Review Note
Last Update: 08/18/2023 10:33 PM
Current Deck: Combustion Quals
Published
Fields:
Front
What does ln(Wmax) depend on and where does the derivation come from? Where do alpha and beta come from?
Back
Assuming Boltzmann limit and using Lagrange multipliers to to maximize ln(W)
Constraints are the total energy of the system, and the number of particles (which both must be constant)
Constraints are the total energy of the system, and the number of particles (which both must be constant)
Only depends on macroscopic properties (E,N) and partition function Q (and the constant beta)
Alpha and beta are arbitrary constants defined as a part of the Lagrange undetermeined multipliers method, they are the multipliers
Alpha comes from the constraint on the number of molecules and beta from the total energy
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