Physics Subfields

Maximum-entropy methods have found application in almost every subfield of physics, and in many other areas of science. For example, the Colorado Alliance of Research Libraries (CARL) database UnCover scans some 17,000 journals, and since 1988 cites almost 500 articles applying maximum-entropy techniques in more than 100 different areas of research. While it is not possible to list all those articles here, the following references provide examples of the use of general information-theoretic ideas in various subfields of physics, as well as a few earlier works incorporating maximum entropy.

Acoustics:

63.``Structural Information Theory of Sound," T.W. Barrett, Acustica 36, 271-281 (1976). (A)

Atmospheric Physics:

64.``A Statistical Description of Coagulation," J.M. Rosen, J. Colloid Interface Sci. 99, 9-19 (1984). (A)

Chemistry and Chemical Physics:

65.``Studies in Chemical Dynamics: Information Theory and the Franck-Condon Model," C.L. Vila, Ph.D. thesis, Massachsetts Institute of Technology, 1978. (A)

66.``Application of InformationTheory in Chemical Physics," S.B. Sears, Ph.D. thesis, University of North Carolina, 1980. (A)

67.Information Theory in Analytical Chemistry, K. Echschlager (Wiley, New York, 1994.). (A)

68.``An Information-Theoretical Estimate of the Exchange Parameter in X Alpha Theory," K.B.K. Raju, P.S.V. Nair, and K.D. Sen, Chem. Phys. Lett. 170, 89-93, 1990. (A)

Condensed Matter:

69. ``Maximum Entropy in Condensed Matter Theory," D. Drabold and G. Jones, in Ref. 57, pp. 79-92. (A)

70.``Statistical Geometry. I. A Self-Consistent Approach to thje Crystallographic Inversion Problem," S.W. Wilkens, J.N. Varghese, and M.S. Lehmann, Acta Cryst. A39, 47-60 (1983). (A)

Geophysics:

71.``The Maximum Entropy Approach to Inverse Problems," E. Rietsch, J. Geophys. 42, 489-506 (1977). (A)

72.``Detection of the 11-Year Sunspot Cycle Signal in Earth Rotation," R.G. Currie, Geophys. J. Roy. Astron. Soc. 61, 131-140 (1980). (A)

Mathematical Physics:

73.``Maximum Entropy in the Problem of Moments," L.R. Mead and N. Papanicolaou, J. Math. Phys. 25, 2404-2417 (1984). (A)

Nonlinear Dynamics:

74.``A new metric invariant of transitive dynamical systems," A.N. Kolmogorov, Dokl. Akad. Nauk SSSR 119, 861-864 (1958). (A)

75.``On the concept of entropy for a dynamic system," Ya.G. Sinai, Dokl. Akad. Nauk SSSR 124, 768-771 (1959). (A)

76.``Kolmogorov entropy and numerical experiments," G. Benettin, L. Galgani, and J.-M. Strelcyn, Phys. Rev. A 14, 2338-2345 (1976). An application to the Hénon-Heiles model that explicates its properties based on numerical studies. (A)

77.``Short Paths and Information Theory in Quantum Chaotic Scattering: Transport Through Quantum Dots," H.U. Baranger and P.A. Mello, Europhys. Lett. 33, 465-470 (1996). (A)

78. Chaos in Dynamical Systems, E. Ott (Cambridge University Press, Cambridge, 1993). (A)

79.Thermodynamics of Chaotic Systems, C. Beck and F. Schlögl (Cambridge University Press, Cambridge, 1993). (A)

Nuclear Physics:

80.``Information and estimation in nuclear measurements," J.K. Vaurio, Nucl. Insts. Methods 99, 373-378 (1972). (A)

81.``Information Theory and Statistical Nuclear Reactions, I. General Theory and Applications to Few-Channel Problems," P.A. Mello, P. Bereyra, and T.H. Seligman, Ann. Phys. (N.Y.) 161, 254- 275 (1985). (A)

82.``Information Theory and Statistical Nuclear Reactions, II. Many-Channel Case and Hauser-Feshbach Formula" W.A. Friedman and P.A. Mello, Ann. Phys. (N.Y.) 161, 276-302 (1985). (A)

Optics:

83.``Information Theory in Holography," D. Gabor, in Optical and Acoustical Holography, edited by E. Camatini, Plenum Press, New York, 1972, pp.23-40. (I)

84.Optics and Information Theory, F.T.S. Yu (Wiley, London, 1976). (A)

85.Information Theory Applied to Solar Radiation Concentrators, R.P. Patera, Ph.D. thesis, University of Miami, 1979. (A)

Quantum Mechanics:

86.``The Information Gain by Localizing a Particle," V. Majernik, Acta Phys. Acad. Sci. Hung. 25, 331-340 (1983). (A)

87.``Uncertainty in Quantum Measurements," D. Deutsch, Phys. Rev. Lett. 50, 631-633 (1983). (A)

88.``Entropic Formulation of Uncertainty for Quantum Measurements," M.H. Partovi, Phys. Rev. Lett. 50, 1883-1885 (1983). (A)

89.``Information and quantum nonseparability," B.W. Schumacher, Phys. Rev. A. 44, 7047-7052 (1991). (A)

90.``Quantum Measurements and Information Theory," K.E. Hellwig, Int. J. Theor. Phys. 32, 2401-2412 (1993). (A)

Spacetime Physics:

91.Information Theory Applied to Space-Time Physics, H.F. Harmuth (World Scientific, Singapore, 1992). (I)