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Large-Scale Structure of the Universe : Princeton Series in Physics - Phillip James Edwin Peebles

Large-Scale Structure of the Universe

Princeton Series in Physics

Paperback Published: 21st November 1980
ISBN: 9780691082400
Number Of Pages: 440

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Opinions on the large-scale structure of the early universe range widely from primeval chaos to a well-ordered mass distribution. P.J.E. Peebles argues that the evolution proceeded from a nearly uniform initial state to a progressively more irregular and clumpy universe. The discussion centers on the largest known structures, the clusters of galaxies, the empirical evidence of the nature of the clustering, and the theories of how the clustering evolves in an expanding universe.

In Chapter One the author provides an historical introduction to the subject. Chapter Two contains a survey of methods used to deal with the Newtonian approximation to the theory of the evolution of the mass distribution. Recent progress in the use of statistical measures of the clustering is described in Chapter Three. Chapters Four and Five return to techniques for dealing with cosmic evolution, in the statistical measures of clustering and under general relativity theory. Lastly, in Chapter Six Professor Peebles assesses the progress in attempts to link theory and observation to arrive at a well established physical picture of the nature and evolution of the universe.

Prefacep. xi
Acknowledgmentsp. xv
Homogeneity and Clusteringp. 3
Homogeneity and clusteringp. 3
Is the universe homogeneous?p. 3
Physical principlesp. 11
How did galaxies and clusters of galaxies form?p. 18
Summaryp. 35
Behavior of Irregularities in the Distribution of Matter: Newtonian Approximationp. 37
Newtonian approximationp. 37
Particle dynamics in expanding coordinatesp. 41
The peculiar accelerationp. 43
Two models: the Vlasov equation and the ideal fluidp. 45
Linear perturbation approximation for [delta]p. 49
Solutions for [delta](t): p = [Lambda] = 0p. 51
Solutions for [delta](t): effect of a uniform radiation backgroundp. 56
Solutions for [delta](t): models with [Lambda not equal] 0p. 59
The peculiar velocity fieldp. 63
Joining conditions for [delta] and [upsilon]p. 66
Critical Jeans lengthp. 68
Primeval magnetic field as a source for [delta rho] / [rho]p. 71
Second order perturbation theory for [delta rho] / [rho]p. 74
Spherical modelp. 77
Homogeneous ellipsoid modelp. 86
Caustics and pancakesp. 95
Expansion, vorticity, and shearp. 103
Origin of the rotation of galaxiesp. 107
Cosmic energy equationp. 110
Spherical accretion modelp. 115
Hierarchical clustering modelp. 120
Fourier transform of the equations of motionp. 124
Coupling of density fluctuationsp. 128
n-Point Correlation Functions: Descriptive Statisticsp. 138
Statistical measures of the galaxy distributionp. 138
Fair sample hypothesisp. 142
Two-point spatial correlation function [xi](r)p. 143
Two-point correlation function: another definitionp. 145
Two-point correlation function: Poisson modelp. 147
Three-point correlation functionp. 148
Four-point correlation functionp. 150
Moments of counts of objectsp. 152
Constraints on [xi] and [zeta]p. 156
Probability generating functionp. 158
Estimates of P[subscript N]p. 160
Cluster modelp. 163
Power spectrump. 166
Power law model for the spectrump. 169
Bispectrump. 171
Cross correlation functionp. 172
Angular two-point correlation functionp. 174
Angular power spectrump. 175
Estimating w([theta])p. 183
Statistical uncertainty in the estimate of w([theta])p. 187
Relation between angular and spatial two-point correlation functionsp. 189
Small separation approximation and the scaling relationp. 191
Decoupling of magnitude and positionp. 194
Relation between [xi] and w: some examplesp. 195
Inversion of the equationp. 200
Angular three-point correlation functionp. 203
Angular four-point correlation functionp. 209
Correction for curvature and expansionp. 213
Summary of numerical resultsp. 221
Power spectrum of the extragalactic lightp. 225
Moments of the number of neighborsp. 230
Model for P[subscript N]p. 233
Clustering modelsp. 236
Continuous clustering hierarchy: Mandelbrot's prescriptionp. 243
The mass correlation functionsp. 249
Clustering hierarchy: continuity speculationp. 253
Remarks on the observationsp. 255
Dynamics and Statisticsp. 257
Goalsp. 257
Definitions of variables and distribution functionsp. 258
BBGKY hierarchy equationsp. 259
Fluid limitp. 262
Evolution of the integral of [xi]p. 264
Particle conservation equationsp. 266
Relative peculiar velocity dispersionp. 272
Similarity solutionp. 275
Cosmic energy equationp. 278
Cosmic virial theoremp. 280
Joint distribution in position and velocityp. 284
Behavior of the halo around a cluster of galaxiesp. 291
Superclustersp. 299
Problems and prospectsp. 301
Relativistic Theory of the Behavior of Irregularities in an Expanding World Modelp. 304
Role of the relativistic theoryp. 304
Time-orthogonal coordinatesp. 306
The field equations for h[subscript alpha beta]p. 310
Gravitational wavesp. 312
Newtonian approximationp. 313
Linear perturbation equations for the matterp. 317
Behavior of density perturbations at wavelength [characters not reproducible] ctp. 319
Spherical modelp. 324
Evolution of acoustic wavesp. 330
Nonlinear acoustic wavesp. 333
Incompressible flowp. 341
Behavior of collisionless particlesp. 345
Linear dissipation of adiabatic perturbationsp. 352
Residual fluctuations in the microwave backgroundp. 363
Isothermal perturbationsp. 373
Scenariosp. 379
Nature of the universe at high redshiftp. 379
Nature of protogalaxies and protoclustersp. 384
Appendixp. 395
Models and notationp. 395
List of Abbreviationsp. 401
Referencesp. 402
Indexp. 417
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780691082400
ISBN-10: 0691082405
Series: Princeton Series in Physics
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 440
Published: 21st November 1980
Country of Publication: US
Dimensions (cm): 22.81 x 15.9  x 2.72
Weight (kg): 0.64