Comment on bounds on time-correlation functions via the infinite-order maclaurin expansion

✍ Scribed by J.C. Wheeler

• Book ID: 103018302
• Publisher: Elsevier Science
• Year: 1981
• Tongue: English
• Weight: 243 KB
• Volume: 82
• Category: Article
• ISSN: 0009-2614
• DOI: 10.1016/0009-2614(81)85135-4

✦ Synopsis

The method recently proposed by Allen and Diestler for obtainmg bounds to time-autocorrelation functions is not (as claimed by the authors) equivalent to the method of Piatz and Gordon, nor does it provide bounds at all times. It is instead equivalent to the method of Cukier and Nheeler based on gaussian quadratures. The quadratures are preferable to the approximate summation of the Ma&win series.

Recently Allen and Diestler [l] (AD) have proposed a method for obtaining bounds on classical equilibrium time-autocorrelation

functions (TACFs) by summation of an approximation to the Maclaurin expansion. They assert that their method is equivalent to the earlier method by PIatz and Gordon [2] (PC) and present a method for obtaining estimates to higherorder moments from earlier moments.