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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 gas Bravais lattice calculate chemical constant chemical potential classical statistics closed system coefficient condition consider const corresponding critical point crystal curve degrees of freedom denote density 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 molecule motion normalisation number of particles obtain oscillations partition function perfect gas phase space phase transition phonons pressure properties Quantum Mechanics relation result rotation second-order solid solution specific heat spectrum spin statistical weight substance Substituting subsystem surface symmetry thermodynamic potential thermodynamic quantities total number transition point vanish vapour variables vector velocity vibrational volume wave functions zero