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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 陳義裕(Yih-Yuh Chen) | |
| dc.contributor.author | Li-Jen Chu | en |
| dc.contributor.author | 朱立人 | zh_TW |
| dc.date.accessioned | 2021-06-15T06:43:19Z | - |
| dc.date.available | 2011-07-25 | |
| dc.date.copyright | 2011-07-25 | |
| dc.date.issued | 2011 | |
| dc.date.submitted | 2011-07-05 | |
| dc.identifier.citation | [1] J. J. Thomson. On the structure of the atom.. Philos. Mag., 7(39):237–265, 1904.
[2] H. Totsuji. Numerical experiment on two-dimensional electron liquids. thermodynamic properties and onset of short-range order. Phys. Rev. A, 17:399, 1978. [3] E. Wigner. Effects of the electron interaction on the energy levels of electrons in metals. Trans. Faraday. Soc., 34:678, 1938. [4] V. Demmel H. Thomas, G. E. Morfill. Plasma crystal: Coulomb crystallization in a dusty plasma. Phys. Rev. Lett., 73(5):652, 1994. [5] P. Debye and E. Huckel. The theory of electrolytes. i. lowering of freezing point and related phenomena. Physikalische Zeitschrift, 24:185–206, 1923. [6] R. V. Langmuir R. F.Wuerker, H. Shelton. Electrodynamic containment of charged particles. J. Appl. Phys., 30:342, 1959. [7] P. E. Toschek. -. Phys. Blatt, 45:465, 1989. [8] J. M. Chen F. Diedrich, E. Peik, W . Quint, and H. Walther. Observation of a phase transition of stored laser-cooled ions. Phys. Rev. Lett., 59:2931, 1987. [9] W. M. Itano J. Wineland, J. C. Bergquist, J. J. Bollinger, and C. H. Manney. -. Phys. Rev. Lett., 59:2953, 1987. [10] J. J. Bollinger S. L. Gilbert and D. J. Winelan. Shell-structure phase of magnetically confined strongly coupled plasmas. Phys. Rev. Lett., 60:2022, 1988. [11] H. Totsuji and J. L. Barrat. Structure of a nonneutral classical plasma in a magnetic field. Phys. Rev. Lett., 60:2484, 1988. [12] D. H. E. Dubin and T. M. O’Neil. Computer simulation of ion clouds in a penning trap. Phys. Rev. Lett., 60:511, 1988. [13] Yu. E. Lozovik and V. A. Mandelstam. Coulomb clusters in a trap. Phys. Lett. A, 145:269, 1990. [14] R. W. Hasse. Excess energy of cylindrical coulomb crystals. Phys. Rev. Lett., 67:600, 1991. [15] A. Rahman and J. P. Schiffer. Structure of a one-component plasma in an external field: A molecular-dynamics study of particle arrangement in a heavy-ion storage ring. Phys. Rev. Lett., 57:1133, 1986. [16] R. W. Hasse and J. P. Schiffer. The structure of the cylindrically confined Coulomb lattice. Ann. Phys., 203:419, 1990. [17] Osvaldo Goscinski Dudley R. Herschbach, John Avery. Dimensional Scaling in Chemical Physics. Kluwer Academic Publishers, 1993. [18] Osvaldo Goscinski Dudley R. Herschbach, John Avery. Dimensional Scaling in Chemical Physics, page 93. Kluwer Academic Publishers, 1993. [19] V. A. Yudin. The minimum of potential energy of a system of point charges. Discrete Math. Appl., 3(1):75–81, 1993. [20] Richard Evan Schwartz. The 5-electron case of thomson’s problem. arXiv, 2010. [21] G. M. Hockney T. Erber. Comment on “method of constrained global optimization”. Phys. Rev. Lett., 74:1482–1482, 1995. [22] Y. Levin J. De Luca, S. B. Rodrigues. Electromagnetic instability of the thomson problem. Europhys. Lett., 71(1):84–90, 2005. [23] Lynn Bonsall. Some static and dynamical properties of a two-dimensional wigner crystal. Phys. Rev. B, 15(4):1959, 1994. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/47944 | - |
| dc.description.abstract | 我們研究一個古典三維的單種類庫侖氣體模型之結構，其中電子受到一外加位能 U(r) = 1/2r^2 – Z/r 之限制。我們利用分子動力(MD)電腦程式模擬研究殼層及殼層內結構的形成，提出理論分析該結構形成之條件並與實驗結果比對。 | zh_TW |
| dc.description.abstract | We study a spherical one-component plasma (SOCP) of electrons in a dimensionless confining potential U(r)=1/2r^2-Z/r in the zero-temperature limit. We explore the formation of shell structures and spherical lattices using molecular-dynamics simulations. A theoretical analysis of the mechanism of shell formation and lattice structures is also presented. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-15T06:43:19Z (GMT). No. of bitstreams: 1 ntu-100-R97222076-1.pdf: 558744 bytes, checksum: e8179145a8f216996d5ea3da849fc9c1 (MD5) Previous issue date: 2011 | en |
| dc.description.tableofcontents | List of figures iii
List of tables iv 1 Introduction 1 1.1 Introduction 1 2 Review of Dimensional Scaling and Its Relevance to the Thomson problem 3 2.1 The method of dimensional Scaling 3 2.2 Relation with the Thomson problem 8 3 Numerical simulation of the simplified model 13 3.1 Method 13 3.2 Results 14 4 Theoretical analysis of shell structures 18 4.1 Formation of shells 18 4.2 Subshell structure 23 5 Conclusion and future work 29 Bibliography 31 | |
| dc.language.iso | en | |
| dc.subject | 圖案形成 | zh_TW |
| dc.subject | 庫侖氣體 | zh_TW |
| dc.subject | 殼層 | zh_TW |
| dc.subject | 原子模型 | zh_TW |
| dc.subject | Coulomb gas | en |
| dc.subject | pattern formation | en |
| dc.subject | atomic model | en |
| dc.subject | shell structure | en |
| dc.title | 平方反比離心位能中古典庫侖氣體之殼層結構 | zh_TW |
| dc.title | Shell structure of classical Coulomb gas in an inverse-square centrifugal potential | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 99-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 李精益,魏金明 | |
| dc.subject.keyword | 庫侖氣體,殼層,原子模型,圖案形成, | zh_TW |
| dc.subject.keyword | Coulomb gas,shell structure,atomic model,pattern formation, | en |
| dc.relation.page | 33 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2011-07-06 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 物理研究所 | zh_TW |
| 顯示於系所單位： | 物理學系 | |
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