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研究生： 賴資佳
Lai, Zi-Jia
論文名稱： 利用合成樣本研究快速電波爆與暗物質暈之關聯
Exploring the FRB-halo connection through mock population modeling
指導教授： 邱奕儂
Chiu, I-Non
學位類別： 碩士
Master
系所名稱： 理學院 - 物理學系
Department of Physics
論文出版年： 2026
畢業學年度： 114
語文別： 英文
論文頁數： 65
中文關鍵詞： 快速電波爆 、N-body 模擬 、mocks
外文關鍵詞： Fast radio bursts, N-body simulation, semi-analytic mock generation, FRB-halo connection
相關次數： 點閱：7  下載：0 
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    • 重子遺失問題（missing baryon problem）為現代宇宙學中尚未完全解決的重要課題之一，目前觀測結果顯示約有 $sim 30%$ 的重子物質尚未被直接探測到。快速電波爆（fast radio bursts, FRBs）所提供的色散量（dispersion measure, DM）被認為是一種嶄新且獨立的重子探測方法，然而 FRBs 的起源機制至今仍未明朗。
    本研究類比既有的 halo–galaxy connection，建立一個 FRB 與暗物質暈（halo）之間的關聯架構（FRB–halo connection）。我們對 FRBs 的宿主環境做出簡化假設，並結合既有文獻中所建立之 halo–galaxy 關聯模型，進而引入恆星質量 $(M_*)$ 與恆星形成率 $(mathrm{SFR})$，分別作為老年與年輕恆星族群的 FRB 代理量（proxies）。
    在方法上，本研究稍微修正了 mock galaxy 的製造過程，並提出一個理論上的 DM–$z$ 關係近似式。我們據此建立 mock 樣本並進行分析，同時推導在 $N$-body 模擬下，這些代理量所對應的局部解析度。結果顯示，我們所使用的 $N$-body 模擬之最小 halo 質量的劇烈變化將對分析結果造成不可忽略之誤差。此效應的進一步探討則留待未來研究。

    "Missing baryon problem" is one of the unsolved problems in cosmological studies, in which up to $sim 30%$ of the total baryon content is regarded as missing. Dispersion measures from fast radio bursts (FRBs) are thought to provide a new, independent probe for baryons. However, the origin of FRBs remains unclear. In this study, we develop an "FRB-halo connection", in analogy with the well-established halo-galaxy connection. We make simple assumptions about the host environment of FRBs, and combine this with halo-galaxy connections from previous studies. We introduce stellar mass $(M_*)$ and star formation rate $(mathrm{SFR})$ as possible FRB proxies for old stellar population and young stellar population, respectively.
    In this study, we construct physically motivated mock galaxies and mock FRBs. We also propose an approximation to the DM-z relation in theory. We present our mock results in this thesis. We also formulate the local resolutions of our proxies in an $N$-body simulations. We find that the abrupt increase of minimum halo mass leads to non-negligible errors in our analysis. Further investigation of this effect is deferred to future work.

    摘要 I Abstract II 致謝 III Contents IV List of Figures VI Chapter1 Introduction 1 1.1 Overview of Fast Radio Bursts (FRBs) 1 1.2 Interactions between FRB photons and the Universe 1 1.3 Overview of cosmic baryon contents 2 1.4 Restrictions of the applications of real FRBs 6 1.5 Our goal in this graduate thesis 7 Chapter2 Materialsand Methods 9 2.1 Overview 10 2.1.1 Theoretical FRB observed rates 10 2.1.2 Pipeline for our mocks generation 10 2.2 The 𝑁-body simulations 11 2.2.1 Our adopted halo catalogs 11 2.3 Mock samples of galaxies 13 2.3.1 Stellar mass 13 2.3.2 Angular position 15 2.3.3 Star formation rate(SFR) 16 2.3.4 Mock LRG catalogs 17 2.4 Mock observables of fast radio bursts 18 2.4.1 Fluence 18 2.4.2 FRB observed rate 18 2.4.3 Position 19 2.4.4 Dispersion Measure(DM) 20 Chapter3 Results 23 3.1 Mock galaxies 23 3.1.1 Stellar mass 23 3.1.1.1 General descriptions of 𝑀∗ in halos 24 3.1.2 Angular position 28 3.1.3 SFR 28 3.1.3.1 General descriptions of SFR in halos 28 3.1.4 Mock LRGs 31 3.2 Mock FRBs 31 3.2.1 Dispersion Measure 31 3.2.2 Energy and fluence 32 3.2.3 FRB occurence rate 32 Chapter4 Discussion and Conclusions 38 4.1 Discussion 38 4.1.1 Applicability of our mock-generation pipeline 38 4.1.2 Discussions on the completeness of 𝑀∗ and SFR 39 4.1.2.1 Does proxy 1 – 𝑀∗ serve as a precise enough tracer for 𝑁-body simulations? 39 4.1.2.2 Does proxy 2 – SFR serve as a precise enough tracer for 𝑁-body simulations? 39 4.1.2.3 Brief summary of these two proxies 40 4.1.2.4 Applications of these two proxies to our halo samples 40 4.2 Conclusion 41 Reference 43 Appendix A: Possible substitution of our datasets 52 Appendix B: Derivation of the parameters in DM-z relation 53

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