Titlebook: Ordering in Strongly Fluctuating Condensed Matter Systems; Tormod Riste Book 1980 Plenum Press, New York 1980 condensed matter.crystal.den

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Ordering in Strongly Fluctuating Systems Introductory Comments, amenable to calculation, as later papers will show in detail. Rather I will concentrate on three dimensional problems which are fluctuating in a different way from the familiar fluctuations of equilibrium in which there is a specified Hamiltonian and all states are accessible. This is not only beca

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Real-Space Renormalization-Group Method for Quantum Systems,tum systems show interesting transitions at T = 0 by varying a given parameter. This should be compared with the transitions in temperature of classical systems and, in many cases, a rigorous mapping has been established. The equivalent of a T = 0 quantum system in D dimension is generally a D+1 cla

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Upper Marginal Dimensionality. Concept and Experiment,e of one particular type of system, and we shall chose the language of magnetic systems. It is emphasized that simply by changing a few words the following description may be adapted to describe any second-order phase transition; for example, in the case of the gas-liquid transition around the criti

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Lower Marginal Dimensionality. X-Ray Scattering from the Smectic-A Phase of Iquid Crystals,tion X(q) directly measurable by scattering spectroscopy, may be treated in a self-consistent and correct way by simple mean field theory if the dimensionality exceeds a certain marginal dimensionality d*. In particular we stressed that d* depends on the volume in reciprocal space available to the c

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Lifshitz Points in Ising Systems with Competing Interactions, disordered, uniformly ordered and modulated ordered phases. Lifshitz points have been suggested for a variety of differedt systems including magnetic alloys.’., liquid crystals., TTF-TCNQ., and perovskites.. Recently, some very interesting experiments on liquid crystals. and on a structural phase t

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Elementary Excitations in Magnetic Chains,a tutorial way in certain simple cases, namely i) Magnons of XY like chains ii) solitary excitations of Ising-like chains iii) solitons of XY like chains in a field or anisotropy. Experimental examples like TMMC, CsNiF. and CsCoCl. are considered.

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Dynamics of The Sine-Gordon Chain: The Kink-Phonon Interaction, Soliton Diffusion and Dynamical Cortations: linear, phonon-like oscillations about some vacuum state and intrinsically non-linear, soliton-like kinks. The consistent scheme which leads to the identification of two separate sectors in the solution space of the nonlinear equation of motion carries the name of configurational phenomenol

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The Spin-Wave Continuum of The S=1/2 Linear Heisenberg Antiferromagnet,e statics and the dynamics have remained open. Recent low-temperature neutron-scattering experiments on CuCl.•2N(C.H.) (CPC), which is a good realization of an S=½ HB AF chain, provided new important information on the dynamics of the system, such as lineshapes and the behaviour in a magnetic field