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PD e-mail: kawahara@utap.phys.s.u-tokyo.ac.jp 113 0033 7 3 1 X 15 1. (Galaxy Clusters) 1970 X X X 1Mpc 1 10 14 2 1 2 1Mpc 3 10 24 cm 2009 604 2009 10

1) Sunyaev Zel dovich (SZ) X 3 0.1 1Mpc 10 1/3 X SZ X 4 SZ 2. 1996 Navarro NFW 2) 3) NFW n(r) b n(r) n 0 1 r 3b/2 r 2 c, (1) 4) 5) n 0 r c b b NFW NFW 6) 7) X SZ b 1 3 4 Mpc 3 10 24 cm Gpc 3 10 27 cm X [erg s 1 cm 3 ] 102 10 605

b 8), 9) 10) 1 3. 5 2 5 r 606 2009 10

3 d n (r) n(r)/ n(r) d T (r) T(r)/T(r) 6 2 (x n or T) P LN (d x )dd x 1 2ps LN, x exp (log d x s 2 LN, x/2) 2 2s 2 LN, x dd x d x, (2) 3 x log x s LN, x SPH (smoothing particle hydrodynamic) 11) 4. X X 6 d 0 1 102 10 607

4 Abell 3667 X S X (R) d SX (R) X 1/2 X X X X d SX (R) S X (R)/S X (R) S X (R) X S X (R) R X Chandra 7 Abell 3667 4 5 s LN, n 0.3 0.4 12) 7 b 608 2009 10

5 Abell 3667 X 5. 3 X X X T spec T ew n 2 L(T)T dv n 2 L(T)dV, (3) T spec L(T) X Mazzotta T spec T ew 13) T spec T sl n 2 T 1/4 dv n 2 T 3/4 dv. (4) Rasia T sl /T ew 0.7 14) 15) 6 16) 102 10 609

6 T sl /T ew (simulation) T sl /T ew (model) X T spec Rasia T spec /T ew 0.8 0.9 T sl T spec (1) (2) 6 T sl /T ew 11) 6. SZ X 1 H 0 60 3 km/s/mpc 17) 18) H 0 72 8 km/s/mpc 19) H 0 73 3 km/s/mpc 20) 10 20 1, 2 10 20 21), 22) b 610 2009 10

7 f H H 0 /H 0 T spec 3 f H 0.9 0.8 10 20 T spec T ew T ew 4 T spec (1) (2) (3) 10 20 8 10 20 7 7 4 25) 8 8 Reese H 0 60 3 km/s/mpc) Bonamente (H 0 76.9 3.9 3.4 km/s/mpc 23) X, ROSAT, ASCA Chandra,Chandra SZ, 10% 24) Bonamente 15 H 0 60 km/s/mpc 102 10 611

NFW 8 f H H 0 /H 0 8 (prolateness) 25) 7. 26) 27) 28 8. Erik D. Reese Klaus Dolag Elena Rasia X 612 2009 10

1) 2004. 59, 349 2) Navarro J. F., Frenk C. S., White S. D. M., 1996, ApJ 462, 563 3) Navarro J. F., Frenk C. S., White S. D. M., 1997, ApJ 490, 493 4) Cavaliere A., Fusco-Femiano R., 1976, A&A 49, 137 144 5) Cavaliere A., Fusco-Femiano R., 1978, A&A 70, 677 6) Makino N., Sasaki S., Suto Y., 1998, ApJ 497, 555 7) Suto Y., Sasaki S., Makino N., 1998, ApJ 509, 544 8) Markevitch M., Forman W. R., Sarazin C. L., Vikhlinin A., 1998, ApJ 503, 77 9) Allen S. W., Schmidt R. W., Fabian A. C., 2001, Mon. Not. Roy. Astron. Soc. 328, L37 10) Jing Y. P., Suto Y., 2002, ApJ 574, 538 11) Kawahara H., Suto Y., Kitayama T., Sasaki S., Shimizu M., Rasia E., Dolag K., 2007. ApJ 659, 257 12) Kawahara H., Reese E. D., Kitayama T., Sasaki S., Suto Y., 2008, ApJ 687: 936 13) Mazzotta P., Rasia E., Moscardini L., Tormen G., 2004, MNRAS 354, 10 14) Rasia E., Mazzotta P., Borgani S., Moscardini L., Dolag K., Tormen G., Diaferio A., Murante G., 2005, ApJ 618, L1 15) Shimizu M., Kitayama T., Sasaki S., Suto Y., 2006, PASJ 58, 291 16) Lemze D., Barkana R., Broadhurst T. J., Rephaeli Y., 2008. MNRAS 386, 1092 17) Reese E. D., Carlstrom J. E., Joy M., Mohr J. J., Grego L., Holzapfel W. L., 2002, ApJ 581, 53 18) Carlstrom J. E., Holder G. P., Reese E. D., 2002, ARA&A 40, 643 19) Freedman W. L., Madore B. F., Gibson B. K., Ferrarese L., Kelson D. D., Sakai S., Mould J. R., Kennicutt R. C., Jr., Ford H. C., Graham J. A., Huchra J. P., Hughes S. M. G., Illingworth G. D., Macri L. M., Stetson P. B., 2001, ApJ 553, 47 20) Spergel D. N., Bean R., Dor e O., Nolta M. R., Bennett C. L., Dunkley J., Hinshaw G., Jarosik N., Komatsu E., Page L., Peiris H. V., Verde L., Halpern M., Hill R. S., Kogut A., Limon M., Meyer S. S., Odegard N., Tucker G. S., Weiland J. L., Wollack E., Wright E. L., 2007, ApJS 170, 377 21) Inagaki Y., Suginohara T., Suto Y., 1995, PASJ 47, 411 22) Yoshikawa K., Itoh M., Suto Y., 1998, PASJ, 50, 203 23) Bonamente E., Joy M. K., LaRoque S. J., Carlstrom J. E., Reese E. D., Dawson K. D., 2006 ApJ 647, 25 24) Gaetz T. 2009, 4th IACHEC Meeting, http://www. iachec.org/meetings/2009/index.html 25) Kawahara H., Kitayama T., Sasaki S., Suto Y., 2008, ApJ 674, 11 26) Kayo I., Taruya A., Suto Y., 2001, ApJ 561, 22 27) Wada K., Norman C. A., 2001, ApJ 547, 172 28) 2008, 78, 1228 Fluctuating Intracluster Medium and Cosmology Hajime KAWAHARA The University of Tokyo, Department of Physics, The University of Tokyo, Tokyo 113 0033, Japan Abstract: We investigate the statistical nature of inhomogeneity in the intracluster medium using simulations and X-ray data. We find that the temperature and density imhomogeneities have nearly a universal distribution that resembles the lognormal function. With this model, we find that the inhomogeneities can explain the reported systematic bias in cluster temperature and may explain the systematic underestimate of the Hubble constant determined from the Sunyaev Zel dovich e#ect. We conclude that the inhomogeneity significantly a#ects the cosmological implications of galaxy clusters. 102 10 613