http://arxiv.org/abs/1912.11177
In linear stability analysis of field quantities described by partial differential equations, the well-established classical theory is all but impossible to apply to concrete problems in its entirety even for uniform backgrounds when the spatial dimension is more than 1. In this study, using the Lefschetz thimble method, we develop a new formalism to give an explicit expression to the asymptotic behavior of linear perturbations. It is not only more mathematically rigorous than the previous theory but also useful practically in its applications to realistic problems, and, as such, has an impact on broad subjects in physics.
T. Morinaga and S. Yamada
Wed, 31 Mar 2021
62/62
Comments: 10 pages, 18 figures, accepted for publication in Physical Review Research