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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


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