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Statistical, Nonlinear, and Soft Matter Physics Commons™
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Full-Text Articles in Statistical, Nonlinear, and Soft Matter Physics
Displacement Detection With A Vibrating Rf Superconducting Interference Device: Beating The Standard Linear Limit, Eyal Buks, Stav Zaitsev, Eran Segev, Baleegh Abdo, M. P. Blencowe
Displacement Detection With A Vibrating Rf Superconducting Interference Device: Beating The Standard Linear Limit, Eyal Buks, Stav Zaitsev, Eran Segev, Baleegh Abdo, M. P. Blencowe
Dartmouth Scholarship
We study a configuration for displacement detection consisting of a nanomechanical resonator coupled to both a radio frequency superconducting interference device and to a superconducting stripline resonator. We employ an adiabatic approximation and rotating wave approximation and calculate the displacement sensitivity. We study the performance of such a displacement detector when the stripline resonator is driven into a region of nonlinear oscillations. In this region the system exhibits noise squeezing in the output signal when homodyne detection is employed for readout. We show that displacement sensitivity of the device in this region may exceed the upper bound imposed upon the …
Entopic Lattice Boltzmann Representations Required To Recover Navier Stokes Flows, Brian Keating, George Vahala, Jeffrey Yepez, Min Soe, Linda L. Vahala
Entopic Lattice Boltzmann Representations Required To Recover Navier Stokes Flows, Brian Keating, George Vahala, Jeffrey Yepez, Min Soe, Linda L. Vahala
Electrical & Computer Engineering Faculty Publications
There are two disparate formulations of the entropic lattice Boltzmann scheme: one of these theories revolves around the analog of the discrete Boltzmann H function of standard extensive statistical mechanics, while the other revolves around the nonextensive Tsallis entropy. It is shown here that it is the nonenforcement of the pressure tensor moment constraints that lead to extremizations of entropy resulting in Tsallis-like forms. However, with the imposition of the pressure tensor moment constraint, as is fundamentally necessary for the recovery of the Navier-Stokes equations, it is proved that the entropy function must be of the discrete Boltzmann form. Three-dimensional …