A two-leg quantum Ising ladder: A bosonization study of the ANNNI model

Journal of Physics A: Mathematical and General

Volumn 34, Issue 21, 2001, Pages

  Allen, D ^a   Azaria, P ^a   Lecheminant, P ^b  

^a UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

^b UNIVERSITÉ DE CERGY PONTOISE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035373572     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/21/101     Document Type: Article

References (42)

1. Nelkin M 1994 Universality and scaling in fully developed turbulence Adv. Phys. 43 143
2. Sreenivasan K R and Antonia R A 1997 The phenomenology of small scale turbulence Annu. Rev. Fluid Mech. 29 435
3. Sreenivasan K R Fluid turbulence 1999 Rev. Mod. Phys. 71 S383
4. Kolmogorov A N 1941 Local structure of turbulence in an incompressible fluid for very large Reynolds numbers Dokl. Acad. Nauk. SSSR 30 299
5. Frisch U 1995 Turbulence (Cambridge: Cambridge University Press)
6. McComb W D 1996 The Physics of Fluid Turbulence (Oxford: Clarendon)
7. Zinn-Justin J 1996 Quantum Field Theory (Oxford: Clarendon)
8. Collins J C 1984 Renormalisation (Cambridge: Cambridge University Press)
9. Martin P C, Siggia E D and Rose H A 1973 Statistical dynamics of classical systems Phys. Rev. A 8 423
10. Edwards S F and McComb W D 1969 Statistical mechanics far from equilibrium J. Phys. A: Math. Gen. 2 157
11. Bazdenkov S V and Kukharkin N N 1993 On the variational method of closure in the theory of turbulence Phys. Fluids A 5 2248
12. Pokorski S 1987 Gauge Field Theories (Cambridge: Cambridge University Press)
13. Le Bellac M 1991 Quantum and Statistical Field Theory (Oxford: Clarendon)
14. Teodorovich E V 1994 Diagram equations of the theory of fully developed turbulence Theor. Math. Phys. 101 1177
15. L'vov V and Procaccia I 1995 Exact resummations in the theory of hydrodynamic turbulence I. The ball of locality and normal scaling Phys. Rev. E 52 3840
16. L'vov V and Procaccia I 1995 Exact resummations in the theory of hydrodynamic turbulence II. A ladder to anomalous scaling Phys. Rev. E 52 3858
17. Binney J J, Dowrick N J, Fisher A J and Newman M E J 1992 The Theory of Critical Phenomena (Oxford: Clarendon)
18. Teodorovich E V 1989 A hydrodynamic generalisation of Ward's identity Prikl. Mat. Mekhan. 53 340
19. Benzi R, Ciliberto S, Tripiccione R, Baudet C, Massaioli F and Succi S 1993 Extended self-similarity in turbulent flows Phys. Rev. E 48 R29
20. van de Water W, van der Vorst B and van de Wetering E 1991 Multiscaling of turbulent structure functions Europhys. Lett. 16 443
21. Anselmet F, Gagne Y, Hopfinger E J and Antonia R A 1984 High-order velocity structure functions in turbulent sheer flows J. Fluid Mech. 140 63
22. Belin F, Tabeling P and Willaime H 1996 Exponents of the structure functions in a low temperature helium experiment Physica D 93 52
23. Sreenivasan K R and Dhruva B 1998 Is there scaling in high Reynolds number turbulence? Prog. Theor. Phys. (Suppl.) 130 103
24. Kraichnan R H 1959 The structure of isotropic turbulence at very high Reynolds numbers J. Fluid Mech. 5 497
25. Kadomtsev B B 1995 Plasma Turbulence (Reading, MA: Academic)
26. Kraichnan R H 1965 Lagrangian history closure approximation for turbulence Phys. Fluids 8 575
27. Leslie D C 1973 Developments in the Theory of Turbulence (Oxford: Clarendon)
28. Yakhot V 1981 Ultraviolet dynamic renormalisation group Phys. Rev. A 23 1486
29. L'vov V S 1991 Scale invariant theory of fully developed turbulence-Hamiltonian approach Phys. Rep. C 207 1
30. Sain A, Manu and Pandit R 1998 Turbulence and multiscaling in the randomly forced Navier-Stokes equation Phys. Rev. Lett. 81 4377
31. Kaneda Y, Ishihara T and Gotoh K 1999 Taylor expansions in powers of time of Lagrangian and Eulerian two-point two-time velocity correlations in turbulence Phys. Fluids 11 2154
32. Hayot F and Jayaprakash C 1998 Dynamic structure factors in models of turbulence Phys. Rev. E 57 R4867
33. Cardy J 1997 Scaling and Renormalisation in Statistical Physics (Cambridge: Cambridge University Press)
34. DeDominicis C and Martin P C 1979 Energy spectra of certain randomly-stirred fluids Phys. Rev. A 19 419
35. Bhattacharjee J K 1988 Randomly stirred fluids, mode coupling theories and the turbulent Prandtl number J. Phys. A: Math. Gen. 21 L551
36. Teodorovich E V 1989 On the calculation of the Kolmogorov constant in a description of turbulence by means of the renormalisation group method Sov. Phys.-JETP 69 89
37. Ronis D 1987 Field theoretic renormalisation group and turbulence Phys. Rev. A 36 3322
38. Yakhot V and Orszag S A 1986 Renormalisation group analysis of turbulence Phys. Rev. Lett. 57 1722
39. Smith L M and Woodruff S L 1998 Renormalisation group analysis of turbulence Ann. Rev. Fluid Mech. 30 275
40. Eyink G L 1994 The renormalisation group method in statistical hydrodynamics Phys. Fluids 6 3063
41. Mou C Y and Weichman P B 1995 Multicomponent turbulence, the spherical limit, and non-Kolmogorov spectra Phys. Rev. E 52 3738
42. L'vov V S and Procaccia I 1998 Computing the scaling exponents in fluid turbulence from first principles: the formal setup Physica A 257 165