Mechanisms of flow‐excited cavity tones at low Math number

Math 784: algebraic NUMBER THEORY

Algebraic Number Theory: • What is it? The goals of the subject include: (i) to use algebraic concepts to deduce information about integers and other rational numbers and (ii) to investigate generalizations of the integers and rational numbers and develop theorems of a more general nature. Although (ii) is certainly of interest, our main point of view for this course will be (i). The focus of t...

Math 788M: Computational Number Theory

Math 104c Number Theory: Notes

Recent Progress in Closed-Loop Control of Cavity Tones

Active flow control of cavity tones has been successful in controlling Rossiter tones in both subsonic and supersonic flows. While closed-loop control promises the lowest actuator power requirements and the ability to adapt to changing flow conditions, so far it has only been demonstrated on subsonic cavities. Suppression of Rossiter tones in supersonic cavities has been demonstrated using open...

Mechanisms of Decoherence at Low Temperatures

We briefly review the oscillator and spin bath models of quantum environments, which can be used to describe the low-energy dynamics of open quantum systems. We then use them to discuss both the mechanisms causing decoherence at low T , and the dynamics of this decoherence. This is done first for a central 2-level system coupled to these environmentsthe results can be applied to the dynamics of...