A general method is developed to relate the orientational and angular momentum auto-correlation functions of a vector embedded in the rotating asymmetric top. It is shown that a previous attempt along these lines by Nee and Zwanzig contains an error which is rectified in this paper. The reduction to the free rotor limit is discussed carefully. The continuity equation, whose solution is a time-ordered exponential does not produce an orientational a.c.f. valid at the free rotor limit. This is because in this limit the kinematic relation between orientation and angular velocity is no longer a multiplicative stochastic process.

Cumulant expansion of the orientational auto-correlation function / Ferrario, Mauro; M. W., Evans. - In: ADVANCES IN MOLECULAR RELAXATION AND INTERACTION PROCESSES. - ISSN 0378-4487. - STAMPA. - 19:(1981), pp. 129-143. [10.1016/0378-4487(81)80036-2]

Cumulant expansion of the orientational auto-correlation function

FERRARIO, Mauro;
1981

Abstract

A general method is developed to relate the orientational and angular momentum auto-correlation functions of a vector embedded in the rotating asymmetric top. It is shown that a previous attempt along these lines by Nee and Zwanzig contains an error which is rectified in this paper. The reduction to the free rotor limit is discussed carefully. The continuity equation, whose solution is a time-ordered exponential does not produce an orientational a.c.f. valid at the free rotor limit. This is because in this limit the kinematic relation between orientation and angular velocity is no longer a multiplicative stochastic process.
1981
19
129
143
Cumulant expansion of the orientational auto-correlation function / Ferrario, Mauro; M. W., Evans. - In: ADVANCES IN MOLECULAR RELAXATION AND INTERACTION PROCESSES. - ISSN 0378-4487. - STAMPA. - 19:(1981), pp. 129-143. [10.1016/0378-4487(81)80036-2]
Ferrario, Mauro; M. W., Evans
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

Licenza Creative Commons
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/738872
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2
  • ???jsp.display-item.citation.isi??? 3
social impact