The Exit Problem: A New Approach to Diffusion Across Potential Barriers

摘要: We consider the problem of a Brownian particle confined in potential well forces, which escapes barrrier as result white noise forces acting on it. The is characterized by diffusion process force field and described Langevin’s stochastic differential equation. wells with many transition states compute expected exit time from probability distribution points. Our method relates these quantities to solutions certain singularly perturbed elliptic boundary value problems are solved asymptotically. results then applied calculation chemical reaction rates considering breaking bonds caused random molecular collisions, matrix crystals atomic migration periodic crystal lattice, thermal vibrations lattice.