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arXiv:astro-ph/0505580v1 29 May 2005 ej Bekki Kenji the clouds to HI clues isolated massive Kinematical of debris? origin tidal or Dark o.Nt .Ato.Soc. Astron. R. Not. Mon. cetd eevd20 a 3 noiia form original in 13; May 2005 Received Accepted,

⋆ appear clouds HI et isolated 100– Malphrus hand, with 1989, other the rings al. On HI et etc. Schneider 1999), 1997), (e.g., al. al. diameter et Clemens kpc 200 1990, al. et tid Rots one-sided to are out there part stretching Galaxies’: as tails of collected Gallery examples ‘Rogues of the number Hibba of large origin. a collisional show (2001) or al. tidal galaxi nearby their the indicates to appa respect clearly net- the with of most clouds, beautiful field In HI velocity -less 1994). a ently and al. structure et by location, (Yun the streams connected cases, and are filaments the HI 82, which is of M work 81, 3077 M example galaxies NGC prime the and of Another consisting group examples. HI-rich nearby, closest Clouds in- the Magellanic the clouds the are tracing and Way velocity streams Milky the tidal high between HI teraction Galactic prominent and the The galaxies and of (HVCs) groups. outskirts the coun- in within stellar uncommon apparent not without are terparts structures HI of Detections INTRODUCTION 1 c 2 2 1 etefrAtohsc n uecmuig wnun Uni Swinburne Supercomputing, 76, and 205 Astrophysics Box Sydney for P.O. Wales, Centre CSIRO, South Facility, New National Telescope of Australia University Physics, of School -al [email protected] E-mail: 05RAS 2005 1 ⋆ ¨re .Koribalski B¨arbel S. , ∼ 0 p eg,Aplo ta.1987, al. et Appelton (e.g., kpc 100 000 1– , ?? netne Icod(IGH 1 iha Ims of mass HI an with 21) (VIRGOHI cloud HI extended An ABSTRACT ieH eoiywdh ( widths velocity HI wide eosrt httdldbi ihttlH asso 10 of masses HI total tha with hydrodyna debris debris Our galaxies. HI tidal of tidal that clusters of demonstrate in interaction properties like galaxy-galaxy clouds physical by HI investigate isolated apparently numerically of we properties physical cluster. of Virgo origin the the in discovered recently was counterpart optical n 3 mean a (3) and a arcsec mag ob vprtdb hra odcino h o nrcutrg intracluster interaction. for hot the timescales words: HI of the Key have conduction discuss thermal that also by galaxies” We evaporated “dark halos). be or to debris natu dark their tidal by understand just embedded better are to us they simulate allows the whether clouds between HI comparison of the fields that velocity propose We debris. tidal itneof distance 20)Pitd2 coe 08(NL (MN 2018 October 26 Printed (2005) − ∼ 2 hs eut ugs htteVROI1 hc isa projec a at lies which VIRGOHI21, the that suggest results These . 5 p rmteoeamd Irc prlglx 9 NC4254) (NGC M99 galaxy spiral HI-rich one-armed, the from kpc 150 S:cod neglci eim—rdolns S galaxies: — ISM lines: radio — medium intergalactic — clouds ISM: B bn ufc rgteso h tla opnnsfitrthan fainter components stellar the of brightness surface -band 2 det rd n ignaA Kilborn A. Virginia and , es, al r- est fTcnlg,Mi 3,P o 1,Hwhr,VC31 VIC Hawthorn, 218, Box PO H39, Mail Technology, of versity pigNW11,Australia 1710, NSW Epping ,NW Australia NSW, 2, > 0 ms km 200 a nteVrocutr yPokne l 19)rva a reveal (1993) al. et spi- ( Phookun brightest gas by of the cluster, amount 99, above.large Virgo M indicated the of as in observations exceptional ral means HI no VLA by Detailed is it Mpc), 20 ino IGH 1 nfr fafitcup ri.The trail. clumpy faint a of form in 21) VIRGOHI of 11 tion least at stretching h n-re prlglx 9(G 4254, (NGC to 99 M 21 VIRGOHI galaxy of et spiral distance Minchin one-armed projected by the HI the halo wide While matter relatively (2005). dark its al. a of as basis interpreted the on spectrum, is, and counterpart cal lusi h ig lse.A es n fteeclouds, these of one least At cluster. ( Virgo 21 VIRGOHI the in clouds den- structure. column HI high larger the much be a to of scenario likely peak formation group. is sity possible cloud galaxy massive a 2434 spi- this suggested NGC asymmetric that (2005) the the al. within et from at 2442 Bekki kpc NGC lies 180 galaxy 2001), of ral All-Sky al. distance Parkes et cloud projected HI HI (Ryder a isolated the J0731–69 most by The HIPASS 2004). shown discovered, al. as et (Koribalski rare Survey extremely be to ms km − aise l 20)rcnl icvrdsvrlHI several discovered recently (2004) al. et Davies 1 a perlre(25 large appear may ) − 1 ,()asalms rcino tr ( of fraction mass small a (2) ), A T v E hel tl l v2.2) file style X ∼ ∼ ′ 00k s km 2000 oadtenrhet(ntedirec- the (in northwest the toward 2 . 3 × 2 10 ′ ∼ , 3 or 8 8 − 10 − M 1 ∼ ,hsn paetopti- apparent no has ), 8 ⊙ nodrt understand to order In 5 p tadsac of distance a at kpc 150 10 tpcla velocities, peculiar at ) M as. 9 n h observed the and d ⊙ eadoii (e.g., origin and re M ia simulations mical h VIRGOHI21, the a nyadare and only gas n oapparent no and ⊙ sltdH gas HI isolated eeformed were t a ae(1) have can v sys ∼ ≈ 10%), 2 Australia 22, 2400 ted is , 30 2 K. Bekki, V. A. Kilborn, and B. S. Koribalski total HI mass measured in the M 99 system by Phookun et M1 M2 9 al. (1993) is 7.6 × 10 M⊙, typical for its morphological type (Sc) and luminosity; the HI mass to light ratio is ∼0.1. Using HIPASS we measure an HI flux density of 80 ± 2 Jy km s−1 for M 99 (HIPASS J1218+14), in agreement with the value obtained by Phookun et al. (1993), while the VIRGOHI 21 cloud is too faint for detection. M 99 has the possible dynam- 11 ical mass of ∼ 1.6 × 10 M⊙ and is located in the outskirts of the Virgo cluster, about 3.7 degrees (∼1.3 Mpc projected distance) northwest of the giant elliptical M 87 and just out- side the region of strongest X-ray emission. Minchin et al. 50kpc (2005) discount tidal origins for the cloud, though the posi- M3 M4 tion of the cloud on the outskirts of a large cluster, and the proximity of the HI disturbed spiral NGC 4254 (described above) warrant a closer investigation of the origins of the cloud. The purpose of this paper is thus to investigate whether the tidal debris scenario is a viable explanation for the ap- parently isolated massive HI clouds like VIRGOHI21. Based on the numerical simulations on the formation of tidal debris in interacting galaxies in a cluster of galaxies, we particu- larly discuss (1) whether the observed physical properties of apparently isolated HI clouds, such as wider velocity width (∆V ∼ 200 km s−1) of the clouds and no visible counter- Figure 1. Distribution of the stars (cyan) and gas (magenta) in an pair within the Virgo cluster after ∼2 Gyr parts, can be reproduced by the tidal debris scenario and (2) orbital evolution for our models M1 to M4. The distributions are what are key observations that can discriminate between the projected onto the x − y plane with the frame center coincident two scenarios (i.e., “” vs “tidal debris”). We thus with the center of the disk galaxy. The bar in the lower left corner focus on the tidal stripping scenario, though ram pressure of each panel represents a scale of 50 kpc. The inserted box has stripping can be also associated with the origin of isolated a size of 100 kpc and indicates the location of relatively isolated HI clouds (e.g., Vollmer et al. 2005). The present numerical tidal debris for which structural and kinematical properties are results are discussed in a more general way without com- described in the text and Table 1. The companion, which was paring the results with observations of specific targets (e.g., modelled as a point mass, is outside the box; the separation be- VIRGOHI21), though the numerical model is more reason- tween the two interacting galaxies after 2 Gyrs is given in Table 1, able for galaxy evolution in the Virgo cluster. The present (Col. 10). Note that M1 and M2 models show leading and trailing HI tails, which have different shapes and densities. results therefore can be useful in interpreting the observa- tional results of other (apparently) isolated HI objects such 0.5 as HIPASS J0731-69 (Ryder et al. 2001). Md R0 = 3.5( 10 ) kpc, (1) 6 × 10 M⊙ which is consistent both with the observed scaling relation 2 THE MODEL for bright disk galaxies (Freeman 1970) and with the Galac- Details on the disk galaxy models and the external gravita- tic structural parameters (Binney & Tremaine 1980). x v tional potential of clusters of galaxies adopted in the present The initial position ( i, i = 1, 2) and velocity ( i) of study have already been described in Bekki et al. (2005) and two interacting galaxies with respect to the cluster center is Bekki et al. (2003), respectively, so we give only a brief re- described as: view here. We investigate the dynamical evolution of stellar xi = Xg + Xi (2) and gaseous components in an interacting pair of late-type disk galaxies orbiting the center of the Virgo cluster by us- and ing TREESPH simulations (Bekki et al. 2002). A late-type vi = Vg + Vi, (3) disk galaxy with a total mass of Mt, a total disk mass of Md, and a stellar disk size of Rs is assumed to be embedded in respectively, where Xg (Vg) are the position (velocity) of a massive halo with a universal ‘NFW’ profile the center of mass of an interacting pair with respect to (Navarro et al. 1996) with a mass of Mdm, and an exponen- the cluster center and Xi (Vi) is the location (velocity) of tial stellar distribution with a scale length (R0) of 0.2Rs. each galaxy in the pair with respect to their center of mass. The mass ratio of the dark matter halo to the stellar disk is Xi and Vi are determined by the orbital eccentricity (e), set to be 9 for all models (i.e., Mdm/Mt = 0.9). The galaxy the pericenter distance (rp), and the mass ratio of the two is assumed to have an extended HI gas disk with an initial (m2). Only one of the two interacting galaxies is modeled size (Rg) of 2 × Rs, which is consistent with observations as a fully self-consistent disk described above whereas the (e.g., Broeils & van Woerden 1994). An isothermal equation other is modeled as a point mass with the total mass of −1 of state is used for the gas with a sound speed of 5.8 km s m2 × Mt. Accordingly, the total mass of a pair in a model is 11 (corresponding to 2500 K). The adopted R0 − Md relation (1 + m2) × Mt, which corresponds to 2.4 × 10 M⊙ for the for disk models with different masses is described as: model M1 (See Table 1). The self-consistent disk model is

c 2005 RAS, MNRAS 000, 1–?? Dark galaxies or tidal debris? 3

Table 1. Model parameters and results (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) 10 9 2 Model no. Md (×10 M⊙) rp (kpc) θd (degrees) m2 Rini (kpc) MHI (×10 M⊙) fs µB (mag/arcsec ) rsep (kpc) M1 0.6 22 45 3 350 0.17 0.14 33.4 532 M2 0.6 6 45 3 700 0.07 0.25 33.7 171 M3 0.6 22 45 3 700 0.43 0.57 30.2 259 M4 6.0 18 150 0.3 700 0.84 0.30 30.6 310 Notes: Cols. (1–6) model parameters, Cols. (7–9) total gas mass, mass fraction of stars, and average B-band surface brightness, respectively, within a 100 kpc box as shown in Fig. 1, Col. (10) separation of the two interacting galaxies after 2 Gyrs.

inclined by θd (degrees) with respect to the orbital plane of the interacting pair. To give our model a realistic radial density profile for the dark matter halo of the Virgo cluster and thereby deter- mine Xg and Vg, we base our model on both observational studies of the mass of the Virgo cluster (e.g., Tully & Shaya 1984) and the predictions from the standard cold dark mat- ter cosmology (NFW). The NFW profile is described as:

ρ0 ρ(r)= 2 , (4) (r/rs)(1 + r/rs) where r, ρ0, and rs are the distance from the center of the cluster, the central density, and the scale-length of the dark halo, respectively. The adopted NFW model has a total mass 14 of 5.0×10 M⊙ (within the virial radius) and rs of 161 kpc. The center of the cluster is always set to be (x,y,z) = (0,0,0) whereas Xg is set to be (x,y,z)=(Rini, 0, 0). Vg is set to be Figure 2. Gas column density distribution (left) and velocity (vx,vy,vz) = (0, fvVc, 0), where fv and Vc are the parameters field (right) for model M1. The cell size is 2.8 kpc and the viewing ◦ controlling the orbital eccentricity (i.e, the larger fv is, the angle (θi) is 45 . more circular the orbit becomes) and the circular velocity of the cluster at R = Rini, respectively. The orbital plane of the pair is assumed to be inclined by 30 degrees with respect to the x − y plane for all models. Thus Rini and fv are the two key parameters for the orbital evolution of the pair. We show the results of the models with fv = 0.5 and e = 1.5 (high-speed, hyperbolic encounters appropriate for cluster galaxy interaction) in the present study. Although we investigated a large number of models, we only show the results of four representative models which produce relatively isolated gas clouds (i.e., tidal debris) with- out many stars. The model parameters and the resulting physical properties of the tidal debris are summarized in Table 1: Mg (column 7), fs (8), µB (9), and rsep (10) de- scribe the total gas mass within a 100 kpc box within which relatively isolated tidal debris can be seen for each model (see Fig. 1), the mass fraction of stars within the debris, the B-band surface brightness of stars averaged over the 100 kpc box, and the distance of two interacting galaxies in each panel of Fig. 1, respectively. The occurrence of single Figure 3. Simulated spectra of the gas in model M1. The nor- or double tails depends strongly on the orbits and mass ra- malized flux at each velocity Vr is derived by estimating the total tios. We emphasize the results of M4, because this model mass of gas particles with radial velocities ∼ Vr. suggests that a past interaction between NGC 4254 and a galaxy (that can not be specified in the present study) can be responsible both for the origin of VIRGOHI 21 and for i.e. the angle between the z-axis and the line-of-sight that is the morphological properties of NGC 4254 (e.g., the strong always within the y − z plane. one-armed spiral structure and the one-sided tidal plume of gas). The B-band mass-to-light ratio (Md/LB, where LB is 3 RESULTS the B-band luminosity of a disk) is assumed to be four for estimating the surface brightness of tidal tails and debris. Fig. 1 summarises the projected mass distributions of stars We mainly investigate column density distributions and ve- and gas after ∼2 Gyr dynamical evolution of interacting locity fields of tidal debris for different viewing angles (θi), galaxies for the four models (M1, M2, M3, and M4). Stars

c 2005 RAS, MNRAS 000, 1–?? 4 K. Bekki, V. A. Kilborn, and B. S. Koribalski

0.0001 0.001

Figure 5. The dependences of the evaporation time scale of HI gas (tevap) on HI densities (nHI) for different temperature (T ) of hot gas in a cluster of galaxies: T = 106 (solid), T = 107 (dotted), and T = 108 K (dashed).

mag arcsec−2 for model M3. The derived very faint surface brightness suggests that it is almost impossible to detect any optical counterparts of the tidal debris with current large telescopes and reasonable exposure times. Fig. 2 shows the column density distribution and ve- locity field of the tidal debris in model M1. It is clear from this figure that (1) the gaseous distribution is quite irregu- Figure 4. Simulated velocity fields for the gas in the initial disk lar and inhomogeneous with local column densities ranging 17 19 −2 (upper left; inclined for comparison), and the tidal debris resulting from ∼ 10 to ∼ 10 cm , (2) there is a strong velocity from our models: M2 (upper right), M3 (lower left), and M4 (lower gradient between the upper left and the lower right parts right). The color bar at the bottom of each panel indicates the of the debris, but the overall velocity field is appreciably range of velocities (∼100 to 200 km s−1) in the simulated debris. irregular, and (3) there is no clear sign of global rotation. Result (1) implies that the observed morphology of the tidal debris depends strongly on the column density limit of the and gas tidally stripped by the galaxy-galaxy interaction observations. (and by the cluster tidal field) can not return back to the Fig. 3 shows that the simulated spectra (i.e., the inte- host galaxies owing to the stronger cluster tidal field (e.g., grated Vr distribution) of the gaseous debris can have a wide Mihos 2004). As a result of this, they form either tidal debris velocity range (>200 km s−1) for some viewing angles. But an the tip of the tidal tails or faint ‘tidal bridges’ connecting unless the gas is shown to be rotating, the velocity width the host galaxies. The tidal debris can have large HI masses of the HI spectrum alone does not lead to an estimate of 8 9 (10 − 10 M⊙) and be well detached from their host galax- the cloud mass. Streaming motions within the tidal debris ies. The interaction partners have separated (∼ 100 kpc) are responsible for the wide velocity width of the gas in the from the tidal tails and debris which are then observed as present models. This kind of wide velocity width in HI gas relatively isolated HI clouds. has been already observed for the relatively isolated mas- Tidal stripping is much more efficient in gas than in sive HI cloud discovered by HIPASS within the NGC 2434 stars, because, in our model, the initial gas distributions in (Ryder et al. 2001). the disks are two times more extended than the stellar ones. Fig. 4 illustrates how much the simulated velocity fields Therefore, the mass fraction of stars can be small ranging of the gas in our models differ from that of a regular rotat- from 14% (M1) to 57% (M3) within the ‘isolated HI clouds’ ing gas disk. It is a generic result of the present study that (shown within the box of each model in Fig. 1). Stripped the velocity fields of tidal debris do not resemble the typi- stars can be very diffusely distributed and consequently the cal ‘spider diagrams’ which are characteristic of regular HI mean B-band surface brightness (µB) within the 100 kpc kinematics in disk galaxies that are supported by rotation box is 33.7 mag arcsec−2 (in model M1). The morphological against gravitational fields made by baryonic and dark mat- properties of the gas and stars, the stellar mass fraction, and ter of the galaxies. Velocity fields are the key observational µB of the stars in the tidal debris (or ‘isolated HI clouds’) tools to help us determine whether gas clouds are (unbound) are quite diverse and depend on projections. For example, tidal debris or a self-gravitating systems embedded within a −2 µB is 33.7 mag arcsec for model M2 whereas it is 30.2 massive dark matter halo.

c 2005 RAS, MNRAS 000, 1–?? Dark galaxies or tidal debris? 5

4 DISCUSSIONS AND CONCLUSIONS ACKNOWLEDGMENTS

We have shown that tidal debris formed from interacting KB acknowledges the financial support of the Australian galaxies in clusters (1) can have a wide velocity width (>200 Research Council throughout the course of this work. The −1 −2 km s ), (2) show µB of stars fainter than 30 mag arcsec , numerical simulations reported here were carried out at Aus- and (3) are located far from (>100 kpc) their progenitors. tralian Partnership for Advanced Computing (APAC). Our results suggest that the HI cloud VIRGOHI 21 which lies at a distance of ∼150 kpc from the one-armed spiral M 99 (NGC 4254) is likely to be tidal debris rather than a REFERENCES ‘dark galaxy’. We stress that a detailed kinematical study et al. of the HI gas in the extended region around M 99, and of Appelton, P.N., Ghigo, F.D., van Gorkom, J.H. 1987, Na- ture 330, 140 the region between VIRGOHI 21 and M 99 in particular, is Bekki, K., Forbes, D. A., Beasley, M. A., Couch, W. 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J. 1984, ApJ 281, 31 duction well within 10 yr in cluster environments with T Vollmer, B., Huchtmeier, W., van Driel, W. 2005, A&A, accepted 7 − 8 = 10 10 K: these clouds would be difficult to observe in Yun, M., Ho, P., Lo, K. 1994, Nature 372, 530 clusters a few Gyr after their formation. Recently discovered massive HI clouds with no appar- ent optical counterparts have provided new clues to several problems of extragalactic such as the origin of HVCs and -forming regions (e.g., Kilborn et al. 2000, Ryder et al. 2001, Ryan-Weber et al. 2004, Kil- born et al. 2005). Although previous numerical studies have tried to reproduce the observed structural properties of rel- atively isolated HI clouds (e.g., Bekki et al. 2005), they did not discuss the kinematical properties of the clouds exten- sively. Simulated velocity fields as well as particle/mass dis- tributions are necessary for comparison with the observed gas kinematics in galaxies and surrounding material to bet- ter understand galaxy interactions in various environments.

c 2005 RAS, MNRAS 000, 1–??