Two-loop field theory and nonasymptotic properties of the dynamical model for the λ transition in He3 - He4 mixtures

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 73, Issue 1, 2006, Pages

  Folk, R ^a   Moser, G ^b  

^a JOHANNES KEPLER UNIVERSITY LINZ   (Austria)

^b UNIVERSITY OF SALZBURG   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

HELIUM; NUMERICAL ANALYSIS;

CRITICAL DYNAMICS; DYNAMICAL FIELD THEORY; NONLINEAR FLOW;

BINARY MIXTURES;

EID: 32844456633     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.73.016141     Document Type: Article

References (30)

1. P. C. Hohenberg and B. I. Halperin, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.49.435 49, 435 (1977).
2. E. D. Siggia and D. R. Nelson, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.15.1427 15, 1427 (1977).
3. There is a large amount of measurements by H. Meyer and collaborators. Here we only cite a review paper showing the behavior of the transport coefficients (thermal conductivity, thermal diffusion ratio, and mass diffusion): J. Low Temp. Phys. JLTPAC 0022-2291 70, 219 (1988).
4. A. Onuki, J. Low Temp. Phys. JLTPAC 0022-2291 53, 189 (1983).
5. E. D. Siggia, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.15.2830 15, 2830 (1977).
6. V. Dohm, Z. Phys. B ZPBBDJ 0340-224X 33, 79 (1979).
7. C. DeDominicis and L. Peliti, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.18.353 18, 353 (1978).
8. V. Dohm, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.44.2697 44, 2697 (1991).
9. V. Dohm, Phys. Rev. B. (to be published).
10. V. Dohm and R. Folk, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.28. 1332 28, 1332 (1983).
11. G. Moser and R. Folk, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.44. 819 44, 819 (1991).
12. R. Folk and H. Iro, Phys. Lett. PYLAAG 0375-9601 109A, 53 (1985).
13. R. Folk and G. Moser, J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/BF00121980 86, 57 (1992);
14. R. Folk and G. Moser, J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/BF00121981 86, 99 (1992).
15. R. Folk and G. Moser, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.125301 89, 125301 (2002).
16. R. Folk and G. Moser, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.229902 93, 229902 (2004).
17. R. Folk and G. Moser, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71. 026118 71, 026118 (2005).
18. E. Eisenriegler and B. Schaub, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01292639 39, 65 (1980).
19. R. Bausch, H. K. Janssen, and H. Wagner, Z. Phys. B ZPBBDJ 0340-224X 10.1007/BF01312880 24, 113 (1976).
20. H. Kleinert and V. Schulte-Frohlinde, Critical Properties of 4 -Theories (World Scientific, Singapore, 2001).
21. V. Dohm, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01312644 60, 61 (1985).
22. D. J. Amit, Field Theory, the Renormalization Group and Critical Phenomena, 2nd ed. (World Scientific, Singapore, 1984).
23. B. I. Halperin, P. C. Hohenberg, and E. D. Siggia, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.13.1299 13, 1299 (1976).
24. R. Folk and G. Moser, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69. 036101 69, 036101 (2004).
25. R. Schloms and V. Dohm, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(89)90223-X 328, 639 (1989).
26. E. Brezin and C. DeDominicis, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.12.4954 12, 4954 (1975).
27. V. Dohm and R. Folk, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01295074 40, 79 (1980).
28. R. Folk and G. Moser, J. Low Temp. Phys. JLTPAC 0022-2291 10.1023/B:JOLT.0000038520.65558.e9 136, 159 (2004). The analysis of the mixtures presented in this paper has been performed with the uncorrected ζΓ function of Ref.. Repeating the analysis with the correct ζΓ function changes the presented flows slightly but these changes are invisible in the theoretical values of the transport coefficients. More sensitive is the thermal conductivity amplitude of pure He4. There are visible changes in Figs. 7 and 8. The reanalysis agrees with the results presented by V. Dohm.
29. P. C. Hohenberg, B. I. Halperin, and D. R. Nelson, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.22.2373 22, 2373 (1980).
30. L. Peliti, in Dynamical Critical Phenomena and Related Topics, edited by, Ch. P. Enz, Lecture Notes in Physics Vol. 104 (Springer, Berlin, 1979), p. 189.