| 姓名 |
王政皓(Jheng-Hao Wang)
查詢紙本館藏 |
畢業系所 |
物理學系 |
| 論文名稱 |
(Transformation of work into heat?A simulation study)
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| 相關論文 | |
| 檔案 |
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[Bibtex 格式]
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| 摘要(中) |
分子在空氣中自由的移動，而他們隨機的行徑速度與空氣的溫度有關，即使他們被施加了一個外力，迫使他們有秩序地朝著相同的方向前進，隨著時間的過去，他們會漸漸回到原本隨機移動的運動模式，那這些粒子從有序運動模式到隨機運動模式的過程，究竟是如何進行的?我們將粒子放在一個固定的箱子裡面來觀察這個轉化的過程。我們可以很快地想到，粒子與粒子間的碰撞幫助了這些粒子趨向成隨機地運動模式，那麼，當我們將粒子間相互的作用力拿掉，並使粒子能夠穿越對方，只朝著自己的運動方向前進時，這個從有秩序的運動模式到隨機的運動模式又會是怎麼轉換的呢?在這篇論文裡面，我們透過角動量的變化，來探討這個隨機化的過程是如何執行的。 |
| 摘要(英) |
Molecules move randomly in space and their randomized velocities are related to the temperature. Ever if they are initially applied by an external force and move ordered in some direction, they will be back to the random motion gradually as long as the time is long enough. However, what happened in the process from the ordered motion to the random motion? We make particles move in some specific directions in the box and observe this process. The particles can collide with each other and the box. We can easily get the idea that the collisions help the particles towards the randomized motion. Then, we take the collisions between the particles away. Each of the particles moves on its own way and they can penetrate each other when they meet. The process from the ordered motion towards the random motion can also be observed when the particle number is large enough through the dynamics of collective observables. In this work we examine the extent of randomization through the study of average angular momentum. |
| 關鍵字(中) |
★ 功能轉換 |
關鍵字(英) |
★ Transformation |
| 論文目次 |
1 Introduction................................................................. 1
2 Model........................................................................... 4
2.1 Unit............................................................................ 4
2.2 Initialsetupofparticles................................................ 5
2.3 Boundaryconditions.................................................. 6
2.4 Pairwiseinteraction.................................................... 6
2.5 Simulationprocess...................................................... 7
3 Results..........................................................................9
3.1 Particlesproperties.................................................... 10
3.1.1 Angularmomentumdistribution............................. 12
3.1.2 Speeddistribution................................................... 13
3.1.3 Collisionsbetweentheparticlesandtheboxboundary:casewithout pairwise interaction....................................................................... 15
3.1.4 Autocorrelationfunctionofangularmomentum....... 18
3.1.5 Fouriertransformofautocorrelationfunction........... 19
3.2 Oneparticlesystem.................................................... 22
3.3 Effectsofboxsizesandparticlenumber........................ 28
3.3.1 Boxsize.................................................................. 28
3.3.2 Particlenumber........................................................30
4 Conclusion...................................................................32
Bibliography...................................................................33 |
| 參考文獻 |
[1] J Young. Heat, work and subtle fluids: a commentary on Joule (1850) ‘On the mechanical equivalent of heat’ .(2015) [2] University of Virginia, MSE 4270/6270: Introduction to Atomistic Simulatioin, Leonid Zhigilei [3] LAMMPS Users Manual, copyright(2003) Sandia Corpooration [4] David Michael Heyes, Hisashi Okumura. Some Physical Properties of the Weeks- Chandler-Andersen Fluid. Molecular Simulation, Taylor Francis, 2006, 32 (01), pp.45-49. <10.1080/08927020500529442>. |
| 指導教授 |
李紀倫(Chi-Lun Lee)
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審核日期 |
2018-6-19 |
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