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Abelian Gauge Theories

in** Quantum Field Theory and Critical Phenomena**

June 2002; p ublished online January 2010 .

Chapter. Subjects: Mathematical and Statistical Physics. 12905 words.

This chapter focuses on abelian gauge theory, whose physical realization is Quantum Electrodynamics (QED). The chapter is organized as follows. It begins with elementary considerations...

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Accounting for all parts (subgraphs)

in** The Structure of Complex Networks**

October 2011; p ublished online December 2013 .

Chapter. Subjects: Mathematical and Statistical Physics. 7558 words.

This chapter examines the concept of invariants aimed at characterising the global subgraph structure of a network. The discussions cover functions of adjacency matrix, such as the Estrada...

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Accuracy of the multipole expansion applied to a sphere in a creeping flow parallel to a wall

in** The Quarterly Journal of Mechanics and Applied Mathematics**

November 2006; p ublished online November 2006 .

Journal Article. Subjects: Applied Mathematics; Mathematical and Statistical Physics. 6446 words.

An example system is studied to discuss precision of the multipole expansion, applied to determine forces exerted on particles by a viscous low-Reynolds-number fluid flow. A single sphere...

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Acoustic diffraction by a semi-infinite plane with different face impedances

in** The Quarterly Journal of Mechanics and Applied Mathematics**

September 1999; p ublished online September 1999 .

Journal Article. Subjects: Applied Mathematics; Mathematical and Statistical Physics. 0 words.

The problem of plane wave scattering by a half-plane with different impedance boundary conditions on each face is examined using the Wiener-Hopf-Hilbert technique. For the special case where...

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Acoustic quasi-modes in slowly varying cylindrical tubes

in** The Quarterly Journal of Mechanics and Applied Mathematics**

August 2005; p ublished online August 2005 .

Journal Article. Subjects: Applied Mathematics; Mathematical and Statistical Physics. 0 words.

Guided wave propagation in slowly varying elastic bars is of increasing importance in the non-destructive evaluation of structures. This paper develops an asymptotic theory for the simpler...

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Acoustic Radiation Properties of an Elastic Plate with an Infinite Baffle and Cavity

in** The Quarterly Journal of Mechanics and Applied Mathematics**

November 2002; p ublished online November 2002 .

Journal Article. Subjects: Applied Mathematics; Mathematical and Statistical Physics. 0 words.

A cavity (0 < *x* < *a*, 0 < *y* < *b*, −*d* < *z* < 0) set in an otherwise rigid plane surface (*z* = 0) is covered by a rectangular elastic plate (of dimensions *a* × *b*) that is simply supported at its...

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Acoustic scattering by a pair of poroelastic spheres

in** The Quarterly Journal of Mechanics and Applied Mathematics**

February 2004; p ublished online February 2004 .

Journal Article. Subjects: Applied Mathematics; Mathematical and Statistical Physics. 0 words.

An exact analysis for sound scattering by two interacting fluid‐saturated porous‐elastic spheres that are insonified by plane waves at arbitrary angles of incidence is outlined. The novel...

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Acoustic scattering from semi-infinite, rigid plates: a new technique

in** The Quarterly Journal of Mechanics and Applied Mathematics**

May 1999; p ublished online May 1999 .

Journal Article. Subjects: Applied Mathematics; Mathematical and Statistical Physics. 0 words.

A plane sound wave is obliquely incident on a semi-infinite, rigid plate (which may or may not have finite thickness). This problem has been studied previously, but it is thought that the...

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Activated switching in nonlinear micromechanical resonators

in** Fluctuating Nonlinear Oscillators**

July 2012; p ublished online September 2012 .

Chapter. Subjects: Mathematical and Statistical Physics. 16508 words.

This chapter reviews a series of experiments on Gaussian noise-induced switching in nonlinear micromechanical torsional resonators that are periodically driven into multistability, a system...

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Active cloaking of inclusions for flexural waves in thin elastic plates

in** The Quarterly Journal of Mechanics and Applied Mathematics**

August 2015; p ublished online June 2015 .

Journal Article. Subjects: Applied Mathematics; Mathematical and Statistical Physics. 6500 words.

We present a new method to create an active cloak for a single clamped inclusion in a Kirchhoff plate in the presence of flexural waves. In order to cloak this inclusion, we place control...