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Introduction and Survey
The FokkerPlanck Equation Approach
6 other sections not shown
applied forces canonical probability density correlation function defined dependence derived described determined diffusion kernels disorganized drift disregard drift vector equations of motion evaluated evolution equations exact equations fluctuation-dissipation theorem fluctuations fluid fluxes Fokker-Planck equation free energy Hamiltonian Hilbert space initial instantaneous interaction introduced ISBN Langevin equations Liouville operator macroscopic evolution laws macroscopic probability density macroscopic variables master equation mean path mean values a(t memory effects molecular expressions nonlinear functions obtain organized drift oscillator particle phase functions phase space Poisson bracket probability density p(t projection operator technique properties ps(t quantities random forces rates of change reduced probability density relations relevant form relevant probability density renormalized transport equations reservoir response tensor right-hand side scopic set of macroscopic stationary statistical mechanics statistical thermodynamics statistical-mechanical stochastic operators temperature thermodynamic forces thermodynamic potential time-dependent transformed to read transport coefficients transport equations transport equations 3.2.12 transport kernels transport laws