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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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Absence of localisation in ocean wave interactions with a rough seabed in intermediate water depth

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

February 2015; p ublished online December 2014 .

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

The possibility of a rough seabed causing localisation of ocean waves in intermediate water depth is considered. A numerical and analytical study of the localisation phenomenon is conducted...

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Acceleration and Force

in** The Elements of Relativity**

June 2018; p ublished online August 2018 .

Chapter. Subjects: Astronomy and Astrophysics; Mathematical and Statistical Physics. 4561 words.

This chapter develops crucial distinctions between constant‐velocity (also called inertial) frames of reference and accelerating ones. Inertial frames respect Newton’s first law—objects...

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Acceleration Kernel

in** Nonlocal Gravity**

May 2017; p ublished online July 2017 .

Chapter. Subjects: Astronomy and Astrophysics; Mathematical and Statistical Physics. 14108 words.

The phenomenon of spin-rotation coupling provides the key to the determination of the kernel. Imagine an observer rotating in the positive sense about the direction of propagation of an...

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Acceleration-Induced Nonlocality

in** Nonlocal Gravity**

May 2017; p ublished online July 2017 .

Chapter. Subjects: Astronomy and Astrophysics; Mathematical and Statistical Physics. 10600 words.

The locality postulate of the standard relativity theory is exact when dealing with phenomena involving classical point particles and rays of radiation, but breaks down for electromagnetic...

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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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Acids, bases and buffer solutions

in** Modern Thermodynamics for Chemists and Biochemists**

June 2018; p ublished online August 2018 .

Chapter. Subjects: Mathematical and Statistical Physics. 18779 words.

Many reactions in solution involve acids and bases, and so this chapter examines these important reactions in detail. Topics covered include the ionisation of water, pH, pOH, acids and...

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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...