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MHD Flows in Compact Astrophysical Objects: Accretion, Winds and Jets 2010 ed. [Kietas viršelis]

  • Formatas: Hardback, 425 pages, aukštis x plotis: 235x155 mm, weight: 834 g, 81 Illustrations, black and white; XVIII, 425 p. 81 illus., 1 Hardback
  • Serija: Astronomy and Astrophysics Library
  • Išleidimo metai: 10-Dec-2009
  • Leidėjas: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 3642012892
  • ISBN-13: 9783642012891
Kitos knygos pagal šią temą:
  • Formatas: Hardback, 425 pages, aukštis x plotis: 235x155 mm, weight: 834 g, 81 Illustrations, black and white; XVIII, 425 p. 81 illus., 1 Hardback
  • Serija: Astronomy and Astrophysics Library
  • Išleidimo metai: 10-Dec-2009
  • Leidėjas: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 3642012892
  • ISBN-13: 9783642012891
Kitos knygos pagal šią temą:
Offers introduction to the method of the Grad-Shafranov equation, describing the class of hydrodynamical and MHD flows. This book features examples of hydrodynamical accretion onto relativistic and nonrelativistic objects. It discusses the problems of jet collimation and particle acceleration in Active Galactic Nuclei and Young Stellar Objects.

Accretion flows, winds and jets of compact astrophysical objects and stars are generally described within the framework of hydrodynamical and magnetohydrodynamical (MHD) flows. Analytical analysis of the problem provides profound physical insights, which are essential for interpreting and understanding the results of numerical simulations. Providing such a physical understanding of MHD Flows in Compact Astrophysical Objects is the main goal of this book, which is an updated translation of a successful Russian graduate textbook. The book provides the first detailed introduction into the method of the Grad-Shafranov equation, describing analytically the very broad class of hydrodynamical and MHD flows. It starts with the classical examples of hydrodynamical accretion onto relativistic and nonrelativistic objects. The force-free limit of the Grad-Shafranov equation allows us to analyze in detail the physics of the magnetospheres of radio pulsars and black holes, including the Blandford-Znajek process of energy extraction from a rotating black hole immersed in an external magnetic field. Finally, on the basis of the full MHD version of the Grad-Shafranov equation the author discusses the problems of jet collimation and particle acceleration in Active Galactic Nuclei, radio pulsars, and Young Stellar Objects. The comparison of the analytical results with numerical simulations demonstrates their good agreement. Assuming that the reader is familiar with the basic physical and mathematical concepts of General Relativity, the author uses the 3+1 split approach which allows the formulation of all results in terms of physically clear language of three dimensional vectors. The book contains detailed derivations of equations, numerous exercises, and an extensive bibliography. It therefore serves as both an introductory text for graduate students and a valuable reference work for researchers in the field.



This text provides profound physical insights into our understanding of accretion flows, winds and jets of compact astrophysical objects and stars. It contains the first detailed introduction into the method of Grad-Shafranov equation.

Recenzijos

From the reviews:

The volume primarily addresses the Grad-Shafranov approach to describe axisymmetric stationary flows around astrophysical objects, including ones where General Relativity is important. Each chapter has an abstract and an introduction to the kinds of sources to which its equations apply. the astrophysics-group able to make more use of it than I can. (Viginia Trimble, The Observatory, Vol. 130 (1214), June, 2010)

Introduction 1
1 Hydrodynamical Limit—Classical Problems of Accretion and Ejection 5
1.1 Astrophysical Introduction—Accretion onto Compact Objects
6
1.1.1 Accretion Disks
6
1.1.2 Standard Model
10
1.1.3 ADAF, ADIOS, etc
13
1.2 Main Properties of Transonic Hydrodynamical Flows
15
1.2.1 Basic Equations
15
1.2.2 Spherically Symmetric Flow
17
1.2.3 Potential Plane Flow
21
1.3 Nonrelativistic Axisymmetric Stationary Flows
28
1.3.1 Basic Equations
28
1.3.2 Mathematical Intermezzo—the Covariant Approach
30
1.3.3 Two-Dimensional Flow Structure
31
1.3.4 Bondi–Hoyle Accretion
40
1.3.5 Outflow from a Slowly Rotating Star
44
1.4 Axisymmetric Stationary Flows in the Vicinity of a Black Hole
53
1.4.1 Physical Intermezzo—(3 1)-Splitting in the Kerr Metric
53
1.4.2 Basic Equations
57
1.4.3 Exact Solutions
63
1.4.4 Bondi–Hoyle Accretion—The Relativistic Regime
66
1.4.5 Accretion onto a Slowly Rotating Black Hole
69
1.4.6 Accretion of Matter with Small Angular Momentum
71
1.4.7 Thin Transonic Disk
77
1.5 Conclusion
88
2 Force-Free Approximation—The Magnetosphere of Radio Pulsars 89
2.1 Astrophysical Introduction
89
2.2 Basic Physical Processes
93
2.2.1 Vacuum Approximation
93
2.2.2 Particle Generation in the Strong Magnetic Field
98
2.2.3 Magnetosphere Structure
101
2.3 Secondary Plasma Generation
105
2.3.1 "Inner Gap"
105
2.3.2 Neutron Star Surface
110
2.3.3 Propagation of y-Quanta in the Superstrong Magnetic Field
111
2.3.4 General Relativity Effects
112
2.3.5 Particle Generation in the Magnetosphere
114
2.3.6 "Hollow Cone" Model
116
2.3.7 Secondary Plasma Generation—"Outer Gap"
120
2.4 Pulsar Equation
120
2.4.1 Force-Free Approximation. The Magnetization Parameter
120
2.4.2 Integrals of Motion
122
2.4.3 Grad–Shafranov Equation
125
2.4.4 Mathematical Intermezzo—Quasistationary Formalism
128
2.5 Energy Losses of Radio Pulsars
131
2.5.1 Current Loss Mechanism
131
2.5.2 Slowing Down of Inclined and Orthogonal Rotators
135
2.6 Magnetosphere Structure
143
2.6.1 Exact Solutions
143
2.6.2 Magnetosphere Structure with Longitudinal Currents
162
2.6.3 Magnetosphere Models
169
2.7 Conclusion
175
3 Force-Free Approximation—The Black Hole Magnetosphere 177
3.1 Astrophysical Introduction—The Central Engine in Active Galactic Nuclei
177
3.1.1 Possible Mechanisms of Black Hole Formation
177
3.1.2 Nature of Activity and Variability
180
3.1.3 Magnetized Accretion Disk
181
3.1.4 Regular Magnetic Field Generation
183
3.2 Basic Equations
186
3.2.1 (3 1)-Splitting for the Electromagnetic Field
186
3.2.2 "No Hair" Theorem
188
3.2.3 Vacuum Approximation
191
3.2.4 Force-Free Grad–Shafranov Equation in the Kerr Metric
196
3.2.5 Particle Generation
201
3.3 Energy Release Mechanism
203
3.3.1 Blandford–Znajek Process
203
3.3.2 Physical Intermezzo—Black Hole Thermodynamics
207
3.4 Black Hole Magnetosphere Structure
210
3.4.1 General Properties
210
3.4.2 Exact Solutions
211
3.4.3 Magnetosphere Models
219
3.5 Conclusion
224
4 Full MILD Version—General Properties 227
4.1 Physical Introduction—Magnetohydrodynamic Waves
227
4.2 Relativistic Flows in the Kerr Metric
232
4.2.1 Integrals of Motion
232
4.2.2 Singular Surfaces
237
4.2.3 Grad–Shafranov Equation
241
4.3 Special Cases
244
4.3.1 Nonrelativistic Flows
244
4.3.2 Anisotropic Pressure
248
4.4 General Properties
252
4.4.1 Some Useful Relations
252
4.4.2 Alfven Surface
256
4.4.3 Fast Magnetosonic Surface—Relativistic Flows
258
4.4.4 Fast Magnetosonic Surface—Nonrelativistic Flows
266
4.4.5 Behavior of the Solution at Large Distances
272
4.4.6 Behavior of the Solution in the Vicinity of the Horizon
279
5 Full MILD Version—Particle Acceleration and Collimation 285
5.1 Astrophysical Introduction
285
5.1.1 Radio Pulsars
285
5.1.2 Active Galactic Nuclei
289
5.1.3 Young Stellar Objects
293
5.1.4 Microquasars, Cosmological Gamma-Bursters, etc.
296
5.2 Cylindrical Flows
298
5.2.1 Cylindrical Jets—The Force-Free Approximation
298
5.2.2 Relativistic Jets
303
5.2.3 Nonrelativistic Jets
319
5.2.4 General Properties and Application
325
5.3 Cold Quasimonopole Outflows
327
5.3.1 Relativistic Slowly Rotating Outflows
327
5.3.2 Relativistic Outflows with Differential Rotation
331
5.3.3 Nonrelativistic Slowly Rotating Outflows
334
5.3.4 Relativistic Fast-Rotating Outflow
336
5.3.5 Relativistic Outflow in the Parabolic Magnetic Field
342
5.3.6 General Properties
346
5.4 Black Hole Magnetosphere
347
5.4.1 Slowly Rotating Black Hole Surrounded by a Thin Disk
347
5.4.2 Slowly Rotating Black Hole Surrounded by a Rotating Shell
355
5.5 Other Methods
360
5.5.1 Analysis of the Algebraic Relations
360
5.5.2 Self-Similar Solutions
364
5.5.3 Computational Results
371
5.6 Conclusion
379
6 Conclusion 381
A From Euler to Grad–Shafranov—The Simplest Way 385
B Nonrelativistic Force-Free Grad–Shafranov Equation 387
C Part-Time Job Pulsars 389
D Special Functions 391
D.1 Legendre Polynomials
391
D.2 Bessel Functions
392
D.3 Hypergeometric Function
393
E List of Symbols 395
References 401
Index 423