinitesimal volume. So if we integrate this over allowed p's and q's, we should get infinity because we started out w/ an infinite number of total systems. Can this be correct?
I'm taking a course in Stat Mach using Kerson and Huang's Statistical Mechanics book. I am quite confused with their treatment of a Gibbsian Ensemble. They say imagine an infinite copies of the same system whose state can be represented by a point in phase space. Then [tex]\rho (p,q,t) = d^{3N}p d^{3N}q[/tex] is the number of representative points contained in the infinitesimal volume. So if we integrate this over allowed p's and q's, we should get infinity because we started out w/ an infinite number of total systems. Can this be correct?
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