Chaos in the solid state

Abstract

The regular and chaotic motion of a channeled particle and an above-barrier particle in an averaged two dimensional potential of a crystal have been studied. The Henon-Heiles potential, which is close to the channel potential of silicon crystal, has been investigated. Poincare surfaces of section for various energy value were calculated, and subsequently periodic orbits were systematically obtained. Poincare surfaces of section were shown in figures. The diamond shaped potential being fairly close to the channel potential of diamond crystal has been investigated. The behaviors of periodic orbits were shown in figures.

結晶の2次元平均ポテンシャルにおけるチャネルド粒子および障壁上粒子の規則的運動およびカオス運動を研究した。シリコン結晶のチャネルポテンシャルに類似のHenon-Heilesポテンシャルを検討した。種々のエネルギー値に対する断面のポアンカレ面を計算し、続いて系統的に周期軌道を算出した。断面のポアンカレ面を図に示した。ダイアモンド結晶のチャネルポテンシャルに類似のダイアモンド形ポテンシャルを検討した。周期軌道の挙動を図に表した。