Shang-keng Ma (September 24, 1940 – November 24, 1983) was a Chinese theoretical physicist, known for his work on the theory of critical phenomena and random systems.[2] He is known as the co-author with Bertrand Halperin and Pierre Hohenberg of a 1972 paper that "generalized the renormalization group theory to dynamical critical phenomena."[2] Ma is also known as the co-author with Yoseph Imry of a 1975 paper[2] and with Amnon Aharony and Imry of a 1976 paper that established the foundation of the random fieldIsing model (RFIM)[3]
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.[9]
In 1975, with Yoseph Imry, he published the seminal paper on the effect of a random magnetic field on ferro-magnetic order. Their model has come to be known as the random field Ising model.[2]
In 1976 Ma was a visiting scientist at Paris-Saclay University and published his paper Renormalization group by Monte Carlo methods, which introduced a technique which "has evolved into a powerful technology that is widely used today for the numerical study of critical phenomena."[2]
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 metastability.[2]
In the two academic years 1977–1978 and 1981–1982 he taught in Taiwan at Tsinghua University, where he wrote in Chinese an advanced text on statistical mechanics — the book, published in 1983, "eschews the traditional approach built on the Gibbs ensemble." World Scientific published an English translation in 1985. In 1986 World Scientific also published a memorial volume in honor of Ma.[10]
Upon his death he was survived by his widow and two children.[7]
Béal-Monod, M. T.; Ma, Shang-Keng; Fredkin, D. R. (1968). "Temperature Dependence of the Spin Susceptibility of a Nearly Ferromagnetic Fermi Liquid". Physical Review Letters. 20 (17): 929–932. Bibcode:1968PhRvL..20..929B. doi:10.1103/PhysRevLett.20.929.
Dashen, Roger; Ma, Shang-Keng (1970). "Singular Three-Body Amplitudes in the Theory of the Third Virial Coefficient". Journal of Mathematical Physics. 11 (4): 1136–1143. Bibcode:1970JMP....11.1136D. doi:10.1063/1.1665239.
Dashen, Roger; Ma, Shang-Keng (1971). "Singularities in Forward Multiparticle Scattering Amplitudes and the S-Matrix Interpretation of Higher Virial Coefficients". Journal of Mathematical Physics. 12 (4): 689–715. Bibcode:1971JMP....12..689D. doi:10.1063/1.1665636.
Halperin, B. I.; Hohenberg, P. C.; Ma, S. K. (1972). "Calculation of dynamic critical properties using Wilson's expansion methods". Physical Review Letters. 29 (23): 1548–1551. Bibcode:1972PhRvL..29.1548H. doi:10.1103/PhysRevLett.29.1548.
Halperin, B. I.; Lubensky, T. C.; Ma, Shang-Keng (1974). "First-Order Phase Transitions in Superconductors and Smectic-ALiquid Crystals". Physical Review Letters. 32 (6): 292–295. Bibcode:1974PhRvL..32..292H. doi:10.1103/PhysRevLett.32.292. (over 1000 citations)
Halperin, B. I.; Hohenberg, P. C.; Ma, Shang-Keng (1974). "Renormalization-group methods for critical dynamics: I. Recursion relations and effects of energy conservation". Physical Review B. 10 (1): 139–153. Bibcode:1974PhRvB..10..139H. doi:10.1103/PhysRevB.10.139. (over 600 citations)
Imry, Yoseph; Ma, Shang-Keng (1975). "Random-Field Instability of the Ordered State of Continuous Symmetry". Physical Review Letters. 35 (21): 1399–1401. Bibcode:1975PhRvL..35.1399I. doi:10.1103/PhysRevLett.35.1399. (over 3100 citations)
Ma, Shang-Keng; Rajaraman, R. (1975). "Comments on the absence of spontaneous symmetry breaking in low dimensions". Physical Review D. 11 (6): 1701–1704. Bibcode:1975PhRvD..11.1701M. doi:10.1103/PhysRevD.11.1701.
Ma, Shang-Keng; Mazenko, Gene F. (1975). "Critical dynamics of ferromagnets in6−εdimensions: General discussion and detailed calculation". Physical Review B. 11 (11): 4077–4100. Bibcode:1975PhRvB..11.4077M. doi:10.1103/PhysRevB.11.4077.
Dashen, Roger F.; Ma, Shang-Keng; Rajaraman, R. (1975). "Finite-temperature behavior of a relativistic field theory with dynamical symmetry breaking". Physical Review D. 11 (6): 1499–1508. Bibcode:1975PhRvD..11.1499D. doi:10.1103/PhysRevD.11.1499.
^Wu, Fa Yueh (2009). "Eulogy on Shang-Keng Ma". Exactly Solved Models: A Journey in Statistical Mechanics : Selected Papers with Commentaries (1963-2008). World Scientific. pp. 68–69. ISBN9789812813886.