Statistical Physics: Nonequilibrium statistical mechanics

approximation assumed Boltzmann Boltzmann equation Brownian motion Brownian particle calculated characteristic function coefficient collision complex admittance condition correlation function corresponding defined denotes density matrix derived diagrams dielectric function diffusion displacement distribution function dynamical electric electrons equation of motion evolution example expression external field Fokker-Planck equation frequency Gaussian Green's function H₁ Hamiltonian integral interaction k₁ kinetic Langevin equation limit Liouville Liouville equation magnetic Markovian process microscopic molecules obtained operator P₁ particle line perturbation Phys problem quantal quantity quantum random force random variables relaxation function response function right-hand side satisfies Sect spectral function stationary statistical mechanics statistical physics stochastic process sum rules t₁ t₂ temperature Green's function theorem theory thermodynamic tion vector velocity w₁ zero μν ди др дх