By K. K. Kaski R. A. Barrio

ISBN-10: 1860945503

ISBN-13: 9781860945502

This critical booklet is a compilation of invited talks added on the symposium, “Current issues in Physics” held in Mexico urban in June 2003, to have fun the seventy fifth birthday of Professor Sir Roger Elliott. The contributions were ready via study affiliates, former scholars, post-doctoral fellows and co-workers of Professor Elliott, lots of them prime scientists — as Sir Roger himself — in vital examine institutes all over the world. The ebook offers a truly well timed and complete evaluate of assorted key components of recent condensed subject and statistical physics. 19 unique contributions are incorporated, grouped in 3 major parts: affliction and dynamical structures, buildings and glasses, electric and magnetic houses.

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**Sample text**

The Theory of Magnetism (Harper & Row, New York, 1965), pp. 123–124, 133. , Phil. Mag. 7 (1962) 1731. E. , Phys. Rev. Lett. 20 (1968), 665. C. , J. Stat. Phys. 42 (1986) 405. C. , Phys. Rev. Lett. 59 (1987) 113. [74] Alastuey, A. and Martin, Ph. , Phys. Rev. A 40 (1989) 6485. , Phys. Rev. E 53 (1996) 4595–4631, and references therein. P. Young Department of Physics, University of California, Santa Cruz, California 95064, USA We ﬁrst give an experimental and theoretical introduction to spin glasses, and then discuss the nature of the phase transition in spin glasses with vector spins.

E 68 (2003) 041506:1–23. E. , Phys. Rev. Lett. 91 (2003), 065701. C. , Phys. Rev. Lett. 93 (2004) 185703. , J. Math. Phys. 5 (1964) 944. [60] Kaufman, B. , Phys. Rev. 76 (1949) 1244. , Physica 25 (1959) 521. [62] For recent, systematic and authoritative assessments of critical exponents for n-vector systems see: Guida, R. , J. Phys. A: Math. Gen. 31 (1998) 8103–8121 and Pelissetto, A. , Phys. Repts. 368 (2002) 549–727. , J. Stat. Phys. 50 (1988) 813; ibid. 55 (1989) 127. , J. Stat. Phys. (2004) [in press].

In the symmetric situation one has m† = h† = 0 and the minimum energy is clearly achieved by taking m1 parallel to m2 with both parallel ¯ = h1 = h2 increases through to h1 = h2 and so to the z-axis. Then when h zero the total magnetization, m1 + m2 , switches abruptly, in the expected, standard ﬁrst-order fashion, from −2m0 to +2m0 . More generally, however, when h† = 0 one must allow for the possibility that m1 and m2 are canted strongly away from the z-axis, say by angles θ1 and θ2 . If we suppose m1 and m2 remain coplanar, the mean-ﬁeld energy then takes the form Eeﬀ = −h1 m0 cos θ1 − h2 m0 cos θ2 − j cos(θ1 − θ2 ).

### Current Topics in Physics: In Honor of Sir Roger J. Elliot by K. K. Kaski R. A. Barrio

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