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THE BASIC PRINCIPLES OF STATISTICAL PHYSICS 1 Statistical distribution
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adiabatic adiabatic process angular momentum assume atoms axis Boltzmann Bose Bravais lattice calculate chemical potential classical statistics closed system coefficient condition consider const constant corresponding critical point crystal degrees of freedom denote density density matrix derivative determined differentials distribution function electron element energy levels entropy equal equation expansion expression external fact Fermi Fermi gas fluctuations formula free energy frequency gases Gibbs distribution given Hence identical integral interaction kinetic energy liquid macroscopic body matrix maximum mean value molecules motion normalisation number of particles obtain oscillator partition function perfect gas phase space phase transition phonons pressure probability distribution properties Quantum Mechanics relation result rotation solid solution specific heat spectrum spin statistical weight substance Substituting subsystem surface symmetry thermodynamic potential thermodynamic quantities total number transformation transition point vanish vapour variables vector velocity vibrations volume wave functions