Relaxation and Steady-State Entropy Production for Langevin SPDEs: A Dirichlet-Form Approach
We develop a Dirichlet-form framework for relaxation and steady-state entropy production in preconditioned Langevin stochastic partial differential equations. In infinite dimensions, the usual Fokker--Planck calculations based on ambient Lebesgue densities and the corresponding probability-current densities are general...