John K. Cannizzo

The Accretion Disk Limit Cycle Model: Toward an Understanding of the Long-Term Behavior of SS Cygni

We present detailed computations of the limit cycle model for dwarf nova outbursts with application to SS Cygni, the best studied dwarf nova. We examine how secular changes in the input parameters of the model affect the properties associated with the outbursts. For input parameters which reproduce the observed outburst recurrence times and outburst durations for SS Cyg, our time-dependent, accretion disk instability code generates light curves in which one or more short outbursts tend to be sandwiched between two long outbursts. We find that the relative frequency of long versus short outbursts can be influenced by changes in the accretion disk viscosity and mass transfer rate

Tremendous outburst amplitude dwarf novae

For many years, observers have noted the existence of a number of tremendous outburst amplitude dwarf novae. We present a summary of the known observational parameters for these exceptional systems. They show outburst amplitudes of 6-10 mag, have rare outbursts (interoutburst times being months to decades), and only seem to exist in dwarf novae with short orbital periods. We calculate new accretion disk models which can reproduce their outburst behavior very well. It appears that these dwarf novae have low mass transfer rates at minimum, and the viscosity during quiescence is about 10 times smaller than for other dwarf novae. Their relation to SU UMa stars is discussed.

On the outburst recurrence time for the accretion disk limit cycle mechanism in dwarf novae

An attempt is made here to elucidate the dwarf nova outburst time scale in terms of basic physics, and to place limits on the model by using the observed recurrence times. A simple analytical model is developed to describe the limit cycle process, and an expression is obtained for the interval between eruptions. It is shown that the smallness of the amount of mass accreted onto the central white dwarf during eruption can be explained in terms of the propagation of heating and cooling fronts. The dependency of the fraction of the disk mass accreted on the model parameters is derived, and the result is used to construct a semianalytic expression for the recurrence time.

Low States in Cataclysmic Variables

Cataclysmic variables are usually classified into dwarf novae, nova-likes, Z Camelopardalis stars, VY Sculptoris stars, and so on, on the basis of their long-term photometric behavior. We show that some aspects of this behavior may be caused by variations in the mass transfer rate from the secondary star about the current secular mean, and the consequent stability or instability of the accretion disk, if present. The most likely cause of the mass transfer variations on these timescales (years or less) is starspots. Mass transfer variations can cause low states in systems with otherwise steady disks, but they produce only subtle effects on dwarf novae, including variations in the outburst shapes and the standstills of Z Cam systems.

On the long-term behavior of SS Cygni

The complete historical light curve of the dwarf nova SS Cygni taken by the American Association of Variable Star Observers from September 27, 1896 to April 7, 1992 is examined. The data consist of 29,387 daily means based on 180,233 individual observations. The statistical properties of the outburst durations, quiescence intervals, and cycle times associated with the 705 outbursts which occurred during this time are investigated. No significant difference is found between the correlations of the duration of a burst with the length of the following cycle time and the duration of a burst with the length of the preceding cycle time. On the basis of long-term moving averages, the inverse relation between cycle time and quiescent magnitude pointed out by Warner (1987, 1988) is confirmed.

On the decay of outbursts in dwarf novae nad X-ray novae

We perform computations using a time-dependent model for the accretion disk limit-cycle mechanism to examine the decay of the optical light following the peak of a dwarf nova outburst. We present the results of a parameter study of the physical input variables which affect the decay rate. In the model, the decay is brought about by a cooling transition front which begins at large radii in the disk and moves inward. The nature of the decay is strongly influenced by the radial dependence of the accretion disk viscosity parameter alpha. To obtain exponential decays for typical dwarf nova parameters, we require alpha proportional to r(exp epsilon(sub 0)), where epsilon(sub 0) approximately = 0.3-0.4. The exact value of epsilon(sub 0) which produces exponential decays depends on factors such as the mass of the accreting star and the inner radius of the accretion disk. Therefore, the observed ubiquity of exponential decays in two different types of systems (dwarf novae and X-ray novae) leads us to believe that alpha is an unnatural scaling for the viscosity. The physics of the cooling transition front must be self-regulating in that the timescale (-parital derivative of lnSigma(r)/partial derivative +)(exp -1) (where Sigma is the surface density) for mass extraction across the front remains constant. This may be consistent with a scaling alpha proportional to (h/r)(exp n), where h is the local disk semi-thickness and n approximately 1-2. As regards the speed of the cooling front, we find v(sub F)(r) proportional to r(exp p), where p approximately 3 at large radii, with an abrupt transition to p approximately 0 at some smaller radius. The r(exp 3) dependence is much steeper than has been found by previous workers and appears to result from the strong variation of specific heat within the cooling front when the front resides at a large radius in the disk. The outflow of disk material across the cooling front causes a significant departure of dln T(sub dff0/dln r from the standard value of -0.75 (expected from steady state accretion) within about 0.2 dex in radius of the break associated with the cooling front -- T(sub eff) aproximately 10(exp 3.9) K (r/10(exp 10 cm)) (exp -0.1). These effects should be observable with eclipse mapping. Finally, it appears that the relatively slow decay rate for the optical flux in the 1975 outburst of A0620-00 can be accounted for if the primary is a approximately 10 Solar mass black hole.

Accretion disks in active galactic nuclei - Vertically explicit models

A region of the parameter space accessible to accretion disks in AGN is explored using vertically integrated models to describe the thin-disk structure. Particular attention is paid to the role of convection. From a comparison of strongly convective solutions with varying mixing lengths to solutions obtained using a recent theory of convection developed for accretion disks, it is argued that it may be appropriate to take the mixing length to be roughly one-third of a pressure scale height when applying standard mixing-length theory to disks. Scalings are presented for various critical points in the locus of steady-state solutions, and rough estimates of time scales for behavior associated with disk instability are provided.

Accretion disks in active galactic nuclei - Vertically averaged models

Simple models of accretion disks surrounding supermassive black holes in active galactic nuclei are constructed. By considering several different opacity laws, it is shown that some conclusions arrived at by previous investigators are model-dependent. A simple technique is presented for solving the full vertically averaged disk equations taking into account both self-gravity and central object gravity, and gas pressure and radiation pressure. The self-consistency of the standard non-self-gravitating, geometrically thin accretion disk models is discussed and the findings of Lin & Shields (1986, ApJ, 305), that such models are valid only in a restricted parameter space, are confirmed

Cold dissipationless collapse of spherical systems : sensitivity to the initial density law

The collapse of cold, initially spherical systems with varying degrees of central condensation is investigated. The way in which the final shape of a collapsing system depends on the initial density law is examined. For an initial stellar number density rho varies as r exp -n, where n is in the range 0-2.5, the final, nearly prolate shape is given by a/c is approximately equal to 1.28(1 + 0.16 n), where a/c is the ratio of long to short axes of the inertia ellipsoid computed from the moment of inertia tensor of the most tightly bound 80 percent of the mass. The properties associated with the final states in the present computations are also studied. The collapsing systems develop an anisotropic halo dominated by radial orbits surrounding an isotropic core as predicted by Burkert (1990).

The spectral evolution of dwarf nova outbursts

The disk instability model for dwarf nova eruptions is investigated by computing the spectral development of the accretion disk through a complete limit cycle. Observed stellar spectra are used to model the radiation emitted by optically thick annuli within the disc. The general findings agree with those of Smak (1984) and Pringle et al. (1986). It is suggested that the dwarf nova oscillations might be a source of information concerning the evolution of the inner disk and that detailed observations of this phenomenon can be used to test various outburst mechanisms. 74 references.