216 citations · 818 across the 38 of their papers we have counts for
3 papers · 1 filter
A Scaling Relation for Dangerously Irrelevant Symmetry-Breaking Fields
Tsuyoshi Okubo, Kosei Oshikawa, Hiroshi Watanabe +1
We propose a scaling relation for critical phenomena in which a symmetry-breaking field is dengerously irrelevant. We confirm its validity on the 6-state clock model in three and f…
Phase-field systems for grain boundary motions under isothermal solidifications
Ken Shirakawa, Hiroshi Watanabe, Noriaki Yamazaki
Two main existence theorems are proved for two nonstandard systems of parabolic initial-boundary value problems. The systems are based on the "-- model" proposed by Kob…
Ostwald Ripening in Multiple-Bubble Nuclei
Hiroshi Watanabe, Masaru Suzuki, Hajime Inaoka +1
The ostwald ripening of bubbles is studied by molecular dynamics simulations involving up to 679 million Lennard-Jones particles. Many bubbles appear after depressurizing a system…