By R. K. Bullough, D. J. Pilling, J. Timonen (auth.), Dr Umberto Balucani, Professor Stephen W. Lovesey, Professor Mario G. Rasetti, Professor Valerio Tognetti (eds.)
Contents: Statistical Mechanics and Mathematical Physics.- Random box difficulties, Spin Glasses and Chaotic Behaviour.- conception of Spin Excitations.- Spin Exitations: Experiments and machine Simulations.- Index of participants.
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Additional resources for Magnetic Excitations and Fluctuations II: Proceedings of an International Workshop, Turin, Italy, May 25–30, 1987
Rep. of Germany 2School of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978, Israel 1. Introducti on The purpose of this note is to summarize the ideas of theorists, in June 1987, about what the critical behaviour of the random field Ising model (RFIM) /1,2,3/ might be. A list of possibly exact relations between cri~ical exponents will be given, together with approximate ones which allow a direct comparison with experiment. "Possibly exact" relations are indeed the only results that theory is able to provide, because they rely on certain assumptions or approximations which will be summarized below.
C~ /1/. This causes a low frequency catastrophe that destroys long-range order (LRO), even in 3D, at any finite temperature leading to an unorthodox phase with possible algebraic decay of the correlation function /2/. Planar anisotropy leaves the infinite degeneracy of the ground state but it lifts the soft lines so restoring LRO. For anisotropy small enough we expect a conventional low-temperature ordered pnase followed by a "degenerate helix" (DH)-like phase at intermediate temperature before the paramagnetic high-temperature phase is reached.
At T-O it can be shown easily that the reduction factors, 1, are equal to the square of the appropriate Ham factors q and p, which are known for T-O [3,9]. The susceptibilities deviate greatly from the Curiebehavior, the reduction factors show a strong temperature dependence. The m-1 approximants, relevant for the limit of T/~, can be calculated analytically. We find that the susceptibilities show a Curie-Weiss behavior in the limit T/~: XUOUO~1/(T/O+2D/3) and XA2A2~1/(T/0+4D/3). Incorporating quadratic and anharmonic coupling terms [2-4] in our numerical procedure is quite straightforward.