Revisiting the Mazur bound and the Suzuki equality

Abhishek Dhar, Aritra Kundu, Keiji Saito

研究成果: Article査読

2 被引用数 (Scopus)

抄録

Among the few known rigorous results for time-dependent equilibrium correlations, important for understanding transport properties, are the Mazur bound and the Suzuki equality. The Mazur inequality gives a lower bound, on the long-time average of the time-dependent auto-correlation function of observables, in terms of equilibrium correlation functions involving conserved quantities. On the other hand, Suzuki proposes an exact equality for quantum systems. In this paper, we discuss the relation between the two results and in particular, look for the analogue of the Suzuki result for classical systems. This requires us to examine as to what constitutes a complete set of conserved quantities required to saturate the Mazur bound. We present analytic arguments as well as illustrative numerical results from a number of different systems. Our examples include systems with few degrees of freedom as well as many-particle integrable models, both free and interacting.

本文言語English
論文番号110618
ジャーナルChaos, Solitons and Fractals
144
DOI
出版ステータスPublished - 2021 3

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 数学 (全般)
  • 物理学および天文学(全般)
  • 応用数学

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