116953063
Towards the Development of Monolithic Fused Silica Suspensions for Laser Interferometric Gravitational Wave Detectors
122531753
GEO 600. A 600 m Laser Interferometric Gravitational Wave Antenna
122634723
THERMAL MOTION ASSOCIATED WITH MONOLITHIC FUSED SILICA CRADLE SUSPENSIONS FOR GRAVITATIONAL WAVE DETECTORS
Abstract A finite-element analysis of a monolithic fused silica cradle suspension is presented. In particular the level of thermal motion of this design is evaluated with regard to employing such a novel suspension in an interferometric gravitational wave detector.
119765553
Q FACTOR MEASUREMENTS ON PROTOTYPE FUSED QUARTZ PENDULUM SUSPENSIONS FOR USE IN GRAVITATIONAL WAVE DETECTORS
Abstract This paper describes measurements of the pendulum mode Q factors of prototype fused quartz test mass suspensions for use in interferometric gravitational wave detectors. Pendulums were constructed using bobs of masses ranging from approximately 12 g to 1.9 kg suspended by cylindrical fibres of standard fused quartz and Q factors obtained greater than 10 7 .
124784845
An investigation of coupled resonances in materials suitable for test masses in gravitational wave detectors
Abstract We report our findings concerning mode coupling, observed during quality factor measurements, in a sample of columnar polycrystalline silicon. This coupling and that produced by an external agent in a sample of aluminium have been investigated using a vibration pattern imager. The coupling in the aluminium has been modelled using an equivalent circuit.
120418382
Fluctuations and the Boltzmann equation. I
The evolution of a homogeneous dilute gas is treated as a Markov process in the complete set of $K$ coarsegrained velocity states of all $N$ particles. From the Siegert master equation for the process a Fokker-Planck equation is derived which describes, in the limit $N\ensuremath{\rightarrow}\ensuremath{\infty}$, the fluctuations in the occupation numbers ${n}_{i}(t)$, whose average behavior is governed by the (appropriately discretized) Boltzmann equation: The continuum limit $K\ensuremath{\rightarrow}\ensuremath{\infty}$ corresponds to fluctuations in the usual molecular distribution function $f(\stackrel{\ensuremath{\rightarrow}}{\mathrm{r}}\stackrel{\ensuremath{\rightarrow}}{\mathrm{v}};t)$. On similar reasoning, a Fokker-Planck equation is obtained for the fluctuation process near equilibrium, where the average is governed by the linearized Boltzmann equation. The theory of linear irreversible processes, which offers a statistical description of fluctuations on a thermodynamical basis, is applied to the linearized Boltzmann equation\char22{}treated as a linear phenomenological equation\char22{}following the development given recently by Fox and Uhlenbeck: The resulting stochastic equation is seen to be equivalent to the Fokker-Planck equation obtained from the master equation, yielding a multidimensional Ornstein-Uhlenbeck process which describes the fluctuations in molecular phase space.