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Chin-Kun Hu ( 胡進錕 ) Institute of Physics, Academia Sinica, Taipei 11529, Taiwan and CYCU

Renormalization Group and Monte Carlo Approach to Critical Phenomena: a talk in memory of Professors Shang-keng Ma ( 馬上庚 ) and Yu-Ming Shih ( 石育民 ). Chin-Kun Hu ( 胡進錕 ) Institute of Physics, Academia Sinica, Taipei 11529, Taiwan and CYCU E-mail: huck@phys.sinica.edu.tw

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Chin-Kun Hu ( 胡進錕 ) Institute of Physics, Academia Sinica, Taipei 11529, Taiwan and CYCU

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  1. Renormalization Group and Monte Carlo Approach to Critical Phenomena: a talk in memory of Professors Shang-keng Ma (馬上庚) and Yu-Ming Shih (石育民) • Chin-Kun Hu (胡進錕) Institute of Physics, Academia Sinica, Taipei 11529, Taiwan and CYCU • E-mail: huck@phys.sinica.edu.tw • http://proj1.sinica.edu.tw/~statphys/ At Dept. Phys., NTHU, Hsinchu, at 13:30 on 23 September 2009

  2. Chin-Kun Hu: Education • 1971.6.  BS, Department of Physics, National Tsing Hua University, Taiwan • 1973.6.  MS, Institute of Physics, National Tsing Hua University, Taiwan • 1976.6.  Ph.D., Institute of Physics, National Tsing Hua University, Taiwan

  3. Chin-Kun Hu: Position held • 1977.1.-1978.5.  Associate Professor, Chung Cheng Institute of Technology in Taiwan • 1978.6.-1978.10. Associate Research Fellow, Precision Instrument Development Center of National Science Council in Taiwan • 1978.11.-1979.7. Postgraduate Research Physicist,Inst. for Pure and Applied Physical Sciences, Univ. of California at San Diego, USA • 1979.7.-1981.8. Research Associate, Dept. of Physics and Astronomy, University of Maine, Orono, Maine, USA • 1981.9.-1983.8.  Research Associate, Dept. of Chemistry, University of Toronto, Toronto, Ontario, Canada • 1983.9.-1984.8.  Visiting Expert, Institute of Physics, Academia Sinica, Taipei, Taiwan • 1984.9.-Present: Research Fellow, Institute of Physics, Academia Sinica, Taipei, Taiwan • 1991.6.-1993.6. Visiting Scholar, Department of Physics, Harvard Univ., Cambridge, MA 02138, USA

  4. Publication List - Refereed Journal Papers • 1.Y.-Y. Lee, C.-K. Hu, and W.-D. Chen. Some considerations on divergences of Weinberg's lepton model. Chin. J. Phys. (Taipei) 12, 109-130 (1974). • 2.Y.-Y. Lee and C.-K. Hu. Gauge model of leptons involving gauge field of lepton numbers. Proceedings of the National Science Council, ROC, No.10, part 1, 101-116 (1977). • 3.Y.-Y. Lee and C.-K. Hu. Alternative heavy lepton model for -e events, Phys. Rev. D 17, 2261-2265 (1978). • 4.Y.-M. Shih, D.-C. Jou, C.-K. Pan, W.-S. Lee, W.-D. Chen, H.-M. Huang, C.-K. Hu, K.-G. Chen and H.-C. Tseng 1977. On the scaling factor in the renormalization group, Chinese Journal of Physics (Taipei) 15, 236-242 (1978). • 5.Y.-M. Shih, D.-C. Jou, C.-K. Pan, W.-S. Lee, W.-D. Chen, H.-M. Huang, C.-K. Hu, K.-G. Chen, and H.-C.Tseng . On the critical phenomena and renormalization group transformations, Chinese Journal of Physics (Taipei) 16, 181-187 (in Chinese) (1978).

  5. 6.S.-K. Ma, C. Dasgupta, and C.-K. Hu. Random antiferromagnetic Chain, Phys. Rev. Lett. 43, 1434-1437 (1979). • 7.Y.-M. Shih, D.-C. Jou, C.-K. Pan, W.-S. Lee, W.-D. Chen, H.-M. Huang, C.-K. Hu, K.-G. Chen, and H.-C. Tseng. Comment on "Variational approximation for renormalization group transformations", Phys. Rev. B 19, 529-532 (1979). • 8.C. Dasgupta, S.-K. Ma, and C.-K. Hu. Dynamic properties of a spin glass model at low temperatures, Phys. Rev. B 20, 3837-3849 (1979). • 9.Y.-M. Shih, D.-C. Jou, C.-K. Pan, W.-S. Lee, W.-D. Chen. H.-M. Huang, C.-K. Hu, K.-G. Chen, and H.-C. Tseng. Calculation of free energies for a three dimensional Ising Model by a modified Kadanoff's variational method, Phys. Rev. B 21, 299-303 (1980). • 10.C.-K. Hu et. al. Lower bound approximation to the free energies of an Ising model of ferrimagnetism on bcc lattice, Proceedings of the National Science Council, ROC 4, No. 4, 359-363 (1980).

  6. 11.C.-K. Hu and P. Kleban. Direct calculation of the derivatives of the free energy for Ising models by a modified Kadanoff variational method, J. Computational Phys. 43, 289-314 (1981). • 12.C.-K. Hu et. al. Lower bound approximation to the free energies of an Ising Model on simple cubic lattice, Canadian J. Phys. 59, 1291-1295 (1981). • 13.S. -P. Liu, D.-S. Wang, C.-K. Hu et. al. Application of modified Kadanoff's variational method to one dimensional Ising model, Proceeding of the National Science Council, ROC 5B, No. 2, 119-124 (1981). • 14.C.-K. Hu and P. Kleban 1982. Phase diagram of an Ising model with random sublatice vacancies, Phys. Rev. B 25, 6760-6764 (1982). • 15.C.-K. Hu and C. Y. Huang. Cooperative effects in Raman scattering, Optics Comm. 43, 395-400 (1982).

  7. 16.C.-K. Hu. Correlated percolation and a sublatice-dilute Potts model at T->0, Physica 116A, 265-271 (1982). • 17.C.-K. Hu. Bond-correlated percolation model and unusual behaviour of supercooled water, J. Phys. A: Math. Gen. 16, L321-326 (1983). • 18.C.-K. Hu. Exact results for a correlated percolation model, Physica 119A, 609-614 (1983). • 19.C.-K. Hu. An exact renormalization group transformation and properties of positive symmetric matrices, Chin. J. Phys. (Taipei) 21, Nos. 3 and 4, 24-30 (1983). • 20.C.-K. Hu. Percolation, clusters, and phase transitions in spin models, Phys. Rev. B 29, 5103-5108 (1984). • 21.C.-K. Hu. Site-bond-correlated percolation and a sublattice-dilute Potts model at finite temperatures, Phys. Rev. B 29, 5109-5116 (1984).

  8. Shang-keng Ma (馬上庚): 24 Sep. 1940-24 Nov. 1983 • Yu-Ming Shih (石育民): 1942-2005

  9. Memories of Shang-keng Maby Prof. F. Y. Wu on 15 Dec. 1983 • Shang-keng was born in 1940 in Chungking . • He obtained his B. S. degree at UC-Berkeley in 1962 with the honor of the "most promising senior," and continued on to earn a Ph.D. in 1966 at Berkeley under the direction of Professor Kenneth Watson. • He did his postdoctoral work with Professor Keith Brueckner at U. C. San Diego, where he eventually became a full professor in 1975.

  10. Sheng-Keng Ma: some papers during 1979-1984 • HUANG HM, MA SK, SHIH YM. THE ENTROPY OF ENTANGLED POLYMER,Solid State Commu. 51, 147 (1984). • MA S. CALCULATION OF ENTROPY FROM DATA OF MOTION, J. Stat. Phys. 26, 221 (1981). • MA SK, PAYNE M. ENTROPY OF A SPIN-GLASS MODEL WITH LONG-RANGE INTERACTION, Phys. Rev. B 24, 3984 (1981). • MA S. DYNAMICS OF A VECTOR SPIN-GLASS MODEL, Phys. Rev. B 22, 4484 (1980). • DASGUPTA C, MA S. LOW-TEMPERATURE PROPERTIES OF THE RANDOM HEISENBERG ANTI-FERROMAGNETIC CHAIN, Phys. Rev. B 22, 1305 (1980). • DASGUPTA C, MA SK, HU CK. DYNAMIC PROPERTIES OF A SPIN-GLASS MODEL AT LOW-TEMPERATURES, Phys. Rev. B 20, 3837 (1979). • MA SK, DASGUPTA C, HU CK. RANDOM ANTI-FERROMAGNETIC CHAIN, Phys. Rev. Lett. 43, 1434 (1979).

  11. Other publications • 統計力學 / 馬上庚著,臺北市 : 環華出版事業, 民71[1982] • Statistical mechanics / Shang-Keng Ma ; translated by M.K. Fung, Philadelphia : World Scientific, c1985 • Modern theory of critical phenomena / Shang-keng Ma, Reading, Mass. : W. A. Benjamin, Advanced Book Program, 1976

  12. 劉源俊: 物理教育從名詞談起 • 馬上庚主張「科學中文化」，他在《統計力學》（民71年）的序言中寫道：「我深信基礎科學，如不用本國文字，一定說不清。」他又說「英文名詞用法不合理之處甚多，習慣亦多有不合用於中文的」，於是將boson名為「合群粒子」，fermion名為「不合群粒子」；這應算是經典之作。

  13. Author=(ma sk or ma s)Timespan=1900-1984. Databases=SCI-EXPANDED, • Results found:71-12=59, Sum of the Times Cited:7,222, h-index:32-1=31 • 1. RANDOM-FIELD INSTABILITY OF ORDERED STATE OF CONTINUOUS SYMMETRY, IMRY Y, MA S, PRL 35, 1399 (1975) Times Cited: 1,571 • 13. RANDOM ANTI-FERROMAGNETIC CHAIN, MA SK, DASGUPTA C, HU CK, PRL 43, 1434(1979) Times Cited: 193 • 21. DYNAMIC PROPERTIES OF A SPIN-GLASS MODEL AT LOW-TEMPERATURES, DASGUPTA C, MA SK, HU CK, 20, 3837-3849(1979) Times Cited: 90.

  14. 石育民昨通過口試獲授理學博士學位,為我國第一位理學博士 （1971-02-02/聯合報/02版） • 本報訊 • 國立清華大學物理研究所博士班研究生石育民，昨（一）日通過教育部的博士學位口試，成為我國第一位理學博士石育民的博士論文為「左右型SU(3)⊕SU(3)對稱的非線性具像」，論文指導教授為李怡嚴。 • 石育民博士今年廿九歲，台灣省南投縣人，師範大學理化系畢業、清華大學物理研究所碩士班五十五年畢業。 • 昨日石育民博士學位評定考試，是由吳大猷擔任主席，考試委員有戴運軌、黃振麟、林其文、沈君山、蔣亨進、李怡嚴等六位教授，經全票通過授予理學博士

  15. 石育民畢業於台灣師範大學物理系，隨後進入清華大學物理研究所攻讀碩士及博士。其博士論文是「左右型SU(3)⊕SU(3)對稱的非線性具像」，指導教授為物理學家李怡巖。石育民畢業於台灣師範大學物理系，隨後進入清華大學物理研究所攻讀碩士及博士。其博士論文是「左右型SU(3)⊕SU(3)對稱的非線性具像」，指導教授為物理學家李怡巖。 In 1972, Dr. Shih visited Chia-Wei Woo (吳家瑋) and began to work on statistical physics. From 1973 to 1977, they published 11 joined papers. SHIH YM, WOO CW, SURFACE STATES OF HE-3 IN DILUTE HE3-HE4 SOLUTIONS, Phys. Rev. Lett. 30, 478 (1973) LEE FT, TAN HT, SHIH YM, WOO CW, PHASE-DIAGRAM FOR LIQUID-CRYSTALS, Phys. Rev. Lett. 31, 1117 (1973).

  16. 物理學系/系所簡介/歷來成員/歷任系主任 • 主管姓名任職起迄年月 • 蘇賢錫1963.06-1967.12 • 張建邦1967.12-1968.07 • 賴其鵬1968.08-1970.07 • 石育民1970.08-1971.07 • 陳惟堯1971.08-1973.07 • 芮涵芝1973.08-1978.07 • 石育民1978.08-1980.07 • 顏三和1980.08-1982.07 • 陳偉正1982.08-1988.07 • 錢凡之1988.08-1994.07 • 林震安1994.08-1998.07 • 彭維鋒1998.08-2002.07 • 張經霖2002.08-2006.07 • 曾文哲2006.08-迄今

  17. General historical introductionto critical phenomena and lattice models

  18. Guggenheim (1945) Exact solution of 2D Ising model Onsager(1944)

  19. Statistical physics approach to physical systems:e.g. Ising model for phase transitions Ferromagnet to paramagnet Binary alloy: CuZn Ising model: spin up, +1; spin down, -1

  20. Founders of Statistical Mechanics

  21. Crtitical exponents

  22. Percolation Models

  23. Percolation Model

  24. Books on Percolation • Deutscher, G.; Zallen, R.; and Adler, J. (Eds.). Percolation Structures and Processes. Bristol: Adam Hilger, 1983. • Grimmett, G. Percolation. New York: Springer-Verlag, 1989. • Kesten, H. Percolation Theory for Mathematicians. Boston, MA: Birkhäuser, 1982. • Stauffer, D. and Aharony, A. Introduction to Percolation Theory, 2nd ed. London: Taylor & Francis, 1992.

  25. Renormalization Group Theory:Historial Background

  26. =2

  27. L.P. Kandanoff’s theory of scaling, Physics 2, 263 (1966) M.E. Fisher, Rev. Mod. Phys (1998)

  28. K. G. Wilson’s RG theory, Phys. Rev. B. 4, 3174 and 3184 (1971) M. E. Fisher, Rev. Mod. Phys. 70, 653 (1998)

  29. From field theory and particle physics to statistical physics

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