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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 黃美嬌(Mei-Jiau Huang) | |
dc.contributor.author | Pei-Sheng Chien | en |
dc.contributor.author | 簡培盛 | zh_TW |
dc.date.accessioned | 2021-06-15T13:46:54Z | - |
dc.date.available | 2020-12-01 | |
dc.date.copyright | 2015-12-01 | |
dc.date.issued | 2015 | |
dc.date.submitted | 2015-11-24 | |
dc.identifier.citation | [1] H. J. Goldsmid, 'Introduction to Thermoelectricity' , 1 ed. : Springer, 2009.
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dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/51733 | - |
dc.description.abstract | 本論文主要研究目的為建立一全頻蒙地卡羅法(MC)數值工具來分析半導體材料內的熱傳導行為,藉由此數值工具可追蹤並記錄聲子的運動及分布情形,進而求得其不同頻率及不同極化之聲子對材料熱傳導係數的貢獻。
蒙地卡羅法的理論基礎為聲子波茲曼傳輸方程式(PBTE),在求解聲子波茲曼傳輸方程式的過程中,聲子性質部分是由實驗量測之材料色散關係以及溫度來決定,每顆聲子皆擁有各自獨立的速度、頻率及極化,並因而有各自各種散射機制的散射頻率,其中散射機制使用的是Holland所提出之經驗方程式;同時亦建立及設計了適當的數值邊界條件,並利用存在於系統中的統計對稱性條件來減少計算量。 本論文選擇鍺(Ge)塊材內的聲子傳輸現象為測試例。首先比較有無灰介質假設下之聲子性質。研究結果說明在灰介質假設下之聲子群速比多數頻率之聲子群速低,但卻高於聲子量最多的高頻橫波聲子群速;灰介質假設下之聲子平均散射頻率也普遍較低,但高於熱傳貢獻較大的低頻縱波聲子的散射頻率;綜合以上兩者,灰介質假設下之聲子平均自由路徑較長,但低於熱傳貢獻較大的低頻縱波聲子的平均自由路徑。最後在熱傳導係數的貢獻上,雖然縱波低頻聲子對比熱的貢獻不及高頻聲子,但其速度較快且散射頻率較低,故在材料內其熱傳的貢獻最大。 在模擬工具的驗證方面,研究結果顯示模擬過程中有三種情況需重設聲子的性質:當聲子發生本質散射時、當聲子撞擊材料邊界發生邊界散射時、以及為了滿足能量守恆而需增加聲子時。重設聲子性質的方法為影響模擬準確性的關鍵因素,決定聲子的性質時,應分別依聲子發生事件之機率為比例進行聲子性質的重新設定,因此前述三種情況應分別以本質散射頻率為權重、聲子速率為權重、及無權重下之平衡聲子分佈函數為比例,配合電腦亂數隨機挑選之。最後研究設計一熱流控制邊界條件來產生非平衡系統,進而量測得鍺塊材之熱傳導係數,結果顯示理論及模擬之值相吻合,本研究成功開發出一全頻蒙地卡羅法數值模擬工具。 | zh_TW |
dc.description.abstract | This study aims at developing a full-spectrum Monte-Carlo (MC) simulation tool for phonon flow in semiconductors. The phonon Boltzmann transport equation (PBTE) was solved based on the bulk phonon dispersion relation and Holland’s empirical relations for various scattering mechanisms. Most of all, this research reveals proper ways to reset the phonon properties for different scattering mechanisms, namely, it must be done based on the actual probabilities of scattering events.
A 1D system with either periodic boundary conditions, adiabatic boundary conditions, or constant boundary temperatures was employed to verify the accuracy of the proposed simulation tool. The study demonstrates that the phonon properties must be randomly selected from the un-weighted local equilibrium phonon population distribution, the weighted one by the three-phonon scattering rate, or the weighted one by the phonon group velocity respectively when a local energy imbalance, a three-phonon scattering event, or a boundary scattering event occurs. The accuracy of the proposed simulation tool was finally confirmed via a transient problem and a steady problem. | en |
dc.description.provenance | Made available in DSpace on 2021-06-15T13:46:54Z (GMT). No. of bitstreams: 1 ntu-104-R02522113-1.pdf: 3363362 bytes, checksum: 478588f60e7d9f19ec990321f693f075 (MD5) Previous issue date: 2015 | en |
dc.description.tableofcontents | 口試委員會審定書 I
誌謝 II 中文摘要 III 英文摘要 V 目錄 VI 表目錄 VIII 圖目錄 IX 第一章 緒論 1 1-1 文獻回顧 1 1-2 研究動機及目的 6 1-3 論文架構 7 第二章 基本理論與模擬方法 8 2-1 聲子波茲曼傳輸方程式 8 2-2 材料色散關係 9 2-3 聲子散射機制 9 2-3-1 三聲子散射(Three-phonon scattering process) 10 2-3-2 雜質散射 11 2-3-3 邊界散射 12 第三章 蒙地卡羅法工具設計 13 3-1 全頻與灰介質假設 13 3-1-1 灰介質假設 13 3-1-2 聲子性質比較 15 3-1-3 熱傳導係數分析 19 3-2 全頻(非灰介質假設) 蒙地卡羅法 22 3-2-1 材料性質表之建立 23 3-2-2 挑選聲子權重 28 3-3 聲子飄移方法(Time marching) 32 3-3-1 固定時間法(Constant-Time Technique) 33 3-3-2 自我散射法-固定散射(Self ScatteringTechnique-Constant Gamma) 33 3-3-3 固定時間法與自我散射法比較 35 3-3-4 散射機制 35 3-4 其他模擬條件 37 3-4-1 初始化條件 37 3-4-2 邊界條件 38 3-4-3 能量守恆及網格溫度更新 39 3-5 模擬流程 40 第四章 程式驗證 43 4-1 平衡系統 43 4-1-1 週期性邊界系統Ⅰ 43 4-1-2 週期性邊界系統Ⅱ 50 4-1-3 絕熱邊界系統 54 4-2 非平衡系統 60 4-2-1 暫態熱擴散系統 60 4-3 熱流控制邊界系統 63 4-3-1 熱流控制邊界之驗證 63 4-3-2 塊材熱傳導係數模擬 65 第五章 結論與未來展望 67 5-1 結論 67 5-2 未來展望 69 參考文獻 70 | |
dc.language.iso | zh-TW | |
dc.title | 全頻蒙地卡羅材料熱傳模擬工具之研發 | zh_TW |
dc.title | Development of a full-spectrum Monte-Carlo simulation tool for phonon flow | en |
dc.type | Thesis | |
dc.date.schoolyear | 104-1 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 陳軍華(Chun-Hua Chen),張怡玲(I-Ling Chang),高國傑(Guo-Jie Jason Gao) | |
dc.subject.keyword | 全頻,頻率相依,蒙地卡羅法,權重頻率分布,熱傳導係數, | zh_TW |
dc.subject.keyword | Full-spectrum,Monte-Carlo simulation,phonon flow,thermal conductivity, | en |
dc.relation.page | 73 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2015-11-24 | |
dc.contributor.author-college | 工學院 | zh_TW |
dc.contributor.author-dept | 機械工程學研究所 | zh_TW |
顯示於系所單位: | 機械工程學系 |
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