2nd Week: Properties of Astrophysical Plasmas B: Difference between revisions
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(New page: ==Occupation probabilities== The 1st law of Thermodynamics in a system (or subsystem) with variable number of particles is <math>dE=TdS-PdV+\mu dN</math>) |
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==Occupation probabilities== | ==Occupation probabilities== | ||
The 1st law of Thermodynamics in a system (or subsystem) with variable number of particles is | The 1st law of Thermodynamics in a system (or subsystem) with variable number of particles is | ||
<math>dE=TdS-PdV+\mu dN</math> | <math>dE=TdS-PdV+\mu dN</math> | ||
... | |||
=Fermi-Dirac= | |||
Suppose that our system has discrete energies and that <math>n_k</math> is the number of particles occupying the energy level <math>E_k</math>. Since we are dealing with fermions, <math>n_k</math> can be 0 or 1. The thermodynamic potential can be written as | |||
<math>\Omega=-T\sum_{k} \log (\sum_{n_k}\exp{\mu-E_k})</math> | |||
Revision as of 01:10, 29 January 2009
Occupation probabilities
The 1st law of Thermodynamics in a system (or subsystem) with variable number of particles is
...
Fermi-Dirac
Suppose that our system has discrete energies and that is the number of particles occupying the energy level . Since we are dealing with fermions, can be 0 or 1. The thermodynamic potential can be written as
