From the 1 of 5 linked papers with an AI index.
5 papers
Front Selection Is Not Determined by Renormalization-Group Stability
Ko Okumura
The Fisher--Kolmogorov--Petrovsky--Piskunov equation provides a paradigmatic example of front propagation and asymptotic-state selection. Using a unified renormalization-group (RG)…
Memory Retention and the Classification of Renormalization-Group Fixed Points in Self-Similar Dynamics
Ko Okumura
The paper uses a renormalization‑group framework to show that in certain self‑similar diffusion processes, information about the initial condition can remain relevant at long times…
Predictive Renormalization-Group Theory of Universality Classes in Nonlinear Systems
Ko Okumura
Universal scaling behavior appears across a wide range of nonlinear systems despite substantial differences in their governing equations and physical mechanisms. We develop a renor…
Partial persistence of memory in bubble breakup: incomplete universality acquired by broken symmetry
Ikumi Yoshino, Ko Okumura
When a water drop falls from a faucet, the drop is created with the formation of an axisymmetric constriction region, which thins down to breakup. Such formation of a fluid drop ha…
Breakup to non-breakup transition of air entrained into viscous liquid by a disk: analogy of the self-similar dynamics with critical phenomena
Shoko Ii, Ko Okumura
Self-similarity in partial differential equations has been widely exploited to study many phenomena in physical sciences. We have studied the interfacial dynamics when air is entra…