Limit cycles of accretion disks in the Rapid Burster and GRS 1915+105

The Rapid Burster is known to show rapidly repetitive bursts (Type II bursts). An interesting feature of the Type II burst is an approximate proportionality of the burst duration to the time to the next burst. The time sequence from a burst to the following quiescent phase can be said to be a time-scale invariant high (burst phase)–low (quiescent phase) transition. The Galactic superluminal source, GRS 1915+105 exhibits a variety of the time variation of the X-ray flux and often repeats transitions between a high-flux level and a low-flux level. In such high–low transitions, Belloni et al. (1997b) found an approximate proportionality between the duration of the low-flux phase and that of the following high-flux phase, over a wide range of the time scale. This low–high transition can again be said to be time-scale invariant. However, an interesting difference between the two time scale invariant transitions is an opposite order of the high and low-flux phase in the time-scale invariant sequence. In the case of the Rapid Burster, the high-flux (burst) phase is the first, while the low-flux phase is the first in the case of GRS1915+105. A limit cycle between an accretion disk in a state of the standard-disk and that in a state of the ADAF (advection dominated accretion flow) is discussed to explain the time-scale invariant high–low (or low–high) transition as well as the difference between the neutron star system and the black-hole system, qualitatively. A phenomenological relation of the accretion disk change with mass ejections from the central part of the disk is also discussed.