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1 PD X (Galaxy Clusters) 1970 X X X 1Mpc Mpc cm

2 1) Sunyaev Zel dovich (SZ) X Mpc 10 1/3 X SZ X 4 SZ 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 Mpc cm Gpc cm X [erg s 1 cm 3 ]

3 b 8), 9) 10) r

4 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

5 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 s LN, n ) 7 b

6 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 ) 15) 6 16)

7 6 T sl /T ew (simulation) T sl /T ew (model) X T spec Rasia T spec /T ew T sl T spec (1) (2) 6 T sl /T ew 11) 6. SZ X 1 H km/s/mpc 17) 18) H km/s/mpc 19) H km/s/mpc 20) , ), 22) b

8 7 f H H 0 /H 0 T spec 3 f H T spec T ew T ew 4 T spec (1) (2) (3) ) 8 8 Reese H km/s/mpc) Bonamente (H km/s/mpc 23) X, ROSAT, ASCA Chandra,Chandra SZ, 10% 24) Bonamente 15 H 0 60 km/s/mpc

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

10 1) , 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, ) 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, ) Kawahara H., Suto Y., Kitayama T., Sasaki S., Shimizu M., Rasia E., Dolag K., ApJ 659, ) Kawahara H., Reese E. D., Kitayama T., Sasaki S., Suto Y., 2008, ApJ 687: ) 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, ) Lemze D., Barkana R., Broadhurst T. J., Rephaeli Y., MNRAS 386, ) 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, ) 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, ) Inagaki Y., Suginohara T., Suto Y., 1995, PASJ 47, ) Yoshikawa K., Itoh M., Suto Y., 1998, PASJ, 50, ) 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, 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, ) 2008, 78, 1228 Fluctuating Intracluster Medium and Cosmology Hajime KAWAHARA The University of Tokyo, Department of Physics, The University of Tokyo, Tokyo , 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

(warm-hot intergalactic medium; WHIM) 1

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