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In 1981, Ma formulated the "coincidence counting" method for the calculation of entropy from the phase space trajectory. He felt strongly that such a dynamical formulation of entropy was crucial for understanding random and other systems exhibiting
240:
He visited
Cornell University in 1972 where he became involved in development of the renormalization theory of critical phenomena. Gradually, his interest shifted to statistical physics.
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Halperin, B. I.; Hohenberg, P. C.; Ma, Shang-Keng (1974). "Renormalization-group methods for critical dynamics: I. Recursion relations and effects of energy conservation".
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278:, where he wrote in Chinese an advanced text on statistical mechanics β the book, published in 1983, "eschews the traditional approach built on the Gibbs ensemble."
551:
Dashen, Roger; Ma, Shang-Keng (1971). "Singularities in
Forward Multiparticle Scattering Amplitudes and the S-Matrix Interpretation of Higher Virial Coefficients".
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Dashen, Roger F.; Ma, Shang-Keng; Rajaraman, R. (1975). "Finite-temperature behavior of a relativistic field theory with dynamical symmetry breaking".
265:, which introduced a technique which "has evolved into a powerful technology that is widely used today for the numerical study of critical phenomena."
376:
BΓ©al-Monod, M. T.; Ma, Shang-Keng; Fredkin, D. R. (1968). "Temperature
Dependence of the Spin Susceptibility of a Nearly Ferromagnetic Fermi Liquid".
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of a 1972 paper that "generalized the renormalization group theory to dynamical critical phenomena." Ma is also known as the co-author with
853:
Ma, Shang-Keng; Mazenko, Gene F. (1975). "Critical dynamics of ferromagnets in6βΞ΅dimensions: General discussion and detailed calculation".
734:
Halperin, B. I.; Lubensky, T. C.; Ma, Shang-Keng (1974). "First-Order Phase
Transitions in Superconductors and Smectic-ALiquid Crystals".
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216:(IAS) from September 1968 to June 1969 and in the autumn of 1970. There he worked with Shau-Jin Chang on the infinite-energy limit of
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Halperin, B. I.; Hohenberg, P. C.; Ma, S. K. (1972). "Calculation of dynamic critical properties using Wilson's expansion methods".
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Fytas, N.G.; MartΓn-Mayor, V.; Picco, M.; Sourlas, N. (2018). "Review of recent developments in the random-field Ising model".
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Aharony, Amnon; Imry, Yoseph; Ma, Shang-Keng (1976). "Lowering of
Dimensionality in Phase Transitions with Random Fields".
117:
213:
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Dashen, Roger; Ma, Shang-Keng (1970). "Singular Three-Body
Amplitudes in the Theory of the Third Virial Coefficient".
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Ma, Shang-Keng; Rajaraman, R. (1975). "Comments on the absence of spontaneous symmetry breaking in low dimensions".
282:
published an
English translation in 1985. In 1986 World Scientific also published a memorial volume in honor of Ma.
189:
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149:(September 24, 1940 β November 24, 1983) was a Chinese theoretical physicist, known for his work on the theory of
1382:
Exactly Solved Models: A Journey in
Statistical Mechanics : Selected Papers with Commentaries (1963-2008)
434:
Dashen, Roger; Ma, Shang-Keng; Bernstein, Herbert J. (1969). "S-Matrix
Formulation of Statistical Mechanics".
794:
Imry, Yoseph; Ma, Shang-Keng (1975). "Random-Field
Instability of the Ordered State of Continuous Symmetry".
911:
Aharony, Amnon; Imry, Yoseph; Ma, Shang-Keng (1976). "Comments on the critical behavior of random systems".
667:
Fisher, Michael E.; Ma, Shang-Keng; Nickel, B. G. (1972). "Critical Exponents for Long-Range Interactions".
258:
196:. There he graduated in 1962 with a bachelor's degree in science and in 1966 with a Ph.D. His Ph.D. thesis
405:
Chang, Shau-Jin; Ma, Shang-Keng (1969). "Feynman Rules and Quantum Electrodynamics at Infinite Momentum".
233:
229:
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Dashen, Roger; Ma, Shang-Keng (1971). "Scattering Theory and Current Correlations in Classical Gases".
212:. Ma's outstanding ability earned him a faculty appointment at UCSD in less than a year. He was at the
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Gould, Harvey; Ma, Shang-Keng (1969). "Low-Temperature Ion Mobility in Interacting Fermi Liquids".
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Ma, Shang-Keng (1972). "Critical Exponents for Charged and Neutral Bose Gases above Ξ» Points".
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Chang, Shau-Jin; Ma, Shang-Keng (1969). "Multiphoton Exchange Amplitudes at Infinite Energy".
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Chinese-American physicist known for his lucid review articles of renormalization group theory
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Directions in Condensed Matter Physics: Memorial Volume in Honor of Shang-keng Ma
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Chen, Joseph C. Y.; Prentis, Jeffrey; Schultz, Sheldon (1984). "Shang-keng Ma".
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Ma, Shang-Keng (1978). "Effect of Random Impurities on Long Range Order".
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Ma, Shang-Keng; Woo, Chia-Wei (1967). "Theory of a Charged Bose Gas. I".
274:
In the two academic years 1977β1978 and 1981β1982 he taught in Taiwan at
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72:
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Ma, Shang-keng (1976). "Renormalization group by Monte Carlo methods".
104:
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Ma, Shang-keng (1981). "Calculation of entropy from data of motion".
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Ma, Shang-Keng (1973). "Introduction to the Renormalization Group".
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253:. Their model has come to be known as the random field Ising model.
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and Imry of a 1976 paper that established the foundation of the
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Upon his death he was survived by his widow and two children.
1405:
Grinstein, Geoffrey; Mazenko, Gene F., eds. (August 1986).
1067:. Frontiers in Physics. Vol. 46. Addison-Wesley. 1976.
1341:"Shang-Keng Ma, Physics: San Diego, 1940β1983, Professor"
321:
1359:"Sloan Research Fellows in Physics or Chemistry, 1971"
1339:
Chen, Joseph C. Y.; Schultz, Sheldon; Sham, Lu Jeu.
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198:Correlations of Photons from a Thermal Source
118:Correlations of Photons from a Thermal Source
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263:Renormalization group by Monte Carlo methods
1476:University of California, San Diego faculty
18:
1471:University of California, Berkeley alumni
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324:by adding descriptive text and removing
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257:In 1976 Ma was a visiting scientist at
204:. As a postdoc in 1966, Ma went to the
1363:Alfred P. Sloan Foundation (sloan.org)
1323:Institute for Advanced Study (ias.edu)
1305:Institute for Advanced Study (ias.edu)
1287:Institute for Advanced Study (ias.edu)
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1384:. World Scientific. pp. 68β69.
157:. He is known as the co-author with
1095:Modern Theory of Critical Phenomena
1074:Modern theory of critical phenomena
1065:Modern Theory of Critical Phenomena
206:University of California, San Diego
194:University of California, Berkeley
88:University of California, Berkeley
14:
297:
188:He transferred in 1959 from the
1461:20th-century Chinese physicists
1423:Publications of Shang-Keng Ma:
1161:Online Archive California (OAC)
553:Journal of Mathematical Physics
524:Journal of Mathematical Physics
1228:Journal of Statistical Physics
1022:Journal of Statistical Physics
1:
1345:Online Archive of California
214:Institute for Advanced Study
962:10.1103/PhysRevLett.37.1364
816:10.1103/PhysRevLett.35.1399
660:10.1103/PhysRevLett.29.1311
631:10.1103/PhysRevLett.29.1548
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1127:. World Scientific. 1985.
1077:. Sarat Book House. 1982.
1001:Chinese Journal of Physics
992:10.1103/PhysRevLett.37.461
756:10.1103/PhysRevLett.32.292
689:10.1103/PhysRevLett.29.917
398:10.1103/PhysRevLett.20.929
190:National Taiwan University
1378:"Eulogy on Shang-Keng Ma"
1258:10.1007/s10955-018-1955-7
727:10.1103/RevModPhys.45.589
707:Reviews of Modern Physics
169:of a 1975 paper and with
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93:
28:
904:10.1103/PhysRevD.11.1499
875:10.1103/PhysRevB.11.4077
846:10.1103/PhysRevD.11.1701
515:10.1103/PhysRev.188.2385
427:10.1103/PhysRev.180.1506
261:and published his paper
29:
1093:Ma, Shang-Keng (2018).
972:Physical Review Letters
942:Physical Review Letters
933:10.1103/PhysRevB.13.466
796:Physical Review Letters
786:10.1103/PhysRevB.10.139
736:Physical Review Letters
669:Physical Review Letters
640:Physical Review Letters
611:Physical Review Letters
486:10.1103/PhysRev.183.338
456:10.1103/PhysRev.187.345
378:Physical Review Letters
369:10.1103/PhysRev.159.165
326:less pertinent examples
259:Paris-Saclay University
1466:Sloan Research Fellows
1157:"Shang-keng Ma Papers"
602:10.1103/PhysRevA.4.700
272:
255:
242:
1124:Statistical Mechanics
1103:10.4324/9780429498886
820:(over 3100 citations)
760:(over 1000 citations)
701:(over 1100 citations)
234:Sloan Research Fellow
230:statistical mechanics
208:(UCSD) to study with
1411:. World Scientific.
1376:Wu, Fa Yueh (2009).
966:(over 450 citations)
790:(over 600 citations)
460:(over 600 citations)
251:ferro-magnetic order
1250:2018JSP...172..665F
1205:1984PhT....37d.102C
1034:1981JSP....26..221M
1013:1978ChJPh..16..146M
984:1976PhRvL..37..461M
954:1976PhRvL..37.1364A
925:1976PhRvB..13..466A
896:1975PhRvD..11.1499D
867:1975PhRvB..11.4077M
838:1975PhRvD..11.1701M
808:1975PhRvL..35.1399I
778:1974PhRvB..10..139H
748:1974PhRvL..32..292H
719:1973RvMP...45..589M
681:1972PhRvL..29..917F
652:1972PhRvL..29.1311M
623:1972PhRvL..29.1548H
594:1971PhRvA...4..700D
565:1971JMP....12..689D
536:1970JMP....11.1136D
507:1969PhRv..188.2385C
478:1969PhRv..183..338G
448:1969PhRv..187..345D
419:1969PhRv..180.1506C
390:1968PhRvL..20..929B
361:1967PhRv..159..165M
322:improve the article
276:Tsinghua University
1325:. 9 December 2019.
1307:. 9 December 2019.
1289:. 9 December 2019.
1042:10.1007/BF01013169
200:was supervised by
151:critical phenomena
46:September 24, 1940
1213:10.1063/1.2916178
948:(20): 1364β1367.
913:Physical Review B
884:Physical Review D
861:(11): 4077β4100.
855:Physical Review B
826:Physical Review D
802:(21): 1399β1401.
766:Physical Review B
646:(19): 1311β1314.
617:(23): 1548β1551.
582:Physical Review A
573:10.1063/1.1665636
544:10.1063/1.1665239
343:
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202:Kenneth M. Watson
159:Bertrand Halperin
144:
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135:Kenneth M. Watson
95:Scientific career
65:November 24, 1983
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218:Feynman diagrams
163:Pierre Hohenberg
130:Doctoral advisor
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308:may contain
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222:Roger Dashen
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175:random field
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67:(1983-11-24)
1456:1983 deaths
1451:1940 births
247:Yoseph Imry
178:Ising model
167:Yoseph Imry
1445:Categories
1241:1711.09597
1144:References
1007:(2): 146.
314:irrelevant
77:California
42:1940-09-24
1266:115133326
1050:119795687
334:July 2023
310:excessive
220:and with
184:Biography
50:Chongqing
697:67782027
316:examples
289:Articles
226:S-matrix
73:La Jolla
1246:Bibcode
1201:Bibcode
1030:Bibcode
1009:Bibcode
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950:Bibcode
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