Abstract
In this paper, we introduce a simplified model for explaining the observations of optical intra-day variability (IDV) of the BL Lac Objects. We assume that the source of the IDV are the stochastic oscillations of an accretion disk around a supermassive black hole. The stochastic fluctuations on the vertical direction of the accretion disk are described by using a Langevin type equation with a damping term and a random, white noise type force. Furthermore, preliminary numerical simulation results are presented, which are based on the numerical analysis of the Langevin stochastic differential equation.
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Leung, C.S., Wei, J.Y., Harko, T. et al. Modelling the IDV Emissions of the BL Lac Objects with a Langevin Type Stochastic Differential Equation. J Astrophys Astron 32, 189 (2011). https://doi.org/10.1007/s12036-011-9026-3
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DOI: https://doi.org/10.1007/s12036-011-9026-3