Abstract
We present the star formation rates (SFRs) of galaxies with redshifts of 0 < \(z\) < 6 and cosmic star formation rate densities as a function of redshift. The SFRs for the galaxies at infrared emission have been investigated for 1752 sources from the Spitzer 70 μm observations of the Spitzer COSMOS Legacy survey and the various surveys in the literature. Analyzing the SFRs of these objects provides the distribution of SFRs across the redshift range. We have derived the star formation rate densities (SFRDs) based on the present analysis of SFRs and comoving volume calculated from the cosmic parameters we have used. Our results show a slightly steeper slope at lower and intermediate redshift, 0 < \(z\) < 2. We have found a steep decline of SFRD from \(z=1\) to 0, but measured a peak of SFRD at \(z\approx 2.2-2.4\).
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References
Bonzini, M., Mainieri, V., Padovani, P., Andreani, P., Berta, S., Bethermin, M., Lutz, D., Rodighiero, G., Rosario, D., et al.: Mon. Not. R. Astron. Soc. 453, 1079 (2015)
Borch, A., Meisenheimer, K., Bell, E.F., Rix, H.-W., Wolf, C., Dye, S., Kleinheinrich, M., Kovacs, Z., Wisotzki, L.: Astron. Astrophys. 453, 869 (2006)
Calzetti, D., Kinney, A.L., Storchi-Bergmann, T.: Astrophys. J. 429, 582 (1994)
Casey, C.M., Chen, C., Cowie, L.L., Barger, A.J., Capak, P., Ilbert, O., Koss, M., Lee, N., Le Floc’h, E., Sanders, D.B., Williams, J.P.: Mon. Not. R. Astron. Soc. 436, 1919 (2013)
Chabrier, G.: Publ. Astron. Soc. Pac. 115, 763 (2003)
Chapman, S.C., Lewis, G.F., Richards, E.A., Scott, D., Borys, C.: Bull. Am. Astron. Soc. 33, 1180 (2001)
Cole, S., Lacey, C.G., Baugh, C.M., Frenk, C.S.: Mon. Not. R. Astron. Soc. 319, 168 (2000)
Cole, S., Norberg, P., Baugh, C.M., Frenk, C.S., Bland-Hawthorn, J., Bridges, T., Cannon, R., Colless, M., Collins, C., Couch, W., Cross, N., Dalton, G., De Propris, R., Driver, S.P., Efstathiou, G., Ellis, R.S., Glazebrook, K., Jackson, C., Lahav, O., Lewis, I., Lumsden, S., Maddox, S., Madgwick, D., Peacock, J.A., Peterson, B.A., Sutherland, W., Taylor, K.: Mon. Not. R. Astron. Soc. 326, 255 (2001)
Condon, J.J., Cotton, W.D., Broderick, J.J.: Astron. J. 124, 675 (2002)
de Graauw, Th., Helmich, F.P., Phillips, T.G., Stutzki, J., Caux, E., Whyborn, N.D., Dieleman, P., Roelfsema, P.R., Aarts, H., et al.: Astron. Astrophys. 518L, 6D (2010)
Domínguez Sánchez, H., Bongiovanni, A., Lara-López, M.A., Oteo, I., Cepa, J., Pérez García, A.M., Sánchez-Portal, M., Ederoclite, A., Lutz, D., et al.: Mon. Not. R. Astron. Soc. 441, 2D (2014)
Drouart, G., De Breuck, C., Vernet, J., Seymour, N., Lehnert, M., Barthel, P., Bauer, F.E., Ibar, E., Galametz, A.: Astron. Astrophys. 566, A33 (2014)
Dunne, L., Ivison, R.J., Maddox, S., Cirasuolo, M., Mortier, A.M., Foucaud, S., Ibar, E., Almaini, O., Simpson, C., McLure, R.: Mon. Not. R. Astron. Soc. 394, 3 (2009)
Fazio, G.G., Hora, J.L., Allen, L.E., Ashby, M.L.N., Barmby, P., Deutsch, L.K., Huang, J.-S., Kleiner, S., Marengo, M., Megeath, S.T., Melnick, G.J., Pahre, M.A., Patten, B.M., Polizotti, J., Smith, H.A., Taylor, R.S., Wang, Z., Willner, S.P., Hoffmann, W.F., Pipher, J.L.: Astrophys. J. Suppl. Ser. 154, 10 (2004)
Felten, J.E.: Astrophys. J. 207, 700 (1976)
Fernández-Soto, A., Lanzetta, K.M., Chen, H.-W., Pascarelle, S.M., Yahata, N.: Astrophys. J. Suppl. Ser. 135, 41 (2001)
Firth, A.E., Lahav, O., Somerville, R.S.: Mon. Not. R. Astron. Soc. 339, 1195 (2003)
Fontana, A., Salimbeni, S., Grazian, A., Giallongo, E., Pentericci, L., Nonino, M., Fontanot, F., Menci, N., Monaco, P., Cristiani, S., Vanzella, E., de Santis, C., Gallozzi, S.: Astron. Astrophys. 459, 745 (2006)
Frayer, D.T., Sanders, D.B., Surace, J.A., Aussel, H., Salvato, M., Le Floc’h, E., Huynh, M.T., Scoville, N.Z., Afonso-Luis, A., et al.: Astron. J. 138, 1261 (2009)
Grazian, A., Fontana, A., Santini, P., Dunlop, J.S., Ferguson, H.C., Castellano, M., Amorin, R., Ashby, M.L.N., Barro, G., Behroozi, P., Boutsia, K., Caputi, K.I., Chary, R.R., Dekel, A., Dickinson, M.E., Faber, S.M., Fazio, G.G., Finkelstein, S.L., Galametz, A., Giallongo, E., Giavalisco, M., Grogin, N.A., Guo, Y., Kocevski, D., Koekemoer, A.M., Koo, D.C., Lee, K.-S., Lu, Y., Merlin, E., Mobasher, B., Nonino, M., Papovich, C., Paris, D., Pentericci, L., Reddy, N., Renzini, A., Salmon, B., Salvato, M., Sommariva, V., Song, M., Vanzella, E.: Astron. Astrophys. 575, 25 (2015)
Griffin, M.J., Abergel, A., Abreu, A., Ade, P.A.R., André, P., Augueres, J.-L., Babbedge, T., Bae, Y., Baillie, T., et al.: Astron. Astrophys. 518L, 3G (2010)
Haarsma, D.B., Partridge, R.B., Windhorst, R.A., Richards, E.A.: Astrophys. J. 544, 641 (2000)
Hogg, D.W.: arXiv:astro-ph/9905116v4 (2000)
Hopkins, A.M., Beacom, J.F.: Astrophys. J. 651, 142 (2006)
Husemann, B., Jahnke, K., Sanchez, S.F., Wisotzki, L., Nugroho, D., Kupko, D., Schramm, M.: Mon. Not. R. Astron. Soc. 443, 755 (2014)
Karim, A., Schinnerer, E., Martinez-Sansigre, A., Sargent, M.T., van der Wel, A., Rix, H.-W., Ilbert, O., Smolčić, V., Carilli, C., Pannella, M., Koekemoer, A.M., Bell, E.F., Salvato, M.: Astrophys. J. 730, 61 (2011)
Khostovan, A.A., Sobral, D., Mobasher, B., Best, P.N., Smail, I., Stott, J.P., Hemmati, S., Nayyeri, H.: Mon. Not. R. Astron. Soc. 452, 3948 (2015)
Kirkpatrick, A., Pope, A., Alexander, D.M., Charmandaris, V., Daddi, E., Dickinson, M., Elbaz, D., Gabor, J., Hwang, H.S., et al.: Astrophys. J. 759, 139K (2012)
Koprowski, M.P., Dunlop, J.S., Michalowski, M.J., Roseboom, I., Geach, J.E., Cirasuolo, M., Aretxaga, I., Bowler, R.A.A., Banerji, M., et al.: Mon. Not. R. Astron. Soc. 458, 4321 (2016)
Lawton, B., Gordon, K.D., Babler, B., Block, M., Bolatto, A.D., Bracker, S., Carlson, L.R., Engelbracht, C.W., Hora, J.L.: Astrophys. J. 716, 453 (2010)
Lutz, D., Poglitsch, A., Altieri, B., Andreani, P., Aussel, H., Berta, S., Bongiovanni, A., Brisbin, D., Cava, A., et al.: Astron. Astrophys. 532, A90 (2011)
Madau, P., Dickinson, M.: Annu. Rev. Astron. Astrophys. 52, 415 (2014)
Magnelli, B., Elbaz, D., Chary, R.R., Dickinson, M., Le Borgne, D., Frayer, D.T., Willmer, C.N.A.: Astron. Astrophys. 496, 57 (2009)
Magnelli, B., Elbaz, D., Chary, R.R., Dickinson, M., Le Borgne, D., Frayer, D.T., Willmer, C.N.A.: Astron. Astrophys. 528, 35 (2011)
Pereira-Santaella, M., Diamond-Stanic, A.M., Alonso-Herrero, A., Rieke, G.H.: Astrophys. J. 725, 2270P (2010)
Pereira-Santaella, M., Alonso-Herrero, A., Colina, L., Miralles-Caballero, D., Pérez-González, P.G., Arribas, S., Bellocchi, E., Cazzoli, S., Díaz-Santos, T., et al.: Astron. Astrophys. 577, A78 (2015)
Pérez-González, P.G., Rieke, G.H., Egami, E., Alonso-Herrero, A., Dole, H., Papovich, C., Blaylock, M., Jones, J., Rieke, M., Rigby, J., Barmby, P., Fazio, G.G., Huang, J., Martin, C.: Astrophys. J. 630, 82 (2005)
Pérez-González, P.G., Rieke, G.H., Villar, V., Barro, G., Blaylock, M., Egami, E., Gallego, J., Gil de Paz, A., Pascual, S., et al.: Astrophys. J. 675, 234 (2008)
Planck Collaboration, Ade, P.A.R., Aghanim, N., Armitage-Caplan, C., Arnaud, M., Ashdown, F., Atrio-Barandela, F., Aumont, J., Baccigalupi, C., Banday, J., et al.: Astron. Astrophys. 571A, 16P (2014)
Planck Collaboration, Ade, P.A.R., Aghanim, N., Arnaud, M., Ashdown, M., Aumont, J., Baccigalupi, C., Banday, A.J., Barreiro, R.B., Bartlett, J.G., et al.: Astron. Astrophys. 594A, 13P (2016)
Podigachoski, P., Barthel, P.D., Haas, M., Leipski, C., Wilkes, B., Kuraszkiewicz, J., Westhues, C., Willner, S.P., Ashby, M.L.N., et al.: Astron. Astrophys. 575A, 80P (2015)
Poglitsch, A., Waelkens, C., Geis, N., Feuchtgruber, H., Vandenbussche, B., Rodriguez, L., Krause, O., Renotte, E., van Hoof, C., et al.: Astron. Astrophys. 518L, 2P (2010)
Rémy-Ruyer, A., Madden, S.C., Galliano, F., Hony, S., Sauvage, M., Bendo, G.J., Roussel, H., Pohlen, M., Smith, M.W.L., et al.: Astron. Astrophys. 557, 95 (2013)
Rieke, G.H., Young, E.T., Cadien, J., Engelbracht, C.W., Gordon, K.D., Kelly, D.M., Low, F.J., Misselt, K.A., Morrison, J.E., Muzerolle, J., Rivlis, G., Stansberry, J.A., Beeman, J.W., Haller, E.E., Frayer, D.T., Latter, W.B., Noriega-Crespo, A., Padgett, D.L., Hines, D.C., Bean, J.D., et al.: SPIE 5487, 50 (2004)
Rudnick, G., Labbe, I., Forster, S.N.M., Wuyts, S., Franx, M., Finlator, K., Kriek, M., Moorwood, A., Rix, H., Rottgering, H., Trujillo, I., van der Wel, A., van der Werf, P., van Dokkum, P.G.: Astrophys. J. 650, 624 (2006)
Sadler, E.M., Jackson, C.A., Cannon, R.D., McIntyre, V.J., Murphy, T., Bland-Hawthorn, J., Bridges, T., Cole, S., Colless, M., Collins, C., Couch, W., Dalton, G., De Propris, R., Driver, S.P., Efstathiou, G., Ellis, R.S., Frenk, C.S., Glazebrook, K., Lahav, O., Lewis, I., et al.: Mon. Not. R. Astron. Soc. 329, 227 (2002)
Sanders, D.B., Mazzarella, J.M., Kim, D.-C., Surace, J.A., Soifer, B.T.: Astron. J. 126, 1607 (2003)
Santini, P., Fontana, A., Grazian, A., Salimbeni, S., Fontanot, F., Paris, D., Boutsia, K., Castellano, M., Fiore, F., Gallozzi, S., Giallongo, E., Koekemoer, A.M., Menci, N., Pentericci, L., Somerville, R.S.: Astron. Astrophys. 538, 33 (2012)
Santini, P., Ferguson, H.C., Fontana, A., Mobasher, B., Barro, G., Castellano, M., Finkelstein, S.L., Grazian, A., Hsu, L.T., Lee, B., Lee, S.-K., Pforr, J., Salvato, M., Wiklind, T., Wuyts, S., Almaini, O., Cooper, M.C., Galametz, A., Weiner, B., Amorin, R., Boutsia, K., Conselice, C.J., Dahlen, T., Dickinson, M.E., Giavalisco, M., Grogin, N.A., Guo, Y., Hathi, N.P., Kocevski, D., Koekemoer, A.M., Kurczynski, P., Merlin, E., Mortlock, A., Newman, J.A., Paris, D., Pentericci, L., Simons, R., Willner, S.P.: Astrophys. J. 801, 97 (2015)
Schmidt, M.: Astrophys. J. 151, 393 (1968)
Scoville, N.: ASPC 375, 166S (2007)
Seymour, N., Ogle, P., De Breuck, C., Fazio, G.G., Galametz, A., Haas, M., Lacy, M., Sajina, A., Stern, D., Willner, S.P., Vernet, J.: Astrophys. J. 681L, 1S (2008)
Spinrad, H., Marr, J., Aguilar, L., Djorgovski, S.: Publ. Astron. Soc. Pac. 97, 932 (1985)
Wang, L., Rowan-Robinson, M.: Mon. Not. R. Astron. Soc. 401, 35 (2010)
Webb, T., Muzzin, A., Noble, A., Bonaventura, N., Geach, J., Hezaveh, Y., Lidman, C., Wilson, G., Yee, H.K.C., Surace, J., Shupe, D.: Astrophys. J. 814, 96 (2015)
Werner, M.W., Roellig, T.L., Low, F.J., Rieke, G.H., Rieke, M., Hoffmann, W.F., Young, E., Houck, J.R., Brandl, B., Fazio, G.G., Hora, J.L., Gehrz, R.D., Helou, G., Soifer, B.T., Stauffer, J., Keene, J., Eisenhardt, P., Gallagher, D., Gautier, T.N., Irace, W., Lawrence, C.R., Simmons, L., Van Cleve, J.E., Jura, M., Wright, E.L., Cruikshank, D.P.: Astrophys. J. Suppl. Ser. 154, 1 (2004)
Westhues, C., Haas, M., Barthel, P., Wilkes, B.J., Willner, S.P., Kuraszkiewicz, J., Podigachoski, P., Leipski, C., Meisenheimer, K., et al.: Astron. J. 151, 120 (2016)
Wilkins, S.M., Trentham, N., Hopkins, A.M.: Mon. Not. R. Astron. Soc. 385, 687 (2008)
Williams, R.J., Maiolino, R., Santini, P., Marconi, A., Cresci, G., Mannucci, F., Lutz, D.: Mon. Not. R. Astron. Soc. 443, 3780 (2014)
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We appreciate all the valuable comments of the reviewer and the editor which helped us improve the paper significantly. This research has made use of NASA’s Astrophysics Data System Bibliographic Services and the NASA/IPAC Extragalactic Database (NED) which is operated by the California Institute of Technology under contract with the National Aeronautics and Space Admission. This research was supported in part by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) 2017037333.
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This work was supported in part by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) 2017037333.
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Jo, J.U., Youn, S., Kim, S. et al. Star formation rate density across the cosmic time. Astrophys Space Sci 366, 18 (2021). https://doi.org/10.1007/s10509-021-03925-7
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DOI: https://doi.org/10.1007/s10509-021-03925-7