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from prestellar cores to protostars - The University of Arizona Press

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´<br />

60 P. ANDRE ET AL.<br />

gravity by a combination<br />

<strong>of</strong> thermal, magnetic, and turbulent pressures<br />

(e.g., Mouschovias 1991; Shu et al. 1987). <strong>The</strong>se <strong>prestellar</strong> condensa-<br />

tions or fragments form and evolve as a result <strong>of</strong> a still poorly unders<strong>to</strong>od<br />

mechanism that may involve ambipolar diffusion (e.g., Mouschovias<br />

1991), the dissipation <strong>of</strong> turbulence (e.g., Nakano 1998), and an outside<br />

impulse (e.g., Bonnell et al. 1997). Once such a condensation becomes<br />

gravitationally unstable and collapses, the main theoretical features <strong>of</strong><br />

the ensuing dynamical evolution have been known since the pioneer-<br />

ing work<br />

<strong>of</strong> Larson (1969). During a probably brief initial phase, the<br />

released gravitational energy is freely radiated away, and the collapsing<br />

fragment stays roughly isothermal. This “runaway” isothermal collapse<br />

phase tends <strong>to</strong> produce a strong central concentration <strong>of</strong> matter with a<br />

<br />

radial density gradient approaching<br />

r<br />

2<br />

at small radii essentially independently<br />

<strong>of</strong> initial conditions (e.g., Whitworth and Summers 1985;<br />

Blottiau et al. 1988; Foster and Chevalier 1993). It ends with the forma-<br />

tion <strong>of</strong> an opaque, hydrostatic pro<strong>to</strong>stellar object in the center (e.g., Larson<br />

1969; Boss and Yorke 1995; Bate 1998). Numerical simulations in fact<br />

predict the successive formations <strong>of</strong> two hydrostatic objects, one before<br />

and one after the dissociation <strong>of</strong> molecular hydrogen (see Boss and Yorke<br />

1995), but we will not distinguish between them here. <strong>The</strong> system then<br />

enters the main accretion phase, during which the central object builds<br />

up its mass ( M) <strong>from</strong> a surrounding infalling envelope ( <strong>of</strong> mass Menv)<br />

and accretion disk, while progressively warming up. In this chapter, we<br />

will refer <strong>to</strong> the system consisting <strong>of</strong> the central object plus envelope and<br />

disk as an accreting proo t star. <strong>The</strong> youngest accreting proo<br />

t . stars have<br />

Menv M and radiate the accretion luminosity Lacc GMMacc/ R. In<br />

the “standard” theory <strong>of</strong> isolated star formation (Shu et al. 1987, 1993),<br />

the collapse initial conditions are taken <strong>to</strong> be (static) singular isothermal<br />

a2 <br />

spheroids ( ( /2 G) r<br />

2, cf. Li and Shu 1996, . 1997), there is no<br />

runaway collapse phase, and the accretion rate Macc<br />

is constant in time<br />

a3/ G, where a is the effective isothermal sound speed. With other col-<br />

lapse initial conditions, the accretion rate is generally time dependent (see<br />

section III.D below).<br />

Observations have shown that the main accretion phase is always accompanied<br />

by a powerful ejection <strong>of</strong> a small fraction <strong>of</strong> the accreted material<br />

in the form <strong>of</strong> prominent bipolar jets or outflows (e.g., Bachiller 1996).<br />

<strong>The</strong>se outflows are believed <strong>to</strong> carry away the excess angular momentum<br />

<strong>of</strong> the infalling matter (e.g., the chapter by Ko¨<br />

nigl and Pudritz, this vol-<br />

ume). When the central object has accumulated most ( 90%) <strong>of</strong> its final,<br />

main-sequence mass, it becomes a pre-main-sequence (PMS) star, which<br />

evolves approximately at fixed mass on the Kelvin-Helmholtz contraction<br />

timescale (e.g., Stahler and Walter 1993). (Note that, during the pro<strong>to</strong>stel-<br />

lar accretion phase, stars more massive than a few 0.1 M<br />

start burning<br />

deuterium whereas stars with masses in excess <strong>of</strong> 8 M<br />

begin <strong>to</strong><br />

burn<br />

hydrogen; see Palla and Stahler 1991.)

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