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  本文選題：耀變體 + 光變��； 參考：《云南師范大學》2015年碩士論文

【摘要】：耀變體是宇宙中最劇烈的活動現(xiàn)象之一。由于耀變體活動與星系中心的超大質量黑洞有聯(lián)系,因此,耀變體光變數(shù)據(jù)分析和光變模型建立對解決星系中心超大質量黑洞的吸積與噴流過程有重要作用。論文利用卡方評價方法和Lomb-Scargl算法研究了S5 0716+714的周期特性,并從數(shù)學角度簡要對比這兩種算法的異同。得到光變周期后,利用全局熱吸積盤理論估計S5 0716+714的中心黑洞質量,對影響黑洞質量的粘滯系數(shù)和多普勒因子做相應討論。研究表明AGN的光變可能是一種非線性現(xiàn)象,我們采用現(xiàn)代數(shù)學中的分形理論、關聯(lián)維和相空間方法繼續(xù)研究觀測數(shù)據(jù),并定量表征了光曲線的混沌特性。研究結果表明,耀變體S5 0716+714的中心黑洞是一個受到各種噪聲影響的低維混沌系統(tǒng)。為從理論上驗證上述研究結果,我們基于Harko等人建立的隨機振蕩吸積盤模型,通過常數(shù)變易法求解了郎之萬微分方程在過阻尼、臨界阻尼和小阻尼三種情況下的解析解,并對模擬光曲線的功率譜密度進行了研究,指出盡管這種吸積盤模型可以獲得較大范圍的功率譜密度,但是在形貌上模擬光變曲線與真實觀測數(shù)據(jù)卻存在較大差異。作為改進,我們結合本文的數(shù)據(jù)分析結果,引入混沌因素,構造了“混沌+隨機”振蕩吸積盤模型,分別給出混沌因素占優(yōu)、混沌與隨機因素相當、隨機因素占優(yōu)三種情況下的模擬光變曲線,最后所得的模擬光變曲線與觀測數(shù)據(jù)不僅在形貌上非常相似,而且在混沌分析方法下,二者的關聯(lián)維幾乎一致。本文所構造的“混沌+隨機”振蕩吸積盤模型比Harko等人的隨機振蕩吸積盤模型更接近于實際觀測。
[Abstract]:It is one of the most violent phenomena in the universe.Because the activity of the supermassive black hole in the center of the galaxy is related to the activity of the glowing body, the analysis of the light variation data and the establishment of the light variation model play an important role in solving the accretion and jet process of the supermassive black hole in the center of the galaxy.In this paper, the periodic characteristics of S5 0716 714 are studied by chi-square evaluation method and Lomb-Scargl algorithm, and the similarities and differences between the two algorithms are compared from the point of view of mathematics.The global thermal accretion disk theory is used to estimate the mass of the central black hole of S5 0716 714. The viscosity coefficient and Doppler factor affecting the mass of the black hole are discussed.The study shows that the photovariation of AGN may be a nonlinear phenomenon. We use the fractal theory in modern mathematics, correlation and phase space methods to continue to study the observed data, and quantitatively characterize the chaotic characteristics of the optical curve.The results show that the central black hole of S5 0716 714 is a low-dimensional chaotic system affected by various noises.In order to verify the above results theoretically, based on the stochastic oscillating accretion disk model established by Harko et al, we solve the analytic solutions of Langzhiwan differential equation under three cases of overdamping, critical damping and small damping by constant variable method.The power spectral density of the simulated optical curve is studied. It is pointed out that although the accretion disk model can obtain a large range of power spectral density, there is a great difference between the simulated optical curve and the real observed data in morphology.As an improvement, we combine the data analysis results of this paper and introduce chaotic factors to construct the chaotic random oscillating accretion disk model. The chaotic factors are dominant, and the chaos is the same as the random factors.At last, the simulated phototropic curve is very similar to the observed data, and the correlation dimension of the two curves is almost the same under the chaotic analysis method.The chaotic random oscillatory accretion disk model constructed in this paper is closer to the actual observation than that of Harko et al.
【學位授予單位】：云南師范大學
【學位級別】：碩士
【學位授予年份】：2015
【分類號】：P145.8;P157

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本文編號：1740685