Correlation among Quasi-Periodic Oscillation Frequencies and Quiescent-State Duration in Black Hole Candidate GRS 1915+105

We discover a definite correlation between the frequency of the quasi-periodic oscillations (QPOs) in quiescent states and the duration of the quiescent state of the transient X-ray source GRS 1915+105. We find that while the QPO frequency can be explained by the oscillation of shocks in accretion flows, the switching of burst to quiescent states (and vice versa) and their duration can be explained by assuming an outflow from the postshock region. The duration of the quiescent state is inversely related to the QPO frequency. We derive this relation. We also find the correlation between the observed low ( approximately 0.001-0.01 Hz) and the intermediate (1-10 Hz) QPO frequencies. Our analytical solutions are verified by analyzing several days of public domain data from the Rossi X-Ray Timing Explorer.