## In Search of Coherence

*Mathias Frisch*

### in Inconsistency, Asymmetry, and Non-Locality: A Philosophical Investigation of Classical Electrodynamics

- Published in print:
- 2005
- Published Online:
- April 2005
- ISBN:
- 9780195172157
- eISBN:
- 9780199835294
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0195172159.003.0003
- Subject:
- Philosophy, Philosophy of Science

This chapter examines equations of motion that are alternatives to the standard Maxwell-Lorentz theory. It argues that there is no consistent and conceptually unproblematic theory that covers ... More

## Foundations of the Mode-Coupling Theory for the Evolution of Glassy Dynamics in Liquids

*Wolfgang Götze*

### in Complex Dynamics of Glass-Forming Liquids: A Mode-Coupling Theory

- Published in print:
- 2008
- Published Online:
- May 2009
- ISBN:
- 9780199235346
- eISBN:
- 9780191715600
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199235346.003.0004
- Subject:
- Physics, Condensed Matter Physics / Materials

In this chapter, mode-coupling equations of motion for a correlation-function description of the dynamics of simple liquids and colloids are derived and their mathematical properties are analysed. ... More

## Equations of Motion in General Relativity

*Hideki Asada, Toshifumi Futamase, and Peter Hogan*

- Published in print:
- 2010
- Published Online:
- January 2011
- ISBN:
- 9780199584109
- eISBN:
- 9780191723421
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199584109.001.0001
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

This book focuses attention on two aspects of equations of motion in general relativity: the motion of extended bodies(stars) and the motion of small black holes. The objective is to offer a guide to ... More

## Introduction

*H. Asada, T. Futamase, and P. A. Hogan*

### in Equations of Motion in General Relativity

- Published in print:
- 2010
- Published Online:
- January 2011
- ISBN:
- 9780199584109
- eISBN:
- 9780191723421
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199584109.003.0001
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

The two themes of the book, equations of motion of extended bodies and equations of motion of small black holes, are motivated historically and scientifically.

## Free systems

*JESPER LÜTZEN*

### in Mechanistic Images in Geometric Form: Heinrich Hertz's 'Principles of Mechanics'

- Published in print:
- 2005
- Published Online:
- January 2010
- ISBN:
- 9780198567370
- eISBN:
- 9780191717925
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198567370.003.0017
- Subject:
- Physics, History of Physics

Heinrich Hertz's strategy for studying the motion of mechanical systems was to deal first with free systems, to which the fundamental law applies, and then with unfree systems considered as ... More

## Three-Part Invention

*Michael Munowitz*

### in Knowing: The Nature of Physical Law

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780195167375
- eISBN:
- 9780199787104
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195167375.003.0004
- Subject:
- Physics, History of Physics

The Moon — caught in an exact balance of attractive and repulsive forces — orbits the Earth with flawless regularity, never faltering. A ball rolls predictably down a slope of a certain grade, always ... More

## Small charged black holes: equations of motion

*H. Asada, T. Futamase, and P. A. Hogan*

### in Equations of Motion in General Relativity

- Published in print:
- 2010
- Published Online:
- January 2011
- ISBN:
- 9780199584109
- eISBN:
- 9780191723421
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199584109.003.0006
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

A small charged black hole moving in external gravitational and electromagnetic fields is useful for presenting our approach to deriving its equations of motion from the Einstein‐Maxwell field ... More

## The Annotated Manuscript

*Hanoch Gutfreund and Jürgen Renn*

### in The Road to Relativity: The History and Meaning of Einstein's "The Foundation of General Relativity", Featuring the Original Manuscript of Einstein's Masterpiece

- Published in print:
- 2017
- Published Online:
- May 2018
- ISBN:
- 9780691175812
- eISBN:
- 9781400865765
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691175812.003.0003
- Subject:
- Physics, History of Physics

This section presents annotations of the manuscript of Albert Einstein's canonical 1916 paper on the general theory of relativity. It begins with a discussion of the foundation of the general theory ... More

## THE CLASSICAL MAGNETIZATION FIELD

*HARRY SUHL*

### in Relaxation Processes in Micromagnetics

- Published in print:
- 2007
- Published Online:
- January 2010
- ISBN:
- 9780198528029
- eISBN:
- 9780191713545
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198528029.003.0001
- Subject:
- Physics, Condensed Matter Physics / Materials

This chapter presents an account of magnetization field as a continuous function of position, governed by classical equations of motion. It discusses equations of motion, damping, and approaching the ... More

## Dynamics of viscous fluids: rheology and parallel flows

*Etienne Guyon, Jean-Pierre Hulin, Luc Petit, and Catalin.D. Mitescu*

### in Physical Hydrodynamics, 2nd Edn

- Published in print:
- 2015
- Published Online:
- March 2015
- ISBN:
- 9780198702443
- eISBN:
- 9780191772153
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198702443.003.0004
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

The dynamics of fluids deals with the relation (the equation of motion of the fluid) between the stresses on the surface of fluid elements, the volume forces and the rate of strain introduced in ... More

## Great Expectations

*Michael Munowitz*

### in Knowing: The Nature of Physical Law

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780195167375
- eISBN:
- 9780199787104
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195167375.003.0001
- Subject:
- Physics, History of Physics

This chapter presents two critical points to bear in mind right from the start: (1) never take for granted the apparent willingness of nature to yield to reason, and (2) never expect to find a ... More

## Equations of motion

### in Advanced General Relativity: Gravity Waves, Spinning Particles, and Black Holes

- Published in print:
- 2013
- Published Online:
- September 2013
- ISBN:
- 9780199680696
- eISBN:
- 9780191760662
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199680696.003.0003
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology

A technique for extracting the relativistic equations of motion of Schwarzschild, Reissner–Nordström, or Kerr particles moving in external fields, from the vacuum Einstein or Einstein–Maxwell field ... More

## Complex Dynamics of Glass-Forming Liquids: A Mode-Coupling Theory

*Wolfgang Götze*

- Published in print:
- 2008
- Published Online:
- May 2009
- ISBN:
- 9780199235346
- eISBN:
- 9780191715600
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199235346.001.0001
- Subject:
- Physics, Condensed Matter Physics / Materials

The book presents a self-contained exposition of the mode-coupling theory for the evolution of glassy dynamics in liquids. This theory is based on polynomial expressions for the correlations of force ... More

## Surprise Endings

*Michael Munowitz*

### in Knowing: The Nature of Physical Law

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780195167375
- eISBN:
- 9780199787104
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195167375.003.0011
- Subject:
- Physics, History of Physics

All throughout nature, there are systems simple in every way that nevertheless behave chaotically and unpredictably: small systems, systems with few interactions, deterministic systems with the most ... More

## Advanced General Relativity: Gravity Waves, Spinning Particles, and Black Holes

*Claude Barrabès and Peter A. Hogan*

- Published in print:
- 2013
- Published Online:
- September 2013
- ISBN:
- 9780199680696
- eISBN:
- 9780191760662
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199680696.001.0001
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology

This book is aimed at students who have completed a final year undergraduate course on general relativity and supplemented it with additional techniques by individual study or in a taught MSc ... More

## The Atomistic Spin Dynamics Equation of Motion

*Olle Eriksson, Anders Bergman, Lars Bergqvist, and Johan Hellsvik*

### in Atomistic Spin Dynamics: Foundations and Applications

- Published in print:
- 2017
- Published Online:
- May 2017
- ISBN:
- 9780198788669
- eISBN:
- 9780191830747
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198788669.003.0004
- Subject:
- Physics, Atomic, Laser, and Optical Physics

From the information obtained in DFT, in particular the magnetic moments and the Heisenberg exchange parameters, one has the possibility to make a connection to atomistic spin-dynamics. In this ... More

## Equations of Motion with Particle–Particle Interactions and Approximations

*Norman J. Morgenstern Horing*

### in Quantum Statistical Field Theory: An Introduction to Schwinger's Variational Method with Green's Function Nanoapplications, Graphene and Superconductivity

- Published in print:
- 2017
- Published Online:
- January 2018
- ISBN:
- 9780198791942
- eISBN:
- 9780191834165
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198791942.003.0008
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

Starting with the equation of motion for the field operator ψ(x,t) of an interacting many-particle system, the n-particle Green’s function (Gn) equation of motion is developed, with interparticle ... More

## The Classical Connection

*John A. Adam*

### in Rays, Waves, and Scattering: Topics in Classical Mathematical Physics

- Published in print:
- 2017
- Published Online:
- May 2018
- ISBN:
- 9780691148373
- eISBN:
- 9781400885404
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691148373.003.0015
- Subject:
- Mathematics, Applied Mathematics

This chapter discusses the relationship between the elegance of the classical Lagrangian and Hamiltonian formulations of mechanics and optics. In physics, action is a mathematical functional which ... More

## The post-Newtonian approximation

*Nathalie Deruelle and Jean-Philippe Uzan*

### in Relativity in Modern Physics

- Published in print:
- 2018
- Published Online:
- October 2018
- ISBN:
- 9780198786399
- eISBN:
- 9780191828669
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198786399.003.0052
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology

This chapter embarks on a study of the two-body problem in general relativity. In other words, it seeks to describe the motion of two compact, self-gravitating bodies which are far-separated and ... More

## The two-body problem and radiative losses

*Nathalie Deruelle and Jean-Philippe Uzan*

### in Relativity in Modern Physics

- Published in print:
- 2018
- Published Online:
- October 2018
- ISBN:
- 9780198786399
- eISBN:
- 9780191828669
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198786399.003.0055
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology

This chapter begins by finding the field created by compact objects in the post-linear approximation of general relativity. The second quadrupole formula is then completely proven. Next, the chapter ... More