Mysteries of diffusion and labyrinths of destiny

Physics-Uspekhi

Volumn 46, Issue 3, 2003, Pages 309-313

  Bakunin, O G ^a  

^a KURCHATOV INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; NONLINEAR SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS;

DIFFUSION EQUATIONS; PARTIAL DERIVATIVES;

DIFFUSION;

EID: 21144458041     PISSN: 10637869     EISSN: None     Source Type: Journal    
DOI: 10.1070/PU2003v046n03ABEH001289     Document Type: Review

References (79)

1. Davydov B I Vsp. Fiz. Nauk 93 401 (1967)
2. Davydov B "Messungsmöglichkeit im relativistischen Quantengebiet" Phys. Z. Sowjetunion 2 91 (1932)
3. Davydov B "Über die Rekombinationswahrscheinlichkeit freier Atomkerne" Phys. Z. Sowjetunion 5 432 (1934)
4. Davydov B I "Uravnenie Fokkera-PIanka i vremya relaksatsii Maksvellovskogo raspredeleniya" ("Fokker-Planck equation and Maxwellian distribution relaxation time") Dokl. Akad. Nauk SSSR 2212 (1934)
5. ["Die Fokker-Plancksche Gleichung im Phasenraume und die Relaxationszeit der Maxwell-Verteilung" C.R. Acad. Sci. USSR 2 216 (1934)]
6. Davydov B I "Uravneniya diffuzii s uchetom molekulyarnoǐ skorosti" ("Diffusion equations with the inclusion of molecular velocity") Dokl. Akad. Nauk SSSR 2 474 (1934)
7. ["Difiusionsgleichung mit Berücksichtigung der Molekulargeschwindigkeit" C.R. Acad. Sci. URSS 2 476 (1935)]
8. Davydov B I "O raspredelenii skorosteǐ elektronov, dvizhushchikhsya v elektricheskom pole" ("On the velocity distribution of electrons moving in an electric field") Zh. Eksp. Teor. Fiz. 6 463 (1936)
9. Davydov B I "O raspredelenii skorosteǐ elektronov, dvizhushchikhsya v elektricheskom pole. 2" ("On the velocity distribution of electrons moving in an electric field. 2") Zh. Eksp. Teor. Fiz. 6 471 (1936)
10. Davydov BI "K teorii elektricheskikh zondov v trubkakh gazovogo razryada" ("To the theory of electric probes in gas discharge tubes") Zh. Tekh. Fiz. 6 1244 (1936)
11. Davydov B I "K teorii dvizheniya elektronov v gazakh i v poluprovodnikakh" ("To the theory of electron motion in gases and semiconductors") Zh. Eksp. Teor. Fiz. 7 1069 (1937)
12. Davydov BI "O fotoelektrodvizhushcheǐ sile v poluprovodnikakh" ("On the photoelectromotive force in semiconductors") Zh. Tekh. fiz. 7 2212 (1937)
13. Davydov B I "O vypryamlyayushchem deǐstvii poluprovodnikov" ("On the rectifying action of semiconductors") Zh. Tekh. Fiz. 8 3 (1938)
14. Davydov B I "O vypryamlenii toka na granitse mezhdu dvumya poluprovodnikami" ("On the rectification of current at the interface between two semiconductors") Dokl. Akad. Nauk SSSR 20 279 (1938)
15. Davydov B I "K teorii tverdykh vypryamiteleǐ" ("To the theory of solid rectifiers") Dokl. Akad. Nauk SSSR 20 283 (1938)
16. Blokhintsev D I, Davydov B I "K teorii tverdykh vypryamiteleǐ " ("To the theory of solid rectifiers") Dokl. Akad. Nauk SSSR 21 22 (1938)
17. ["Some contributions to the theory of solid rectifiers" C.R. Acad. Sci. USSR 21 21 (1938)]
18. Davydov BI "O kontaktnom soprotivlenii poluprovodnikov" ("On the contact resistance of semiconductors") Zh. Eksp. Teor. Fiz. 9 451 (1939)
19. Davydov B I, Pomeranchuk I Ya "O vliyanii magnitnogo polya na elektroprovodnost' monokristallov vismuta pri nizkikh temperaturakh" ("On the magnetic field effect on the electrical conduction in monocrystalline bismuth at low temperatures") Zh. Eksp. Teor. Fiz. 91294 (1939)
20. Davydov B I, Shmushkevich I M "Elektroprovodnost' poluprovodnikov s polnoǐ reshetkoǐ v sil'nykh polyakh" ("Electrical conduction in semiconductors with a complete lattice embedded in a strong field") Zh. Eksp. Teor. Fiz. 10 1043 (1940)
21. Davydov B I "Perekhodnye soprotivleniya v poluprovodnikakh" ("Junction resistances in semiconductors") Zh. Eksp. Teor. Fiz. 10 1342 (1940)
22. Davydov B I, Gurevich B Kh "O fluktuatsiyakh napryazheniya v poluprovodnikakh" ("On the voltage fluctuations in semiconductors") Zh. Tekh. Fiz. 12 31 (1942)
23. Davydov BI "The electric breakdown and cumulative ionization" J. Phys. USSR 7 196 (1943)
24. Davydov B "The electric breakdown and cumulative ionization" Phys. Rev. 64 156 (1943)
25. Davydov BI "K. obosnovaniyu statisticheskoǐ mekhaniki" ("To the substantiation of statistical mechanics") Dokl. Akad. Nauk SSSR 50 131 (1945)
26. Davydov B I "Kvantovaya mekhanika i zakon vozrastaniya entropii" ("Quantum mechanics and entropy increase law") Dokl. Akad. Nauk SSSR 50 135 (1945)
27. Davydov B I "Kvantovaya mekhanika i termodinamicheskaya obratimost' "("Quantum mechanics and thermodynamic reversibility") Zh. Eksp. Teor. Fiz. 16 105 (1946)
28. Davydov B I "Otvet na vozrazheniya Ya P Terletskogo" ("Reply to Ya P Terletskiǐ's objections") Zh. Eksp. Teor. Fiz. 17 845 (1947)
29. Davydov B I "Variatsionnyǐ printsip i kanonicheskie uravneniya dlya ideal'noǐ zhidkosti" ("Variational principle and canonical equations for an ideal liquid") Dokl. Akad. Nauk SSSR 69 165 (1949)
30. Davydov BI "O vliyanii kolebaniǐ plazmy na ee elektroprovodnost' i teploprovodnost' " ("On the effect of plasma oscillations on its electrical and thermal conduction"), in Fizika Plazmy i Problema Upravlyaemykh Termoyadernykh Reaktsiǐ (Ed. M A Leontovich) (Moscow: Izd. AN SSSR, 1958) p. 77
31. [Translated into English as Plasma Physics and the Problem of Controlled Thermonuclear Research (Oxford: Pergamon Press, 1959)]
32. Davydov B I "O zazhiganii bezelektrodnogo razryada" ("On the ignition of an electrodeless discharge"), in Fizika Plazmy i Problema Upravlyaemykh Termoyadernykh Reaktsiǐ (Ed. M A Leontovich) (Moscow: Izd. AN SSSR, 1958) p. 89
33. [Translated into English as Plasma Physics and the Problem of Controlled Thermonuclear Research (Oxford: Pergamon Press, 1959)]
34. Davydov B I "K statisticheskoǐ dinamike neszhimaemoǐ turbulentnoǐ zhidkosti" Dokl. Akad. Nauk SSSR 127 768 (1959)
35. ["On the statistical dynamics of an incompressible turbulent fluid" Sov. Phys. Dokl. 4 769 (1960)]
36. Davydov B I "K statisticheskoǐ teorii turbulentnosti" Dokl. Akad. Nauk SSSR 127 980 (1959)
37. ["On the statistical theory of turbulence" Sov. Phys. Dokl. 4 779 (1960)]
38. Davydov B I "K statisticheskoǐ dinamike neszhimaemoǐ turbulentnoǐ zhidkosti" Dokl. Akad. Nauk SSSR 136 47 (1961)
39. ["On statistical dynamics of an incompressible turbulent fluid" Sov. Phys. Dokl. 610 (1961)]
40. Davydov B I "Fenomenologicheskie uravneniya statisticheskoǐ dinamiki neszhimaemoǐ turbulentnoǐ zhidkosti" Zh. Eksp. Teor. Fiz. 35 527 (1958)
41. ["Phenomenological equations of the statistical dynamics of an incompressible turbulent liquid" Sov. Phys. JETP8 364 (1959)]
42. Einstein A, Smoluchowski M Brounovskoe Dvizhenie Sbornik stateǐ (Brownian Motion. Collection of papers) (Ed. B I Davydov) (Moscow-Leningrad: ONTI, 1936)
43. Davydov B I, in Boltzmann L Lektsiipo Teorii Gazov (Lectures on the Theory of Gases) (Ed. B I Davydov) (Moscow-Leningrad: GITTL, 1953)
44. Davydov BI Usp. Fiz. Nauk 61 17 (1957);
45. also in Boltzmann L Stat'i i Rechi (Papers and Speeches) (Ed. B I Davydov) (Moscow: Nauka, 1970) p. 254
46. Braginskiǐ S I, in Voprosy Teorii Plazmy Vyp. 1 (Ed. M A Leontovich) (Moscow: Gosatomizdat, 1963) p. 183
47. [Translated into English Reviews of Plasma Physics Vol. 1 (New York: Consultants Bureau, 1965) p. 205]
48. "Iz Arkhiva Preridenta Rossiǐskol Federatsii" Usp. Fiz. Nauk 171 904 (2001)
49. ["From the Archive of the President, Russian Federation" Phys. Usp. 44 861 (2001)]
50. Khramov Yu A Fiziki (Physicists) (Ed. A I Akhiezer) 2nd ed. (Moscow: Nauka, 1983)
51. Richardson L Proc. R. Soc. London Ser. A 110 709 (1926)
52. Cattaneo C Atti Sem. Mat. Fis. Univ. Modena 3 83 (1949)
53. Goldstein S Q. J. Mech. Appl. Math. 4 129 (1951)
54. Da vies R W Phys. Rev. 93 1169 (1954)
55. Tr. Glavn. Geofiz. Observ: (19(81)) 175 (1950)
56. Monin A S Izv. Akad. Nauk SSSR 3 248 (1955)
57. Kolmogoroff A Math. Ann. 104 415 (1931)
58. Khintchine A, Levy P CR Acad. Sci. 202 374 (1936)
59. Chukbar K V Zh. Eksp. Teor. Fiz. 108 1875 (1995)
60. [JETP 81 1025 (1995)]
61. Gurevich A V Zh. Eksp. Teor. Fiz. 38 116 (1960)
62. [Soy. Phys. JETP 1185 (1960)]
63. Gurevich A V, Zhivlyuk Yu N Zh. Eksp. Teor. Fiz. 49 225 (1965)
64. [Sov. Phys. JETP 22 153 (1966)]
65. Kramers H A Physica 7 284 (1940)
66. Albritton J R et al. Phys. Rev. Lett. 57 1887 (1986)
67. Bakaǐ A S "Umerennaya turbulentnost' " ("Moderate turbulence"), in Novoe v Sinergetike. Zagadki Mira Neravnovesnykh Struktur, (Synergetics News. Mysteries of the World of Nonequilibrium Structures) (Kibernetika: Neogranichennye Vozmozhnosti i Vozmozhnye Ogranicheniya (Cybernetics: Unlimited Possibilities and Possible Limitations) (Ed. I M Makarov) (Moscow: Nauka, 1996) p. 5
68. Klimontovich Yu L "Fizika besstolknovitel'noǐ plazmy" Usp. Fiz. Nauk 167 23 (1997)
69. ["Physics of collisionless plasma" Phys. Usp. 40 21 (1997)]
70. Klimontovich Yu L Statisticheskaya Teoriya Otkrytykh Sistem (Statistical Theory of Open Systems) Vol. I (Moscow: Yanus, 1995) [Translated into English (Dordrecht: Kluwer Acad. Publ., 1995)]
71. Reshetnyak S A, Shelepin L A Kvazistatsionarnye Raspredeleniya v Kinetike (Quasi-stationary Distributions in Kinetics) (Moscow: IPO "Avtor", 1996)
72. Zaslavsky G M Chaos 4 25 (1994)
73. Chechkin A V, Gonchar V Yu Zh. Eksp. Teor. Fiz. 118 730 (2000)
74. [JETP 91 635 (2000)]
75. Vlasov A A Teoriya Mnogikh Chastits (Many-Body Theory) (Moscow: GITTL, 1950)
76. [Translated into English: Many-Particle Theory and Its Application to Plasma (New York: Gordon and Breach, 1961)]
77. Vlasov A A Statisticheskie Funklsii Raspredeleniya (Statistical Distribution Functions) (Moscow: Nauka, 1966)
78. van Kampen N G Stochastic Processes in Physics and Chemistry (Amsterdam: North-Holland, 1981) [Translated into Russian (Moscow: Vysshaya Shkola, 1990)]
79. Silin V P Vvedenie v Kineticheskuyu Teoriyu Gazov (Introduction to the Kinetic Theory of Gases) (Moscow: Nauka, 1971)