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Modelling the IDV Emissions of the BL Lac Objects with a Langevin Type Stochastic Differential Equation

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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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Authors and Affiliations

  1. National Astronomical Observatories, Chinese Academy of Sciences, 20A Datun Road, Chaoyang District, Beijing, China

    C. S. Leung & J. Y. Wei

  2. Department of Physics and Center for Theoretical and Computational Physics, The University of Hong Kong, Pok Fu Lam Road, Hong Kong, PR China

    T. Harko & Z. Kovacs

Authors
  1. C. S. Leung
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  2. J. Y. Wei
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  3. T. Harko
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  4. Z. Kovacs
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Correspondence to C. S. Leung.

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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

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