Modeling the IDV emissions of the BL Lac Objects with a Langevin type stochastic differential equation

TL;DR

This paper models the optical intraday variability of BL Lac Objects using a Langevin stochastic differential equation to describe accretion disk oscillations, supported by preliminary numerical simulations.

Contribution

It introduces a simplified stochastic model for IDV in BL Lac Objects based on Langevin equations, linking disk oscillations to observed variability.

Findings

Preliminary numerical simulations demonstrate the model's potential.

The Langevin equation effectively captures stochastic disk oscillations.

The approach offers a new perspective on IDV mechanisms.

Abstract

In this paper, we introduce a simplified model for explaining the observations of the optical intraday 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, the preliminary numerical simulation results are presented, which are based on the numerical analysis of the Langevin stochastic differential equation.