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TURBULENCE STATISTICS FROM SPECTRAL LINE OBSERVATIONS

  • LAZARIAN A. (Department of Astronomy, University of Wisconsin-Madison)
  • Published : 2004.12.01

Abstract

Turbulence is a crucial component of dynamics of astrophysical fluids dynamics, including those of ISM, clusters of galaxies and circumstellar regions. Doppler shifted spectral lines provide a unique source of information on turbulent velocities. We discuss Velocity-Channel Analysis (VCA) and its offspring Velocity Coordinate Spectrum (VCS) that are based on the analytical description of the spectral line statistics. Those techniques are well suited for studies of supersonic turbulence. We stress that a great advantage of VCS is that it does not necessary require good spatial resolution. Addressing the studies of mildly supersonic and subsonic turbulence we discuss the criterion that allows to determine whether Velocity Centroids are dominated by density or velocity. We briefly discuss ways of going beyond power spectra by using of higher order correlations as well as genus analysis. We outline the relation between Spectral Correlation Functions and the statistics available through VCA and VCS.

Keywords

References

  1. Armstrong, J. W., Rickett, B. J., & Spangler, S. R. 1995, ApJ, 443, 209 https://doi.org/10.1086/175515
  2. Ballesteros-Peredes, J., Vazquez-Semandeni, E., & Goodman, A. 2002, ApJ, 571, 334 https://doi.org/10.1086/339875
  3. Brunt, C. M., & Mac Low, M. M. 2004, ApJ, 604,196 https://doi.org/10.1086/381648
  4. Chepurnov, A., & Lazarian, A. 2005, ApJ, submitted
  5. Cho, J., & Lazarian, A. 2002, Phy. Rev. Lett., 88, 245001 (CL02)
  6. Cho, J., & Lazarian, A. 2003a, MNRAS, 345, 325 https://doi.org/10.1046/j.1365-8711.2003.06941.x
  7. Cho, J., Lazarian, A., Honein, A., Knaepen, B., Kassinos, S., & Moin, P. 2003, ApJ, 589, L77 https://doi.org/10.1086/376492
  8. Cho, J., Lazarian, A., & Vishniac, E. 2002a, ApJ, 564, 291 https://doi.org/10.1086/324186
  9. Cho, J., Lazarian, A., & Vishniac, E. 2002b, ApJ, 566, L49 https://doi.org/10.1086/339453
  10. Cho, J., Lazarian, A., & Vishniac, E. 2003b, ApJ, 595, 812 https://doi.org/10.1086/377515
  11. Deshpande, A. A., Dwarakanath, K. S., Goss, W. M. 2000, ApJ, 543, 227 https://doi.org/10.1086/317104
  12. Elmegreen, B. 2002, ApJ, 577, 206 https://doi.org/10.1086/342177
  13. Elmegreen, B., & Falgarone, E. 1996, ApJ, 471, 816 https://doi.org/10.1086/178009
  14. Elmegreen, B., & Scalo, J. 2004, ARA&A, 42, 211 https://doi.org/10.1146/annurev.astro.41.011802.094859
  15. Esquivel, A., & Lazarian, A. 2004, ApJ, submitted
  16. Esquivel A., Lazarian A., Pogosyan D., & Cho, J. 2003, MNRAS, 342, 325 https://doi.org/10.1046/j.1365-8711.2003.06551.x
  17. Falgarone, E. 1999, in Interstellar Turbulence, ed. by J. Franco, A. Carraminana, CUP, (henceforth Interstellar Turbulence) p.132
  18. Falgarone, E., Lis, D. C., Phillips, T. G., Pouquet, A., Porter, D. H., & Woodward, P. R. 1994, ApJ, 436, 728 https://doi.org/10.1086/174946
  19. Falgarone, E., Panis, J.-F., Heithausen, A., Perault, M., Stutzki, J., Puget, J.-L., & Bensch, F. 1998, A&A, 331, 669
  20. Falgarone, E, & Puget, J.-L. 1995, A&A, 293, 840
  21. Falgarone, E., Pineau des Forets, G., & Roueff, E. 1995, A&A, 300, 870
  22. Goldreich, P., & Sridhar, S. 1995, ApJ, 438, 763 https://doi.org/10.1086/175121
  23. Gott, J. R, Melott, A. L., & Dickinson, M. 1986, ApJ, 306, 341 https://doi.org/10.1086/164347
  24. Green, D. A. 1993, MNRAS, 262, 328
  25. von Horner, S. 1951, Zs. F. Ap., 30, 17
  26. Inogamov, N. A., & Sunyaev, R A. 2003, Astronomy Letters, 29, 791. https://doi.org/10.1134/1.1631412
  27. Kolmogorov, A. 1941, Dokl. Akad. Nauk SSSR, 31, 538
  28. Kaplan, S. A., & Pickelner, S. B. 1970
  29. Lazarian, A. 1999b, Statistics of Turbulence from SpectralLine Data Cubes, in Plasma Turbulence and Energetic Particles, ed. M. Ostrowski and R Schlickeiser, Cracow, 28, astro-ph/0001001
  30. Lazarian, A., & Cho, J. 2005, astro-ph/0408174
  31. Lazarian, A., & Cho, J. 2004, Ap&SS, 289, 307 https://doi.org/10.1023/B:ASTR.0000014959.27744.9b
  32. Lazarian, A., & Esquivel, E. 2003, ApJ, 592, L37 (LE03) https://doi.org/10.1086/377427
  33. Lazarian, A., & Pogosyan, D. 2000, ApJ, 537, 720 (LPOO) https://doi.org/10.1086/309040
  34. Lazarian, A, & Pogosyan, D. 2004, ApJ, 616, 943 (LP04) https://doi.org/10.1086/422462
  35. Lazarian, A., Pogosyan, D., & Esquivel, A. 2002, in Seeing Through the Dust, ASP Conf. Proc. Vol 276, eds by A. R Taylor et al. (San Francisco), p. 182
  36. Lazarian, A., Pogosyan, D., Vazquez-Semadeni, E., & Pichardo, B. 2001, ApJ, 555, 130 https://doi.org/10.1086/321478
  37. Lazarian, A., Vishniac, E., & Cho, J. 2004, ApJ, 603, 180 https://doi.org/10.1086/381383
  38. Lazarian, A., & Yan, H. 2004, in 'Astrophysical Dust' eds. A. Witt & B. Draine, APS, V. 309, p.479
  39. Levier, F. 2004, A&A, 421, 387 https://doi.org/10.1051/0004-6361:20047139
  40. McKee, Christopher F., & Tan, Jonathan C. 2002, Nature, 416, 59 https://doi.org/10.1038/416059a
  41. Miesch, M. S., & Bally, J. 1994, ApJ, 429, 645 https://doi.org/10.1086/174352
  42. Miesch, M. S., Scalo, J., & Bally, J. 1999, ApJ, 429, 645 https://doi.org/10.1086/174352
  43. Miville-Deschenes, M. A., Levrier, F., & Falgarone, E. 2003, ApJ, in press, astro-ph/0304539
  44. Miville-Deschenes, M. A., Joncas, G., Falgarone, E., & Boulanger, F. 2003, A&A, in press, astro-ph/0306570
  45. Monin, A. S., & Yaglom, A. M. 1975, Statistical Fluid Me-chanics: Mechanics of Turbulence, vol. 2, The MIT Press
  46. Muller, W.-C., & Biskamp, D. 2000, Phys. Rev. Lett., 84(3), 475 https://doi.org/10.1103/PhysRevLett.84.475
  47. Narayan, R, & Goodman, J. 1989, MNRAS, 238, 963 https://doi.org/10.1093/mnras/238.3.963
  48. Munch, G. 1958, Rev. Mod. Phys., 30, 1035 https://doi.org/10.1103/RevModPhys.30.1035
  49. O'Dell, C. R 1986, ApJ, 304, 767 https://doi.org/10.1086/164213
  50. Ossenkopf, V., & Mac Low, M.-M. 2002, A&A, 390, 307 https://doi.org/10.1051/0004-6361:20020629
  51. Padoan, P., Boldyrev, S., Langer, W., & Nordlund, A. 2003, ApJ, 583, 308 https://doi.org/10.1086/345351
  52. Padoan, P., Goodman, A. A., & Juvela, M. 2003, ApJ, 588, 881 https://doi.org/10.1086/374240
  53. Padoan, P., Rosolowsky, E. W, & Goodman, A. A. 2001, ApJ, 547, 862 https://doi.org/10.1086/318378
  54. Pudritz, R E. 2001, From Darkness to Light: Origin and Evolution of Young Stellar Clusters, ASP, Vol. 243. Eds T. Montmerle and P. Andre. San Francisco, p.3
  55. Rosolowsky, E. W., Goodman, A. A., Wilner, D. J., & Williams, J. P. 1999, ApJ, 524, 887
  56. Stutzki, J. 2001, Astrophysics and Space Science Supplement, 277, 39
  57. Stutzki, J., & Gusten, R 1990, ApJ, 356, 513 https://doi.org/10.1086/168859
  58. Stanimirovic, S. & Lazarian, A. 2001, ApJ, 551, L53 https://doi.org/10.1086/319837
  59. Spangler, S. R, & Gwinn, C. R. 1990, ApJ, 353, L29 https://doi.org/10.1086/185700
  60. Sunyaev, R. A., Norman, M. L., & Bryan, G. L. 2003, As-tronomy Letters, 29, 783 https://doi.org/10.1134/1.1631411
  61. Wilson, O. C., Munch, G., Flather, E. M., & Coffeen, M. F. 1959, ApJS, 4, 199 https://doi.org/10.1086/190048

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