Application of the renormalization-group method to the reduction of transport equations

Journal of Physics A: Mathematical and General

Volumn 39, Issue 25, 2006, Pages 8089-8104

  Kunihiro, Teiji ^a   Tsumura, Kyosuke ^b  

^a KYOTO UNIVERSITY   (Japan)

^b KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33745081937     PISSN: 03054470     EISSN: 13616447     Source Type: Journal    
DOI: 10.1088/0305-4470/39/25/S20     Document Type: Conference Paper

References (34)

1. Stuckelberg E C G and Petermann A 1953 Helv. Phys. Acta 26 499
2. Gell-Mann M and Low F E 1953 Phys. Rev. 95 1300
3. As a review article Zinn-Justin J 1989 Quantum Field Theory and Critical Phenomena (Oxford: Clarendon)
4. Wilson K G 1971 Phys. Rev. D 3 1818
5. Wegner F and Houghton A 1973 Phys. Rev. A 8 401
6. Weinberg S 1996 The Quantum Theory of Field II (Cambridge: Cambridge University Press)
7. Bender C M and Orszag S A 1978 Advanced Mathematical Methods for Scientists and Engineers (New York: McGraw-Hill)
8. Chen L Y, Goldenfeld N and Oono Y 1994 Phys. Rev. Lett. 73 1311
9. Chen L Y, Goldenfeld N and Oono Y 1996 Phys. Rev. E 54 376
10. See also Bricmont J and Kupianien A 1992 Commun. Math. Phys. 150 193
11. Kunihiro T 1995 Prog. Theor. Phys. 94 503
12. Kunihiro T 1996 Prog. Theor. Phys. 95 835 (E)
13. Kunihiro T 1997 Japan. J. Ind. Appl. Math. 14 51
14. Kunihiro T 1997 Prog. Theor. Phys. 97 179
15. Kunihiro T and Matsukidaira J 1998 Phys. Rev. E 57 4817
16. Ei S-I, Fujii K and Kunihiro T 2000 Ann. Phys. 280 236
17. Hatta Y and Kunihiro T 2002 Ann. Phys. 298 24
18. Hatsuda T, Kunihiro T and Tanaka T 1997 Phys. Rev. Lett. 78 3229
19. Kuramoto Y 1989 Prog. Theor. Phys. Suppl. 99 244
20. Kenkyu B 1987 Prog. Theor. Phys. 49 299
21. Bogoliubov N N and Mitropolsky Y A 1961 Asymptotic Methods in the Theory of Nonlinear Oscillations (London: Gordon and Breach)
22. Bogoliubov N N 1962 Studies in Statistical Mechanics vol 2 ed J de Boer and G E Uhlenbeck (Amsterdam: North-Holland)
23. Boltzmann L 1964 Lectures on Gas Theory (Berkeley, CA: University of California Press)
24. Resibois P 1970 J. Stat. Phys. 2 21
25. Balescu R 1975 Equilibrium and Nonequilibrium Statistical Mechanics (New York: Wiley)
26. Reichl L E 1998 Modern Course in Statistical Physics 2nd edn (New York: Wiley) chapter 11
27. Lifshitz E M and Pitaevskii L P 1981 Physical Kinetics (Oxford: Butterworth-Heinemann)
28. Chapman S and Cowling T G 1970 The Mathematical Theory of Non-Uniform Gases 3rd edn (Cambridge: Cambridge University Press)
29. Kawasaki K 2000 Non-Equilibrium and Phase Transition - Statistical Physics in Meso Scales (Tokyo: Asakura Shoten) chapter 7 (in Japanese)
30. Kubo R, Toda M and Hashitsume N 1985 Statistical Physics II Non-Equilibrium Statistical Mechanics (Berlin: Springer)
31. Suzuki M 1986 J. Phys. Soc. Japan 55 4205
32. Suzuki M 1995 Mean Field, Fluctuations and Systematics ed M Suzuki et al (Singapore: World Scientific)
33. Stephanov M A, Rajagopal K and Shuryak E V 1998 Phys. Rev. Lett. 81 4816
34. Son D T and Stephanov M A 2004 Phys. Rev. D 70 056001