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Full-Text Articles in 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 …
Exact Results In Model Statistical Systems, Peter H. Kleban
Exact Results In Model Statistical Systems, Peter H. Kleban
University of Maine Office of Research Administration: Grant Reports
This research focuses on the exact study of the statistical mechanics of model systems. Research concentrates on critical percolation in two-dimensions, and important and extensively studied statistical system, and the phase transition of the farey fraction spin chain, a new and interesting one-dimensional model with connections to multifractals and Monte Carol simulations, mathematically exact solutions of model statistical mechanical systems, and techniques from number theory. The goal is to gain new insights into, and understanding of, these systems. An important feature of the project is the use of techniques from pure mathematics and close collaboration with mathematicians.
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 …