G Panfilo and P Tavella 2008 Metrologia 45 S108 doi:10.1088/0026-1394/45/6/S16
G Panfilo1 and P Tavella2
Show affiliationsIn this paper we use a mathematical model based on stochastic differential equations to predict the behaviour of atomic clocks. We consider several different cases with deterministic and random signatures and we obtain the best clock prediction together with its uncertainty. The results given by our mathematical model are compared with the results of the traditional method of extrapolating clock behaviour from the past data.
Wyye test our methods using experimental data from caesium and hydrogen masers maintained by the Italian time laboratory (INRIM), showing the good performance of our model.
Issue 6 (December 2008)
Received 15 July 2008, in final form 4 November 2008
Published 5 December 2008
G Panfilo and P Tavella 2008 Metrologia 45 S108
Amlan K Roy and Shih-I Chu 2002 J. Phys. B: At. Mol. Opt. Phys. 35 2075
Damiano Anselmi 2004 Class. Quantum Grav. 21 29
J E Dyson 1976 Phys. Educ. 11 100
Andreas Klümper and Kazumitsu Sakai 2002 J. Phys. A: Math. Gen. 35 2173
Zhenhui Kang et al 2005 Nanotechnology 16 1192
Pavel Kurasov 1996 Inverse Problems 12 295
A C Rose-Innes 1985 Phys. Educ. 20 272
Y Sakamoto et al 1996 J. Phys.: Condens. Matter 8 3399
D Flynn et al 2006 J. Micromech. Microeng. 16 1811