2008

When is star formation episodic? A delay differential equation negative feedback model

Quillen, Alice C., Bland-Hawthorn, Joss

Understand

We introduce a differential equation for star formation in galaxies that incorporates negative feedback with a delay.

When the feedback is instantaneous, solutions approach a self-limiting equilibrium state.
When there is a delay, even though the feedback is negative, the solutions can exhibit cyclic and episodic solutions.
We find that periodic or episodic star formation only occurs when two conditions are satisfied.

Built on

Schmidt, M. 1959, ApJ, 129, 243-258
1959
Earlier work this paper cites.
Ostriker, J. P., Weaver, R., Yahil, A., & McCray, R. 1976, ApJ, 208, L61-L65
1976
Earlier work this paper cites.
Cowie, L. L., Ostriker, J. P., & Stark, A. A. 1978, ApJ, 226, 1041-1062
1978
Earlier work this paper cites.
Gurney, W. S., Blythe, S. P., & Nisbet R. M. 1980, Nature, 287, 17-21
1980
Earlier work this paper cites.
Sellwood, J. A., & Carlberg, R. G. 1984, ApJ, 282, 61
1984
Earlier work this paper cites.
Kulenovic, M. R. S., & Ladas, G. 1987, Bulletin of Mathematical Biology, 49, 615-627
1987
Earlier work this paper cites.
Glass, L. and Mackey, M. C. 1988, From Clocks to Chaos, The Rhythms of Life, (Princeton University Press, Princeton, NJ
1988
Earlier work this paper cites.
Wazewska-Czyzewska, M., & Lasota, A. 1988, Annals of the Polish Mathematical Society, Series III, Applied Mathematics, 17, 23-40
1988
Earlier work this paper cites.
Kulenovic, M. R. S., Ladas, G., & Sficas, Y. G. 1989, Comput. Math. Appl. 18, no. 10-11, 925-928
1989
Earlier work this paper cites.
Györi, I. & Ladas, G. 1991, Oscillation Theory of Delay Differential Equations with Applications, Clarendon Press, Oxford
1991
Earlier work this paper cites.
Tosi, M.., Greggio. L., Marconi., G., & Focardi, P. 1991, AJ, 102, 951-974. Spiral instabilities provoked by accretion and star formation
1991
Earlier work this paper cites.
Pumir, A. 1994, Phys. Fluids, 6(12), 3974
1994
Earlier work this paper cites.
Smecker-Hane, T. A., Stetson, P. B., Hesser, J. E., & Lehnert, M. D. 1994, AJ, 108, 507-513
1994
Earlier work this paper cites.
Veilleux, S., Cecil, G., Bland-Hawthorn, J., Tully, R. B., Filippenko, A. V., & Sargent, W. L. W. 1994, ApJ, 433, 48-64
1994
Earlier work this paper cites.
Kennicutt, R. C., Jr. 1998, ApJ, 498, 541-552
1998
Earlier work this paper cites.
Glazebrook, K., Blake, C., Economou, F., Lilly, S., & Colless, M. 1999, MNRAS, 306, 843-856
1999
Earlier work this paper cites.
Andersen, R.-P., & Burkert, A. 2000, ApJ, 531, 296-311
2000
Earlier work this paper cites.
Rocha-Pinto, H. J., Scalo, J., Maciel, W. J., & Flynn, C. 2000, ApJ, 531, L115-118
2000
Earlier work this paper cites.
Warhaft, Z. 2000, Annual Review of Fluid Mechanics, 32, 203
2000
Earlier work this paper cites.
Cecil, G.N., Bland-Hawthorn, J., Veilleux, S. & Filippenko, A.V. 2001, ApJ, 555, 338-355
2001
Earlier work this paper cites.
Silk, J. 2001, MNRAS, 24, 313-318
2001
Earlier work this paper cites.
Böker, T., Laine, S., van der Marel, R. P., Sarzi, M., Rix, H.-W., Ho, L.C., & Shields, J. C. 2002, AJ, 123, 1389-1410
2002
Earlier work this paper cites.
Dohm-Palmer, R. C., Skillman, E. D., Mateo, M., Saha, A., Dolphin, A., Tolstoy, E., Gallagher, J.S., Cole, A. A. 2002, AJ, 123, 813-831
2002
Earlier work this paper cites.

Similar

Elmegreen, B. G. 2002, ApJ, 577, 206
2002
Cited alongside, same era.
Padoan, P., & Nordlund, A. 2002, ApJ, 576, 870
2002
Cited alongside, same era.
Bland-Hawthorn, & J., Cohen, M. 2003, ApJ, 582, 246-256
2003
Cited alongside, same era.
Dolphin, A. E., Saha, A., Skillman, E. D., Dohm-Palmer, R. C., Tolstoy, E., Cole, A. A., Gallagher, J. S., Hoessel, J. G., Mateo, M. 2003, AJ, 126, 187-196
2003
Cited alongside, same era.
Dong, S., Lin, D. N. C., & Murray, S. D. 2003, ApJ, 596, 930-943
2003
Cited alongside, same era.
Kim, W.-T., Ostriker, E.C., & Stone, J. M. 2003, ApJ, 599, 1157
2003
Cited alongside, same era.
Kravtsov, A. V. 2003, ApJ, 590, L1-4
2003
Cited alongside, same era.
de Avillez, M. A., & Breitschwerdt, D. 2004, A&A, 425, 899-911
2004
Cited alongside, same era.
Gao, Y., & Solomon, P. M. 2004, ApJ, 606, 271-290
2004
Cited alongside, same era.
Monaco, P. 2004, MNRAS 352, 181-204
2004
Cited alongside, same era.
Pelupessy, F. I., van der Werf, P. P., & Icke, V. 2004, A&A, 422, 55-64
2004
Cited alongside, same era.
Christopher, M. H., Scoville, N. Z., Stolovy, S. R., & Yun, M. S. 2005, ApJ, 622, 346-365
2005
Cited alongside, same era.

Then

Joung, M. K. R., & Mac Low, M.-M. 2006, ApJ, 653, 1266-1279
2006
Later among the works it cites.
Krumholz, M. R., Matzner, C. D., & McKee, C. F. 2006, ApJ, 653, 361-382
2006
Later among the works it cites.
Li, Y., Mac Low, M.-M., & Klessen, R. S. 2006, ApJ, 639, 879-896
2006
Later among the works it cites.
Quillen, A. C., Bland-Hawthorn, J., Brookes, M. H., Werner, M. W., Smith, J. D., Stern, D., Keene, J., & Lawrence, C. R. 2006, ApJ, 641, L29-L32
2006
Later among the works it cites.
Walcher, C. J., Böker, T., Charlot, S., Ho, L. C., Rix, H.-W., Rossa, J., Shields, J. C., & van der Marel, R. P. 2006, ApJ, 649, 692-708
2006
Later among the works it cites.
Vorobyov, E. I., Theis, Ch. 2006, MNRAS, 273, 197
2006
Later among the works it cites.
Blitz, L., Fukui, Y., Kawamura, A., Leroy, A., Mizuno, N., & Rosolowsky, E. 2007, Protostars and Planets V, B. Reipurth, D. Jewitt, and K. Keil (eds.), University of Arizona Press, Tucson, 951 pp., 2007., p.81-96
2007
Later among the works it cites.
Booth, C. M., Theuns, T., & Okamoto, T. 2007, MNRAS, 376, 1588-1610
2007
Later among the works it cites.
Ciotti, L., & Ostriker, J. P. 2007, ApJ, 665, 1038-1056
2007
Later among the works it cites.
de Avillez, M. A., & Breitschwerdt, D. 2007, ApJ, 665, L35-L38
2007
Later among the works it cites.
Elmegreen, B. G. 2007, ApJ, 668, 1064-1082
2007
Later among the works it cites.
Glover, S. C. O., & Mac Low, M.-M. 2007, ApJ, 659, 1317
2007
Later among the works it cites.
McKee, C., & Ostriker, E. C. 2007, ARA&A, 45, 565-687
2007
Later among the works it cites.
Padoan, P., Nordlund, A., Kritsuk, A.G., Norman, M.L. & Li, P.S. 2007, ApJ, 661, 972-981
2007
Later among the works it cites.
Piontek, R. A., Ostriker, E.C. 2007, ApJ, 663, 183
2007
Later among the works it cites.
Schaye, J., & Dalla Vecchia, C. 2007 MNRAS in press
2007
Later among the works it cites.
Stinson, G. S., Dalcanton, J. J., Quinn, T., Kaufmann, T., & Wadsley, J. 2007, ApJ, 667, 170-175
2007
Later among the works it cites.
Wada, K., & Norman, C. A. 2007, ApJ, 660, 276-287
2007
Later among the works it cites.
Young, L. M., Skillman, E. D., Weisz, D. R., & Dolphin, A. E. 2007, ApJ, 659, 331-338
2007
Later among the works it cites.
Dellenbusch, K. E., Gallagher, J. S., III, Knezek, P. M., & Noble, A. G. 2008, AJ, ,135, 326-332
2008
Closest in time.
Robertson, B., & Kravtsov, A. 2008, ApJ, in press, 2007arXiv0710.2102
2008
Closest in time.
van Zee, L. 2001, AJ, 121, 2003-2019
2019
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…