Statistical and Thermal Physics: Probabilities and statistics, thermodynamics, and classical statistical mechanics |
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adiabatic average Boltzmann equation calculated canonical momenta canonical variables Carnot cycle coefficients collision constant coordinates and momenta correlated walks d³p d³r defined derived differential dimensions discussed dxdp dynamical entropy equal equations of motion equilibrium evolution equation expression fluid follows Gibbs free energy given Hamilton's equations Hamiltonian Hamiltonian mechanics ideal gas integral isothermal kinetic energy Lagrangian Let us consider linear Liouville equation macroscopic mass Maxwell velocity distribution momentum normal modes number density number of molecules number of particles obtain odd functions P₁ P₂ particles moving phase space Poisson brackets present section pressure probability of finding Problem properties Q₂ quantity relation represented reservoir reversible shown in Figure statistical mechanics string system-point T₂ temperature theorem thermal thermodynamic transformation V₁ vapor vector volume ан ар арк ат ах ӘР др ду