Kramers theory in the relaxation dynamics of a tilted asymmetric periodic potential

Takaaki Monnai*, Ayumu Sugita, Katsuhiro Nakamura

*この研究の対応する著者

研究成果: Article査読

5 被引用数 (Scopus)

抄録

We investigate the low-temperature relaxation dynamics toward a nonequilibrium steady state in a tilted asymmetric periodic potential based on the WKB analysis and the numerical diagonalization of the Fokker-Planck operator. Due to the tilting, the Fokker-Planck operator, and thus the Schrödinger operator associated with it, are non-Hermitian. Therefore, we evaluate the decay rate based on the WKB analysis both for real- and complex-valued eigenvalues. In the tilting range where the double-humped barrier exists, the decay rate is shown to obey a law which is a subtle nonequilibrium extension of the so-called Kramers escape rate. The decay rate for the single-humped barrier case is analyzed as well. The large tilting regime where the barriers no longer exist is also investigated.

本文言語English
論文番号031140
ジャーナルPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
76
3
DOI
出版ステータスPublished - 2007 9 28

ASJC Scopus subject areas

  • 物理学および天文学(全般)
  • 凝縮系物理学
  • 統計物理学および非線形物理学
  • 数理物理学

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