Helium three / E.R. Dobbs.

Format:

Book

Author/Creator:

Dobbs, Roland, 1924-2016.

Contributor:

Class of 1891 Department of Arts Fund.

Series:

International series of monographs on physics ; v. 108.

International series of monographs on physics ; 108

Language:

English

Subjects (All):

Liquid helium.

Helium--Isotopes.

Helium.

Quantum liquids.

Physical Description:

xxiv, 1057 pages : illustrations ; 24 cm.

Place of Publication:

Oxford ; New York : Oxford University Press, 2000.

Contents:

1.1 Quantum solids and liquids 1

1.2 Fermi gas and liquid 5

1.3 Superfluid 9

1.4 Magnetic solid 11

Part I Liquid Helium 3 15

2 Fermi gas 17

2.1 The perfect Fermi gas 17

2.2 The equation of state 22

2.3 Thermal properties 24

2.4 Transport properties 28

2.5 Magnetic properties 31

2.6 Acoustical properties 35

3 Fermi liquid in equilibrium 38

3.1 Landau's theory 38

3.2 Landau parameters 40

3.3 Equilibrium properties 44

4 Transport properties 55

4.1 Theoretical 55

4.2 Thermal conductivity 62

4.3 Viscosity 65

4.4 Spin diffusion 73

4.5 Spin-lattice relaxation time, T[subscript 1] 78

5 Collective modes 82

5.1 Landau theory 82

5.2 Longitudinal sound and zero sound 86

5.3 Transverse sound and zero sound 96

5.4 Landau parameter, F[superscript s][subscript 2] 103

5.5 Spin zero-sound modes 105

6 Motion of particles 106

6.1 Motion of ions 106

6.2 Negative ion 111

6.3 Positive ion 113

6.4 Neutron scattering 116

6.5 Scattering by photons 128

7 Further theories 133

7.1 Ground-state theories 133

7.2 Elementary excitation theories 142

7.3 Model theories 146

8 Surfaces and interfaces 153

8.1 Restricted geometry 153

8.2 Surface tension 161

8.3 Nucleation 165

8.4 Thermal boundary resistance 169

8.5 Wetting transitions 171

8.6 Thin films 173

9 Spin-polarized liquid 176

9.2 Theories 178

9.3 Polarization methods 183

9.4 Measurements on polarized liquid 188

Part II Mixtures of [superscript 3]He and [superscript 4]He 205

10 Basic properties 207

10.2 Effective quasiparticle interaction 214

10.3 Molar volumes and the phase diagram 217

10.4 Chemical potential and osmotic pressure 222

10.5 Propagation of sound 226

10.6 Quasiparticle energy spectrum and interaction 229

10.7 Microscopic theory 233

10.8 Heat capacity and effective mass 243

10.9 Magnetic susceptibility 249

10.10 Phase separation and solubility 251

11 Acoustic and temperature waves 253

11.1 First sound 253

11.2 Velocity of second sound 259

11.3 Attenuation of second sound 263

11.4 Oscillating superleak transducers 267

11.5 Brillouin scattering 270

12 Transport properties 275

12.1 Theoretical 275

12.2 Viscosity measurements 282

12.3 Thermal measurements 295

12.4 Diffusion 307

12.5 Lambda line behaviour 311

13 Neutron and photon scattering 312

13.1 Excitation spectrum 312

13.2 Structure properties 318

13.3 Kinetic energy and condensate fraction 324

14 Theory of spin-polarized solutions 328

14.1 Polarized Fermi gas 328

14.2 Model theories 330

14.3 Equilibrium properties 332

14.4 Transport properties 332

14.5 Spin dynamics 334

15 Properties of spin-polarized solutions 340

15.1 Second sound 340

15.2 Viscosity 341

15.3 Spin dynamics of dilute solutions 345

15.4 Spin dynamics of denser solutions 353

15.5 Multiple spin echoes 357

15.6 Domain structure 360

15.7 Methods for high polarization 362

16 Low-dimensional structures 372

16.1 Two-dimensional Fermi fluid 372

16.2 Substrate structures 375

16.3 Heat capacity of mixture films 377

16.4 Third sound 383

16.5 Nuclear magnetic resonance 392

16.6 Surface superfluidity 405

17 Interfaces 410

17.1 Interfacial tension 410

17.2 Aerogel effects 411

17.3 Wetting and non-wetting 417

17.4 Nucleation 425

18 Solutions of [superscript 4]He in [superscript 3]He 434

18.2 Basic properties 435

18.3 Recent developments 437

19 Search for superfluidity in mixtures 448

19.1 Theoretical 448

19.2 Experimental 454

Part III Superfluid Helium 3 461

20 Basic properties 463

20.1 Thermal properties 463

20.2 Magnetic properties 468

20.3 Superfluidity 472

20.4 Acoustical properties 473

20.5 Rotating superfluid 476

21 BCS superfluids 481

21.1 BCS theory of superfluidity 481

21.2 Ginzburg-Landau theory 488

21.3 Extended BCS theory 490

21.4 Triplet states 497

21.5 Multiple states 502

21.6 The A and B phases 506

22 Multiple phases 509

22.1 Magnetic phase diagram 509

22.2 A[subscript 1] and A[subscript 2] phases 516

22.3 Strong coupling effects 521

23 Superfluidity 533

23.1 Quantized circulation in the B phase 533

23.2 Landau's criterion in the B phase 536

23.3 Supercurrents in the B phase 539

23.4 Critical velocities in the B phase 542

23.5 Critical currents in the B phase 544

23.6 Textures in the A phase 549

23.7 Flow experiments in the A phase 556

23.8 Supercurrents in the A phase 563

23.9 Critical currents in the A phase 563

24 Magnetic resonance properties 567

24.1 Orientational effects 567

24.2 Non-linear effects 571

24.3 Textural effects in the A phase 576

24.4 Textural effects in the B phase 580

24.5 Spin waves 586

24.6 Spin relaxation 592

24.7 Spin supercurrents 600

25 Collective modes 613

25.1 Classification of resonances 613

25.2 B phase spectroscopy 624

25.3 A phase spectroscopy 643

26 Hydrodynamics 650

26.1 Superfluid density 650

26.2 Viscosity 654

26.3 Thermal conductivity 661

26.4 Spin diffusion 661

26.5 Motion of ions 664

27 Surfaces and interfaces 670

27.1 Boundary scattering 670

27.2 Quasiparticle dynamics 677

27.3 Josephson effect 686

27.4 Aerogel effects 693

27.5 Thin films 699

27.6 AB interface 705

28 Rotating superfluid 716

28.1 Vortices 716

28.2 B phase in rotation 720

28.3 A phase in rotation 737

28.4 Cosmology 750

Part IV Solid Helium 3 755

29 Quantum crystal 757

29.1 Phase diagram 757

29.2 Thermal properties 765

29.3 Solid [superscript 3]He-[superscript 4]He mixtures 781

30 Lattice dynamics 790

30.1 Interatomic potentials 790

30.2 Theories of solid helium 795

30.3 Ground-state properties 802

30.4 Elastic and thermal properties 809

30.5 Phonon spectra 813

31 Paramagnetism 822

32 Antiferromagnetism in the b.c.c. phase 832

32.1 Discovery 832

32.2 Low-field phase 837

32.3 Multiple phases 845

32.4 Multiple exchange model 854

33 Ferromagnetism in the h.c.p. phase 864

34 Crystal shapes and defects 873

34.1 Crystal growth 873

34.2 Vacancies 894

34.3 Spin polarons and magnons 902

34.4 Dislocations 911

35 Low-dimensional structures 917

35.1 Phase diagram 917

35.2 First layer 929

35.3 Second layer 938

35.4 Multilayers 957.

Notes:

Includes bibliographical references (pages [970]-1016) and indexes.

Local Notes:

Acquired for the Penn Libraries with assistance from the Class of 1891 Department of Arts Fund.

ISBN:

0198506406

OCLC:

44509379