Statistical theory of spin relaxation and diffusion in solids

Journal of Low Temperature Physics

Volumn 143, Issue 5-6, 2006, Pages 213-256

  Kuzemsky, A L ^a  

^a JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

Author keywords

Dilute alloys; Kinetic equation; Nonequilibrium statistical operator; Nuclear spin relaxation and diffusion; Spin temperature; Transport processes

Indexed keywords

DIFFUSION; KINETIC THEORY; MAGNETIC RELAXATION; PERTURBATION TECHNIQUES; STATISTICAL MECHANICS; TEMPERATURE; TRANSPORT PROPERTIES;

DILUTE ALLOYS; KINETIC EQUATION; NONEQUILIBRIUM STATISTICAL OPERATOR (NSO); NUCLEAR MAGNETIC MOMENT; NUCLEAR MAGNETIC RELAXATION; SPIN RELAXATION; SPIN TEMPERATURE;

SOLIDS;

EID: 33750698209     PISSN: 00222291     EISSN: 15737357     Source Type: Journal    
DOI: 10.1007/s10909-006-9219-3     Document Type: Article

References (119)

1. Casimir H.B.G and F. K. Du Pre, (1937). Physica 5, 507
2. Casimir H.B.G, (1939). Physica 6, 156
3. Bloch F, (1946). Phys. Rev. 70, 460
4. Gorter C.J, (1947). Paramagnetic Relaxation. Elsevier Amsterdam, New York
5. Bloembergen N, (1949). Physica 15, 386
6. Kubo R, Tomita K, (1954). J. Phys. Soc. Jpn 9, 888
7. Redfield A.G, (1956). Phys. Rev. 101, 67
8. Redfield A.G, (1957). IBM J. Res. Develop. 1, 19
9. Redfield A.G, (1959). Phys. Rev. 116, 315
10. Hebel L.C, Slichter C.P, (1959). Phys. Rev. 113: 1504
11. Caspers W.J, (1960). Physica 26, 778-798
12. Sher A, Primakoff H, (1960). Phys. Rev. 119, 178
13. Sher A, Primakoff H, (1963). Phys. Rev. 130: 1267
14. Bloembergen N, (1961). Nuclear Magnetic Relaxation. W. A. Benjamin, New York
15. Klauder J.R, Anderson P.W, (1962). Phys. Rev. 125, 912
16. Korringa J, (1964). Phys. Rev. 133: A1228
17. Korringa J, Motchane J.L, Papon P, Yoshimori A, (1964). Phys. Rev. 133: A1230
18. Stenholm S, ter Haar D., (1966). Physica 32: 1361
19. Caspers W.J, (1964). Theory of Spin Relaxation. Interscience Publication, New York
20. Strombothe R.L, Hanh E.L, (1964). Phys. Rev. 133: A1616
21. Argyres P.N, in Proc. Eindhoven Conf. on Magnetic and Electric Resonance and Relaxation, Smidt J, eds., North-Holland, Amsterdam, (1963), p. 555.
22. Argyres P.N, Kelley P.L, (1964). Phys. Rev. 134, A98
23. Buishvili L.L, Zubarev D.N, (1965). Solid State Phys, 7, 722
24. Sauermann G, (1966). Physica 32: 2017
25. Redfield A.G, In: Advance Magnetic Resonance, Waugh J.S eds., Academic Press, New York (1966), Vol. 1, p.1.
26. Lowe L.J, Gade S, (1967). Phys. Rev. 156, 817
27. Robertson B (1967). Phys. Rev. 153, 391
28. Jeener J, in Advance Magnetic Resonance, Waugh J.S eds., Academic Press, New York (1968), Vol. 3, p.206.
29. Moran P.R, (1969). J. Phys. Chem. Solids, 30, 297
30. Meyer H, Myers S.M, Remeika J.P, (1969). J. Phys. Chem. Solids, 30: 2687
31. Meyer H, Myers S.M, Remeika J.P, (1971). J. Phys. Chem. Solids, 32, 867
32. Goldman M, (1970). Spin Temperature and Nuclear Magnetic Resonance in Solids. Oxford University Press, Oxford New York
33. Abragam A, (1961). Principles of Nuclear Magnetism. Oxford University Press, Oxford
34. Wolf D, (1979). Spin-temperature and Nuclear-spin Relaxation in Matter. Oxford University Press, Oxford New York
35. Slichter C.P, (1980). Principles of Magnetic Resonance. Springer, Berlin
36. Ehnholm G.J, Ekström J.P., Jacquinot J.F, Loponen M.J, Lounasmaa O.V, Soini J.K, (1980). J. Low Temp. Phys. 39, 417
37. Abragam A, Goldman M, (1982). Nuclear Magnetism: Order and Disorder. Oxford University Press, Oxford New York
38. Boutis G.S, Greenbaum D, Cho H, Gory D.G, Ramanathan C, (2004). Phys. Rev. Lett. 92: 137201
39. Rhim W.K, Pines A, Waugh J.S, (1970). Phys. Rev. Lett. 25, 218
40. Buishvili L.L, (1965). Zh. Exp. Th. Phys., 49: 1868
41. Buishvili L.L, (1965). Solid State Phys, 7: 1871
42. Bendiashvili N.S, Buishvili L.L, Zviadadze M.D, (1966). Solid State Phys. 8: 2919
43. Buishvili L.L, Zviadadze M.D, (1967). Phys.Lett. A 25, 86
44. Buishvili L.L, Zviadadze M.D, (1968). Solid State Phys. 10: 2553
45. Borckmans P and Walgraef D, in Proc. XV Colloque Ampere, North-Holland, Amsterdam (1969), p. 418.
46. Buishvili L.L, Giorgadze N.P, (1969). Dokl Akad Nauk SSSR 189, 508
47. Buishvili L.L, Zviadadze M.D, Khutsishvili G.R, (1969). Zh. Exp. Th. Phys., 56, 290
48. Buishvili L.L, Giorgadze N.P, (1970). Solid State Phys 12: 1817
49. Bendiashvili N.S, Buishvili L.L, Zviadadze M.D, (1970). Zh. Exp. Th. Phys., 58, 597
50. Buishvili L.L, Giorgadze N.P (1970). Dokl Acad Nauk SSSR 191, 58
51. Fazleev N.G, (1979). Sov. J. Low Temp. Phys. 5, 181
52. Fazleev N.G, (1980). Sov. J. Low Temp. Phys. 6, 693
53. Tayurskii D, (1989). Phys. Stat. Sol. B 162, 545
54. Nigmatullin R, Tayurskii D, (1991). Physica A 175, 275
55. Romero-Rochin V., Orsky A, Oppenheim I, (1989). Physica A 156, 244
56. Grandy W.T, Foundations of Statistical Mechanics: Equilibrium Theory, D. Reidel Publishing Doddrecht, Holland (1987), Vol. 1.
57. Grandy W.T, Foundations of Statistical Mechanics: Nonequilibrium Phenomena, D. Reidel Publishing (Doddrecht Holland, (1988), Vol. 2
58. Toda M, Kubo R and Saito N, Statistical Physics: Equilibrium Statistical Mechanics, Springer Publishing Berlin, (1992), Vol. 1.
59. Kubo R, Toda M, Hashitsume N, Statistical Physics: Nonequilibrium Statistical Mechanics, Springer Publishig Berlin, (1991), Vol. 2.
60. Zubarev D.N, (1974). Nonequilibrium Statistical Thermodynamics. Consultant Bureau, New York
61. McLennan J.A (1989). Introduction to Nonequilibrium Statistical Mechanics. Prentice Hall, New Jersey
62. Zwanzig R, (2001). Nonequilibrium Statistical Mechanics. Oxford University Press, Oxford New York
63. Lebowitz J.L, (1999). Physica A 263, 516
64. Kuzemsky A.L, Intern. J. Modern Phys. B 19, 1029 (2005) (cond-mat/ 0502194).
65. Bogoliubov N.N, in Studies in Statistical Mechanics, J. de Boer and Uhlenbeck G.E, eds., North-Holland, Amsterdam, (1962), Vol. 1, p.1.
66. Bogoliubov N.N, On the stochastic processes in the dynamical systems", Communications E17-10514, JINR, Dubna (1977).
67. Onyszkiewicz Z, (1987). Physica A 143, 287
68. Gell-Mann M., Goldberger M.L, (1953). Phys. Rev. 91, 398
69. Bogoliubov N.N, Quasi-averages in the problems of statistical mechanics, Communications D-781, JINR, Dubna (1961).
70. van Hove L., (1957). Physica 23, 411
71. Zwanzig R, (1964). Physica 30: 1109
72. Fulinski A, Kramarczyk W.J, (1968). Physica 39, 575
73. Pokrowsky L.A, (1968). Dokl Acad Nauk SSSR 183, 806
74. Cukier R.I, Deutch J.M, (1969). J. Chem. Phys. 50, 36
75. Hubbard P, (1961). Rev. Mod. Phys. 33, 249
76. Khutsishvili G.R, Usp. Fiz. Nauk. 87, 211 (1965); Sov. Phys. Uspekhi, 8, 743 (1966).
77. Khutsishvili G.R (1972). Comment Solid State Phys. 5, 23
78. Morse P.M, Feshbach H, (1953). Methods of Theoretical Physics. McGraw-Hill Book Co., New York
79. Arfken G, (1985). Mathematical Methods for Physicists. Academic Press, New York
80. Stark J.P, (1976). Solid State Diffusion. Wiley, New York
81. Blumberg W.E, (1960). Phys. Rev. 119, 79
82. Rigney D.A, Flynn C.P, (1967). Phil. Mag. 15: 1213
83. Hirschkoff E.C, Symko O.G, Wheatley J.C, (1971). J. Low Temp. Phys. 5, 155
84. Peters J.J, Flynn C.P, (1972). Phys. Rev. B 6: 3343
85. Yoshida K, Moriya T, (1956). J. Phys. Soc. Jpn 11, 33
86. Kohn W, Vosko S.H, (1960). Phys. Rev. 119, 912
87. Walker M.B, (1968). Phys. Rev. 176, 432
88. Giovannini B, Heeger A.J, (1969). Helv. Phys. Acta 42, 639
89. Solyom J, (1970). Z. Phys. 238, 195
90. Walker M.B, (1970). Phys. Rev. B 1: 3690
91. Giovannini B, Pincus P, Gladstone G, Heeger A.J, (1971). J. Physique 32: C1-163
92. Zitkova-Wilcox J., (1973). Solid State Commun. 12: 1109
93. Nozieres P, (1974). J. Low Temp. Phys. 17, 31
94. Bloembergen N, Rowland T.J, (1953). Acta Metall. 1, 731
95. Bloembergen N, Rowland T.J, (1955). Phys. Rev. 97: 1679
96. Rowland T.J, (1960). Phys. Rev. 119, 900
97. Streever R.L, (1964). Phys. Rev. 134: A1612
98. Clough S, Goldburg W.I, (1966). J. Chem. Phys. 45: 4080
99. Asik J.R, Ball M.A, and Slichter C.P, in Magnetic Resonance and Relaxation, Proc. XIV Colloque Ampere, Ljubljana, 1966 R. Blinc, eds., North-Holland, Amsterdam (1967), p. 448.
100. Lumpkin O.J, (1967). Phys. Rev. 164, 324
101. Gossard A.C, Heeger A.J, Wernick J.H, (1967). J. Appl. Phys. 38: 1251
102. Walstedt R.E, Sherwood R.C, Wernick J.H, (1968). J. Appl. Phys. 39, 555
103. Walstedt R.E, Narath A, (1972). Phys. Rev. B 6: 4118
104. Aaalto M.I, Berglund P.M, Collan H.K, Ehnholm G.J, Gylling R.G, Lounasmaa O.V, (1972). Physica 61, 314
105. Lo D.C, Lang D.V, Boyce J.B, Slichter C.P, (1973). Phys. Rev. B 8, 973
106. Alloul H, Bernier P, (1974). J. Phys. F: Metal Phys. 4, 870
107. Alloul H, Darville J, Bernier P, (1974). J. Phys. F: Metal Phys. 4: 2050
108. Bernier P, Alloul H, (1976). J. Phys. F: Metal Phys. 6: 1193
109. Walstedt R.E, Walker L.R, (1974). Phys. Rev. B 9: 4857
110. Yafet Y, Jaccarino V, (1964). Phys. Rev. 133: A1630
111. Ruderman M.A, Kittel C, (1954). Phys. Rev. 96, 99
112. Kuzemsky A.L, (2005). Physica B 355, 318
113. Van J.H (1948). Vleck Phys. Rev. 74: 1168
114. Coqblin B (1977). The Electronic Structure of Rare-Earth Metals and Alloys: The Magnetic Heavy Rare-Earths. Academic Press, New York
115. Lado F, Memory J.D, Parker G.W, (1971). Phys. Rev. B 4: 1406
116. Korringa J, (1950). Physica 16, 601
117. Moriya T, (1963). J. Phys. Soc. Jpn. 18, 516
118. Kubo R, in Fluctuation, Relaxation, and Resonance in Magnetic Systems Proc. Scottish Universities Summer School, 1961, D. ter Haar, ed., Oliver and Boyd, Edinburgh (1962), p. 23.
119. Kubo R, (1981). Hyperfine Interactions 8, 731