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Volumn 2, Issue 2, 2006, Pages 124-128

Conformal invariance in two-dimensional turbulence

Author keywords

[No Author keywords available]

Indexed keywords

CONFORMAL MAPPING; DEGREES OF FREEDOM (MECHANICS); HIGH ENERGY PHYSICS; SOLVENTS;

EID: 33646576150     PISSN: 17452473     EISSN: 17452481     Source Type: Journal    
DOI: 10.1038/nphys217     Document Type: Article
Times cited : (182)

References (36)
  • 1
    • 36849114603 scopus 로고
    • Inertial ranges in two-dimensional turbulence
    • Kraichnan, R. H, Inertial ranges in two-dimensional turbulence. Phys. Fluids 10, 1417-1423 (1967).
    • (1967) Phys. Fluids , vol.10 , pp. 1417-1423
    • Kraichnan, R.H.1
  • 3
    • 13644254651 scopus 로고
    • The theory of turbulence in two dimensions
    • Polyakov, A. M. The theory of turbulence in two dimensions. Nucl. Phys. B 396, 367-385 (1993).
    • (1993) Nucl. Phys. B , vol.396 , pp. 367-385
    • Polyakov, A.M.1
  • 4
    • 0036220726 scopus 로고    scopus 로고
    • Two-dimensional turbulence: A physicist approach
    • Tabeling, P. Two-dimensional turbulence: a physicist approach. Phys. Rep. 362, 1-62 (2002).
    • (2002) Phys. Rep. , vol.362 , pp. 1-62
    • Tabeling, P.1
  • 5
    • 0036091335 scopus 로고    scopus 로고
    • Two-dimensional turbulence: A review of some recent experiments
    • Kellay, H. & Goldburg, W. I. Two-dimensional turbulence: a review of some recent experiments. Rep. Prog. Phys. 65, 845-894 (2002).
    • (2002) Rep. Prog. Phys. , vol.65 , pp. 845-894
    • Kellay, H.1    Goldburg, W.I.2
  • 8
    • 0001891382 scopus 로고    scopus 로고
    • Inverse energy cascade in two-dimensional turbulence: Deviations from Gaussian behavior
    • Boffetta, G., Celani, A. & Vergassola, M. Inverse energy cascade in two-dimensional turbulence: Deviations from Gaussian behavior. Phys. Rev. E 61, R29-R32 (2000).
    • (2000) Phys. Rev. E , vol.61
    • Boffetta, G.1    Celani, A.2    Vergassola, M.3
  • 9
    • 0014928682 scopus 로고
    • Conformal symmetry of critical fluctuations
    • Polyakov, A. M. Conformal symmetry of critical fluctuations. JETP Lett. 12, 381-383 (1970).
    • (1970) JETP Lett. , vol.12 , pp. 381-383
    • Polyakov, A.M.1
  • 11
    • 0000614574 scopus 로고    scopus 로고
    • Scaling limits of loop erased random walks and uniform spanning trees
    • Schramm, O. Scaling limits of loop erased random walks and uniform spanning trees. Israel J. Math. 118, 221-288 (2000).
    • (2000) Israel J. Math. , vol.118 , pp. 221-288
    • Schramm, O.1
  • 12
    • 0012566413 scopus 로고    scopus 로고
    • Values of Brownian intersection exponents I: Half-plane exponents
    • Lawler, G., Schramm, O. & Werner, W. Values of Brownian intersection exponents I: Half-plane exponents. Acta Math. 187, 237-273 (2001).
    • (2001) Acta Math. , vol.187 , pp. 237-273
    • Lawler, G.1    Schramm, O.2    Werner, W.3
  • 13
    • 0000467140 scopus 로고    scopus 로고
    • Values of Brownian intersection exponents II: Plane exponents
    • Lawler, G., Schramm, O. & Werner, W. Values of Brownian intersection exponents II: Plane exponents. Acta Math. 187, 275-308 (2001).
    • (2001) Acta Math. , vol.187 , pp. 275-308
    • Lawler, G.1    Schramm, O.2    Werner, W.3
  • 14
    • 1342292650 scopus 로고    scopus 로고
    • Values of Brownian intersection exponents III: Two-sided exponents
    • Lawler, G., Schramm, O. & Werner, W. Values of Brownian intersection exponents III: Two-sided exponents. Ann. Inst. H. Poincare 38, 109-123 (2002).
    • (2002) Ann. Inst. H. Poincare , vol.38 , pp. 109-123
    • Lawler, G.1    Schramm, O.2    Werner, W.3
  • 15
    • 0141680586 scopus 로고    scopus 로고
    • Conformal restriction properties. The chordal case
    • Lawler, G., Schramm, O. & Werner, W. Conformal restriction properties. The chordal case. J. Am. Math. Soc. 16, 915-955 (2003).
    • (2003) J. Am. Math. Soc. , vol.16 , pp. 915-955
    • Lawler, G.1    Schramm, O.2    Werner, W.3
  • 16
    • 33646527544 scopus 로고    scopus 로고
    • Conformally invariant processes in the plane
    • Lawler, G. Conformally invariant processes in the plane. Math. Surveys Monogr. 114, 1-242 (2005).
    • (2005) Math. Surveys Monogr. , vol.114 , pp. 1-242
    • Lawler, G.1
  • 17
    • 3142773838 scopus 로고    scopus 로고
    • The Loewner equation: Maps and shapes
    • Gruzberg, I. & Kadanoft, L. The Loewner equation: maps and shapes. J. Stat. Phys. 114, 1183-1198 (2004).
    • (2004) J. Stat. Phys. , vol.114 , pp. 1183-1198
    • Gruzberg, I.1    Kadanoft, L.2
  • 18
    • 20444484481 scopus 로고    scopus 로고
    • SLE for theoretical physicists
    • Cardy, J. SLE for theoretical physicists. Ann. Phys. 318, 81-118 (2005).
    • (2005) Ann. Phys. , vol.318 , pp. 81-118
    • Cardy, J.1
  • 20
    • 33846849715 scopus 로고    scopus 로고
    • Springer, Berlin
    • (NATO Science Series, Vol. 208, Springer, Berlin, 2006).
    • (2006) NATO Science Series , vol.208
  • 21
    • 0000942409 scopus 로고
    • Untersuchungen über schlichte konforme Abbildungen des Einheitskreises
    • Löwner, K. Untersuchungen über schlichte konforme Abbildungen des Einheitskreises. Math. Ann. 89, 103-121 (1923).
    • (1923) Math. Ann. , vol.89 , pp. 103-121
    • Löwner, K.1
  • 22
    • 0042417237 scopus 로고    scopus 로고
    • Conformal field theories of stochastic Loewner evolutions
    • Bauer, M. & Bernard, D. Conformal field theories of stochastic Loewner evolutions. Commun. Math. Phys. 239, 493-521 (2003).
    • (2003) Commun. Math. Phys. , vol.239 , pp. 493-521
    • Bauer, M.1    Bernard, D.2
  • 23
    • 0001193785 scopus 로고
    • Exact determination of the percolation hull exponent in two dimensions
    • Saleur, H. & Duplantier, B. Exact determination of the percolation hull exponent in two dimensions. Phys. Rev. Lett. 58, 2325-2328 (1987).
    • (1987) Phys. Rev. Lett. , vol.58 , pp. 2325-2328
    • Saleur, H.1    Duplantier, B.2
  • 25
    • 0000886019 scopus 로고
    • Geometrical exponents of contour loops on random Gaussian surfaces
    • Kondev, J. & Henley, C. L. Geometrical exponents of contour loops on random Gaussian surfaces. Phys. Rev. Lett. 74, 4580-4583 (1995).
    • (1995) Phys. Rev. Lett. , vol.74 , pp. 4580-4583
    • Kondev, J.1    Henley, C.L.2
  • 26
    • 24244442492 scopus 로고    scopus 로고
    • Conformally invariant fractals and potential theory
    • Duplantier, B. Conformally invariant fractals and potential theory. Phys. Rev. Lett. 84, 1363-1367 (2000).
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 1363-1367
    • Duplantier, B.1
  • 27
  • 28
    • 0000898051 scopus 로고
    • Critical percolation in finite geometries
    • Cardy, J. Critical percolation in finite geometries. J. Phys. A 25, L201-L206 (1992).
    • (1992) J. Phys. A , vol.25
    • Cardy, J.1
  • 29
    • 0001637122 scopus 로고    scopus 로고
    • Crossing probability for percolation in two dimensions
    • Watts, G. A crossing probability for percolation in two dimensions. J. Phys. A 29, L363-L368 (1996).
    • (1996) J. Phys. A , vol.29
    • Watts, G.A.1
  • 30
    • 0041869040 scopus 로고    scopus 로고
    • Critical percolation in the plane: Conformal invariance, Cardy's formula, scaling limits
    • Smirnov, S. Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits. C.R. Acad. Sci. Paris I Math. 333, 239-244 (2001).
    • (2001) C.R. Acad. Sci. Paris I Math. , vol.333 , pp. 239-244
    • Smirnov, S.1
  • 32
    • 0000442326 scopus 로고
    • Exact critical point and critical exponents of O(n) models in two dimensions
    • Nienhuis, B. Exact critical point and critical exponents of O(n) models in two dimensions. Phys. Rev. Lett. 49, 1062-1065 (1982).
    • (1982) Phys. Rev. Lett. , vol.49 , pp. 1062-1065
    • Nienhuis, B.1
  • 33
    • 0000947729 scopus 로고
    • Diverging length scales in diffusion-limited aggregation
    • Meakin, P. & Family, F. Diverging length scales in diffusion-limited aggregation. Phys. Rev. A 34, 2558-2560 (1986).
    • (1986) Phys. Rev. A , vol.34 , pp. 2558-2560
    • Meakin, P.1    Family, F.2
  • 34
    • 0037128746 scopus 로고    scopus 로고
    • Percolation model for nodal domains of chaotic wave functions
    • Bogomolny, E. & Schmit, C. Percolation model for nodal domains of chaotic wave functions. Phys. Rev. Lett. 88, 114102 (2002).
    • (2002) Phys. Rev. Lett. , vol.88 , pp. 114102
    • Bogomolny, E.1    Schmit, C.2
  • 35
    • 0001398890 scopus 로고
    • Long-correlated percolation
    • Weinrib, A. Long-correlated percolation. Phys. Rev. B 29, 387-395 (1984).
    • (1984) Phys. Rev. B , vol.29 , pp. 387-395
    • Weinrib, A.1
  • 36
    • 27744580434 scopus 로고    scopus 로고
    • Anomalous scaling of a passive scalar in turbulence and equilibrium
    • Falkovich, G. & Fouxon, A. Anomalous scaling of a passive scalar in turbulence and equilibrium. Phys. Rev. Lett. 94, 214502 (2005).
    • (2005) Phys. Rev. Lett. , vol.94 , pp. 214502
    • Falkovich, G.1    Fouxon, A.2


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