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The Astrophysical Journal, 779:89 (5pp), 2013 December 10 C 2013.

doi:10.1088/0004-637X/779/1/89

The American Astronomical Society. All rights reserved. Printed in the U.S.A.

ERRATUM: “A UNIVERSAL, LOCAL STAR FORMATION LAW IN GALACTIC CLOUDS, NEARBY GALAXIES, HIGH-REDSHIFT DISKS, AND STARBURSTS” (2012, ApJ, 745, 69) Mark R. Krumholz1 , Avishai Dekel2 , and Christopher F. McKee3

1

Department of Astronomy, University of California, Santa Cruz, CA 95064, USA; [email protected] 2 Racah Institute of Physics, The Hebrew University, Jerusalem 91904, Israel; [email protected] 3 Departments of Physics and Astronomy, University of California, Berkeley, CA 94720, USA; [email protected] Received 2013 October 11; published 2013 November 26

Online-only material: color figures The published version of this paper contained three errors related to the data presented in Tables 3 and 4. First, due to a coding error, the object names are incorrect for some of the galaxies in Table 3. This did not affect the data themselves, only the labels assigned √ in the table. Second, again due a coding error, some of the computed free-fall times given in Table 4 were off by a factor of π . The third was an incorrect entry for VIIZw 31 in Table 3; this goes back to an error in Daddi et al. (2010b), which was propagated into this paper. Below we give corrected versions of Tables 3 and 4 from the published paper, a corrected version of Table 1 giving new best-fit parameters calculated from the corrected data, and new versions of the figures showing the corrected data. None of the conclusions of the paper are affected by these changes. In particular, correcting these errors changes the best-fit value for ff in the relation Σ˙ ∗ = ff (Σ/tff ) from 0.010 to 0.015, while reducing the scatter from a factor of 2.8 to a factor of 2.7. Table 1 Best Fit Parameters Data Included in Fit

Fits to Figure 1, functional Unresolved extragalactic disks Unresolved extragalactic starbursts All data

Scattera

q

η formb

Σ˙ ∗ =

ηΣq

0.00019 0.0028 0.012

1.31 1.26 0.78

2.2 2.3 18

1.13 1.1 0.50

2.7 2.9 19

Fits to Figure 2, functional formb Σ˙ ∗ = η(Σ/torb )q All unresolved extragalactic All unresolved extragalactic, q = 1 All

0.23 0.23 0.50

Fits to Figure 3, functional form Σ˙ ∗ = η(Σ/tff ) All

···

0.015

2.7

Notes. a The scatter given is a multiplicative factor, so a scatter of unity indicates perfect agreement between data and fit. b In these fits Σ ˙ ∗ has units of M pc−2 Myr−1 , Σ has units of M pc−2 , and torb has units of Myr. Table 3 Unresolved Local Extragalactic Data Set Object NGC 253 NGC 660 NGC 828 NGC 891 NGC 1097 NGC 1614 NGC 1808 NGC 2146 NGC 3034 NGC 3256 NGC 3351 NGC 3504 NGC 3627 NGC 4736 NGC 5194 NGC 5236 NGC 6240

D/SBa

log Σ (M pc−2 )

log torb (Myr)

log Σ/torb (M pc−2 Myr−1 )

log Σ˙ ∗ (M pc−2 Myr−1 )

log tff,GMC b (Myr)

log tff,T c (Myr)

log Σ/tff d (M pc−2 Myr−1 )

100ff e

SB SB SB SB SB SB SB SB SB SB SB SB SB SB SB SB SB

2.60 1.85 2.91 1.86 1.92 2.97 1.90 2.08 2.77 2.38 2.08 2.15 1.53 1.50 1.74 2.12 3.36

1.18 1.66 1.41 1.34 1.46 1.28 1.72 1.51 0.95 2.09 1.11 1.30 1.58 1.15 1.64 1.32 1.38

1.42 0.19 1.50 0.52 0.46 1.69 0.18 0.57 1.82 0.29 0.97 0.85 −0.05 0.35 0.10 0.80 1.98

1.00 −0.18 0.86 −0.82 −0.44 1.55 −0.16 0.60 1.24 0.44 −0.00 −0.13 −1.01 −0.42 −1.35 0.06 1.63

1.63 1.82 1.55 1.82 1.80 1.54 1.81 1.76 1.59 1.69 1.76 1.74 1.90 1.91 1.85 1.75 1.44

−0.28 0.21 −0.04 −0.11 0.01 −0.17 0.26 0.05 −0.50 0.63 −0.34 −0.15 0.13 −0.31 0.19 −0.13 −0.07

2.88 1.64 2.95 1.97 1.91 3.14 1.64 2.03 3.27 1.75 2.42 2.30 1.40 1.81 1.55 2.25 3.43

1.32 1.50 0.81 0.16 0.44 2.53 1.59 3.71 0.93 4.91 0.38 0.37 0.38 0.59 0.13 0.64 1.57

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The Astrophysical Journal, 779:89 (5pp), 2013 December 10

Erratum: 2012, ApJ, 745, 69 Table 3 (Continued)

Object NGC 6946 IC 883 IC 1623 Maffei 2 Arp 55 Arp 220 IR 10173+0828 VII Zw 31 ZW 049 NGC 224 NGC 598 NGC 772 NGC 925 NGC 1569 NGC 2336 NGC 2403 NGC 2841 NGC 2903 NGC 2976 NGC 3031 NGC 3310 NGC 3338 NGC 3368 NGC 3486 NGC 3521 NGC 3631 NGC 3675 NGC 3726 NGC 3893 NGC 4178 NGC 4254 NGC 4258 NGC 4294 NGC 4303 NGC 4321 NGC 4394 NGC 4402 NGC 4501 NGC 4519 NGC 4535 NGC 4548 NGC 4561 NGC 4569 NGC 4571 NGC 4579 NGC 4639 NGC 4647 NGC 4651 NGC 4654 NGC 4689 NGC 4698 NGC 4713 NGC 4736 NGC 5033 NGC 5055 NGC 5194 NGC 5236 NGC 5457 NGC 6207 NGC 6217 NGC 6503 NGC 6643 NGC 6946 NGC 7331

D/SBa

log Σ (M pc−2 )

log torb (Myr)



log tff,GMC b (Myr)

log tff,T c (Myr)

log Σ/tff d (M pc−2 Myr−1 )

100ff e

SB SB SB SB SB SB SB SB SB D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D D

1.51 3.20 3.06 1.71 1.98 4.01 1.66 2.36 3.15 0.68 1.03 0.94 0.91 1.33 0.91 0.88 0.97 0.86 0.98 0.85 1.14 0.81 0.93 0.88 1.22 1.16 0.99 1.06 1.06 1.13 1.39 0.59 1.02 1.21 1.14 0.63 1.08 1.09 0.99 1.01 0.69 1.52 0.61 0.83 0.81 0.73 1.04 1.06 1.10 0.94 0.25 1.04 0.65 0.93 1.17 1.47 1.70 1.09 1.03 1.29 0.89 1.11 1.30 1.08

1.97 1.36 1.38 1.89 2.13 0.78 2.23 2.07 1.28 2.66 2.60 2.90 2.86 2.30 2.87 2.54 2.20 2.49 2.11 2.43 2.40 2.60 2.43 2.51 2.52 2.69 2.34 2.51 2.48 2.59 2.54 2.68 2.48 2.68 2.65 2.51 2.62 2.52 2.46 2.72 2.53 2.20 2.70 2.67 2.45 2.34 2.54 2.43 2.54 2.51 2.40 2.51 2.43 2.89 2.58 2.53 2.45 2.94 2.41 2.46 2.23 2.57 2.54 2.76

−0.46 1.84 1.68 −0.18 −0.15 3.23 −0.57 0.29 1.87 −1.98 −1.57 −1.96 −1.95 −0.97 −1.96 −1.66 −1.23 −1.63 −1.13 −1.58 −1.26 −1.79 −1.50 −1.63 −1.30 −1.53 −1.35 −1.45 −1.42 −1.46 −1.15 −2.09 −1.46 −1.47 −1.51 −1.88 −1.54 −1.43 −1.47 −1.71 −1.84 −0.68 −2.09 −1.84 −1.64 −1.61 −1.50 −1.37 −1.44 −1.57 −2.15 −1.47 −1.78 −1.96 −1.41 −1.06 −0.75 −1.85 −1.38 −1.17 −1.34 −1.46 −1.24 −1.68

−0.54 1.30 1.43 −0.51 0.08 2.74 0.24 0.58 1.53 −3.37 −2.71 −3.08 −2.68 −1.04 −2.16 −2.39 −3.23 −2.55 −1.90 −2.74 −1.38 −2.80 −2.79 −2.70 −2.15 −1.97 −2.25 −2.52 −2.20 −2.51 −1.94 −2.60 −2.11 −1.98 −2.31 −3.12 −3.04 −2.45 −2.22 −2.62 −2.76 −2.17 −3.02 −2.80 −2.56 −2.35 −2.46 −2.22 −2.30 −2.62 −3.79 −1.77 −2.46 −2.88 −2.56 −2.02 −1.65 −2.70 −1.94 −2.15 −2.32 −2.05 −2.12 −2.57

1.90 1.48 1.52 1.85 1.79 1.28 1.87 1.69 1.49 1.41 1.33 1.35 1.36 1.25 1.36 1.36 1.34 1.37 1.34 1.37 1.30 1.38 1.35 1.36 1.28 1.29 1.34 1.32 1.32 1.30 1.24 1.44 1.33 1.28 1.30 1.43 1.31 1.31 1.34 1.33 1.41 1.20 1.43 1.38 1.38 1.40 1.32 1.32 1.31 1.35 1.52 1.32 1.42 1.35 1.29 1.22 1.16 1.31 1.33 1.26 1.36 1.31 1.26 1.31

0.52 −0.09 −0.07 0.44 0.67 −0.67 0.77 0.62 −0.17 1.36 1.30 1.60 1.56 1.00 1.57 1.24 0.90 1.19 0.81 1.13 1.10 1.30 1.13 1.20 1.22 1.39 1.04 1.20 1.17 1.29 1.24 1.38 1.17 1.38 1.35 1.20 1.32 1.22 1.16 1.41 1.23 0.90 1.40 1.37 1.14 1.04 1.24 1.13 1.24 1.20 1.10 1.20 1.13 1.58 1.28 1.23 1.14 1.64 1.11 1.16 0.93 1.27 1.24 1.46

0.99 3.29 3.13 1.27 1.31 4.68 0.89 1.74 3.32 −0.68 −0.27 −0.41 −0.45 0.33 −0.45 −0.36 0.07 −0.33 0.17 −0.28 0.04 −0.49 −0.20 −0.32 0.00 −0.13 −0.05 −0.14 −0.11 −0.16 0.15 −0.79 −0.15 −0.07 −0.16 −0.57 −0.23 −0.13 −0.17 −0.32 −0.54 0.62 −0.79 −0.54 −0.33 −0.31 −0.20 −0.07 −0.14 −0.26 −0.85 −0.16 −0.48 −0.42 −0.11 0.25 0.56 −0.22 −0.08 0.13 −0.04 −0.16 0.06 −0.23

2.93 1.01 1.97 1.65 5.91 1.13 22.37 6.86 1.60 0.20 0.36 0.21 0.58 4.23 1.92 0.93 0.05 0.60 0.85 0.34 3.74 0.49 0.25 0.42 0.70 1.45 0.63 0.42 0.82 0.44 0.80 1.53 1.10 1.22 0.70 0.28 0.15 0.47 0.89 0.50 0.60 0.16 0.58 0.55 0.59 0.91 0.55 0.70 0.69 0.44 0.11 2.45 1.04 0.34 0.35 0.53 0.62 0.33 1.38 0.52 0.52 1.27 0.66 0.46

Notes. All data are taken from Kennicutt (1998), adjusted to the same IMF and CO X factor as the high-z data following Daddi et al. (2010b). a D: disk; SB: starburst. b Computed from Equation (4) of the published paper using σ = 8 km s−1 for disks and σ = 50 km s−1 for starbursts. c Computed from Equation (8) of the published paper using Q = 1, β = 0 for disks and Q = 1, β = 1 for starbursts. d Computed using tff = min(tff,GMC , tff,T ). e Computed from ff = Σ˙ ∗ /(Σ/ min(tff,GMC , tff,T ).

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Erratum: 2012, ApJ, 745, 69

Table 4 Unresolved High-z Extragalactic Data Set Objecta

D/SBb

log Σ (M pc−2 )

log torb (Myr)



log tff,GMC c (Myr)

log tff,T d (Myr)

log Σ/tff e (M pc−2 Myr−1 )

100ff f

1.60 1.62 1.40 1.62 1.28 1.64 1.60 1.53 1.49 1.43

1.28 0.52 0.26 0.41 −0.09 0.66 0.53 0.42 0.35 0.25

1.46 2.11 3.27 2.25 4.09 1.92 2.20 2.57 2.83 3.17

0.73 5.38 3.64 6.18 1.29 5.14 6.47 3.32 2.89 1.59

1.56 1.51 1.47 1.42 1.71 1.42 1.46 1.37 1.44 1.36 1.48 1.36 1.28

0.59 0.44 0.59 0.24 0.34 0.34 0.29 0.19 0.04 0.24 0.34 −0.16 −0.26

2.31 2.66 2.66 3.21 1.96 3.11 3.01 3.46 3.31 3.46 2.86 3.86 4.26

6.22 3.50 3.12 0.78 27.80 3.93 6.22 2.21 4.94 3.12 17.54 5.55 2.78

1.68 1.65 1.84

1.03 1.03 1.03

1.36 1.50 0.72

1.46 1.38 1.01

1.54 1.54 1.64 1.62 1.65 1.56

0.79 0.57 0.78 0.97 1.09 1.20

2.16 2.39 1.78 1.69 1.44 1.68

0.82 0.63 1.56 2.16 3.34 2.32

1.57 1.74 1.67 1.71 1.82 1.58 1.82 1.67 1.76 1.43 1.73 1.56 1.48 1.78 1.67 1.49

0.97 1.27 0.98 1.23 1.15 1.07 1.53 1.28 1.07 0.61 1.22 1.23 0.76 1.04 1.04 0.74

1.88 0.88 1.49 1.07 0.72 1.74 0.30 1.16 1.00 2.81 0.97 1.64 2.44 0.97 1.41 2.41

0.69 2.52 0.88 2.13 5.78 1.03 7.63 4.65 2.39 0.40 2.74 1.52 0.52 2.35 1.27 0.41

Data from Genzel et al. (2010) Q2343-MD59 SMMJ02399−0136 SMMJ09431+4700 SMMJ105141+5719 SMMJ123549+6215 SMMJ123634+6212 SMMJ123707+6214 SMMJ131201+4242 SMMJ131232+4239 SMMJ163650+4057

D SB SB SB SB SB SB SB SB SB

2.74 2.63 3.53 2.66 4.00 2.58 2.73 2.99 3.18 3.42

2.34 1.73 1.47 1.62 1.12 1.87 1.74 1.63 1.56 1.46

··· ··· ··· ··· ··· ··· ··· ··· ··· ··· ··· ··· ···

SB SB SB SB SB SB SB SB SB SB SB SB SB

2.90 3.10 3.25 3.45 2.30 3.45 3.30 3.65 3.35 3.70 3.20 3.70 4.00

1.80 1.65 1.80 1.45 1.55 1.55 1.50 1.40 1.25 1.45 1.55 1.05 0.95

··· ··· ···

D D D

2.39 2.53 1.75

2.08 2.08 2.08

BzK-4171 BzK-21000 BzK-16000 BzK-17999 BzK-12591 BzK-25536

D D D D D D

2.95 2.96 2.56 2.66 2.53 2.88

1.84 1.62 1.83 2.02 2.15 2.25

−0.68 0.84 1.83 1.04 2.20 0.63 1.01 1.09 1.29 1.37

0.40 0.90 2.06 1.04 2.88 0.71 0.99 1.36 1.62 1.96

Data from Bouch´e et al. (2007) 1.10 1.45 1.45 2.00 0.75 1.90 1.80 2.25 2.10 2.25 1.65 2.65 3.05

1.10 1.20 1.15 1.10 1.40 1.70 1.80 1.80 2.00 1.95 2.10 2.60 2.70

Data from Daddi et al. (2010b) −0.47 −0.36 −1.27

0.31 0.44 −0.33

Data from Daddi et al. (2010a) 1.11 1.34 0.73 0.64 0.38 0.63

0.08 0.19 −0.03 0.03 −0.04 0.05

Data from Tacconi et al. (2010) EGS13004291 EGS12007881 EGS13017614 EGS13035123 EGS13004661 EGS13003805 EGS12011767 EGS12012083 EGS13011439 HDF-BX1439 Q1623-BX599 Q1623-BX663 Q1700-MD69 Q1700-MD94 Q1700-MD174 Q1700-BX691

D D D D D D D D D D D D D D D D

2.85 2.15 2.46 2.30 1.87 2.80 1.83 2.44 2.07 3.42 2.19 2.87 3.20 2.01 2.45 3.15

2.02 2.33 2.03 2.28 2.21 2.12 2.58 2.33 2.12 1.67 2.28 2.29 1.82 2.09 2.09 1.79

−0.28 −0.72 −0.57 −0.61 −0.52 −0.25 −0.82 −0.17 −0.62 0.41 −0.60 −0.18 0.16 −0.66 −0.49 0.03

0.83 −0.17 0.43 0.01 −0.34 0.69 −0.75 0.11 −0.05 1.75 −0.09 0.59 1.38 −0.08 0.36 1.36

Notes. a A blank entry indicates the object is not identified by name in the source reference. b D: disk; SB: starburst. c Computed from Equation (4) of the published paper using σ = 8 km s−1 for disks and σ = 50 km s−1 for starbursts. d Computed from Equation (8) of the published paper using Q = 1, β = 0 for disks and Q = 1, β = 1 for starbursts. e Computed using t = min(t ff ff,GMC , tff,T ). f Computed from = Σ ˙ ∗ /(Σ/ min[tff,GMC , tff,T ]). ff

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Erratum: 2012, ApJ, 745, 69

Figure 1. Corrected version of Figure 1 from the published paper. For details on the points, see the caption to the original figure. (A color version of this figure is available in the online journal.)


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Erratum: 2012, ApJ, 745, 69



We thank R. Feldmann and C. Federrath for their assistance in detecting the errors in the published paper. REFERENCES Bouch´e, N., Cresci, G., Davies, R., et al. 2007, ApJ, 671, 303 Daddi, E., Bournaud, F., Walter, F., et al. 2010a, ApJ, 713, 686 Daddi, E., Elbaz, D., Walter, F., et al. 2010b, ApJL, 714, L118 Genzel, R., Tacconi, L. J., Gracia-Carpio, J., et al. 2010, MNRAS, 407, 2091 Kennicutt, R. C., Jr. 1998, ApJ, 498, 541 Tacconi, L. J., Genzel, R., Neri, R., et al. 2010, Natur, 463, 781

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