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Book Review

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Book Information

Author(s): C. M. Newman
Title: Topics in disordered systems
Additional book information: Birkhäuser-Verlag, Basel, 1997, vii + 88, $22.50, 3-7643-5777-0

References:

[BP]
A. Bovier and P. Picco, eds., Mathematical Aspects of Spin Glasses and Neural Networks, Progress in Probability Volume 41, Birkhäuser, Boston, 1998. MR 98i:82002

[EA]
S.F. Edwards and P.W. Anderson, Theory of spin glasses, J. Phys. F 5 (1975) 965-974.

[FHbk]
K.H. Fisher and J.A. Hertz, Spin Glasses, Cambridge University Press, Cambridge, 1991.

[FH]
D.S. Fisher and D.A. Huse, Ordered phase of short-range Ising spin glasses, Phys. Rev. Lett. 56 (1986) 1601-1604.

[FK]
C.M. Fortuin and P.W. Kasteleyn, On the random-cluster model. I. Introduction and relation to other models, Phys. 57 (1972) 536-564. MR 50:12107

[Fr]
J. Fröhlich, Mathematical aspects of the theory of disordered systems, in Critical Phenomena, Random Systems and Gauge Theories, Les Houches Session XLIII 1984 (K. Osterwalder and R. Stora, eds.) 725-893, North-Holland, Amsterdam, 1986. MR 88h:82057

[Ge]
H.-O. Georgii, Gibbs Measures and Phase Transitions, de Gruyter, Berlin, 1988. MR 89k:82010

[Ka]
T. Kasuya, A theory of metallic ferro- and antiferromagnetism in Zener's model, Progr. Theoret. Phys. 16 (1956) 45-57.

[KS]
J. Krug and H. Spohn, Kinetic roughening of growing surfaces, in Solids Far from Equilibrium: Growth, Morphology and Defects (C. Godrèche, ed.) 479-582, Cambridge University Press, Cambridge, 1991.

[LN]
C. Licea and C.M. Newman, Geodesics in two-dimensional first-passage percolation, Ann. Probab. 24 (1996) 399-410. MR 97c:60238

[LNP]
C. Licea, C.M. Newman and M.S.T. Piza, Superdiffusivity in first-passage percolation, Prob. Theory Related Fields 106 (1996) 559-591. MR 98a:60151

[Mc]
W.L. McMillan, Scaling theory of Ising spin glasses, J. Phys. C 17 (1984) 3179-3187.

[MPV]
M. Mézard, G. Parisi and M.A. Virasoro, Spin Glass Theory and Beyond, World Scientific, Singapore, 1987. MR 91k:82066

[My]
J.A. Mydosh, Spin Glasses: An Experimental Introduction, Taylor and Francis, London, 1993.

[Ne]
C.M. Newman, Disordered Ising systems and random cluster representation, in Probability and Phase Transition (G. Grimmett, ed.), 247-260, Kluwer, Dordrecht, 1994. MR 95h:82016

[NS92]
C.M. Newman and D.L. Stein, Multiple states and thermodynamic limits in short ranged spin glass models, Phys. Rev. B 46 (1992) 973-982.

[NS96a]
C.M. Newman and D.L. Stein, Ground state structure in a highly disordered spin-glass model, J. Statist. Phys. 82 (1996) 1113-1132. MR 97a:82054

[NS96b]
C.M. Newman and D.L. Stein, Non-mean-field behavior of realistic spin glass, Phys. Rev. Lett. 76 (1996) 515-518.

[NS96c]
C.M. Newman and D.L. Stein, Spatial inhomogeneity and thermodynamic chaos, Phys. Rev. Lett. 76 (1996) 4821-4824.

[Pa]
G. Parisi, Infinite number of order parameters for spin-glasses, Phys. Rev. Lett. 43 (1979) 1754-1756.

[RK]
M.A. Ruderman and C. Kittel, Indirect exchange coupling of nuclear magnetic moments by conduction electrons, Phys. Rev. 96 (1954) 99-102.

[SK]
D. Sherrington and S. Kirkpatrick, Solvable model of a spin glass, Phys. Rev. Lett. 35 (1975) 1792-1796.

[Si]
B. Simon, The Statistical Mechanics of Lattice Gases, Vol. 1, Princeton University Press, Princeton, 1993. MR 95a:82001

[We]
J. Wehr, On the number of infinite geodesics and ground states in disordered systems, J. Statist. Phys. 87 (1997) 439-447. MR 98k:82087

[Yo]
K. Yosida, Magnetic properties of Cu-Mn alloys, Phys. Rev. 106 (1957) 893-898.

Additional Information:

Reviewer(s):
Kenneth S. Alexander
Affiliation: University of Southern California, Los Angeles
Email: alexandr@math.usc.edu

Review Information:
Journal: Bull. Amer. Math. Soc. 36 (1999), 267-270.

MSC (1991): Primary 82B44, 82D30
DOI: 10.1090/S0273-0979-99-00779-X
PII: S 0273-0979(99)00779-X
Keywords: Disordered system, spin glass, Ising model, random cluster model
Posted: February 22, 1999
Additional notes: Research supported by NSF grant DMS-9802368.
Copyright of article: Copyright 1999, American Mathematical Society

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