Nonlinear Phenomena at Phase Transitions and Instabilities
Springer US, 1982 - Science - 481 pages
This NATO Advanced Study Institute, held in Geilo between March 29th and April 9th 1981, was the sixth in a series devoted to the subject of phase transitions and instabilities. The present institute was intended to provide a forum for discussion of the importance of nonlinear phenomena associated with instabilities in systems as seemingly disparate as ferroelectrics and rotating buckets of oil. Ten years ago, at the first Geilo school, the report of a central peak in the fluctuation spectrum of SrTi0 close to its 3 106 K structural phase transition demonstrated that the simple soft-mode theory of such transitions was incomplete. The missing ingredient was the essential nonlinearity of the system. Parti cipants at this year's Geilo school heard assessments of a decade of experimental and theoretical effort which has been expended to elucidate the nature of this nonlinearity. The importance of order ed clusters and the walls which bound them was stressed in this con text. A specific type of wall, the soliton, was discussed by a number of speakers. New experimental results which purport to demonstrate the existence of solitons in a one-dimensional ferromagnet were presented. A detailed discussion was given of the role of solitons in transport phenomena in driven multistable systems, typified by a sine-Gordon chain.
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Anharmonic Properties near Structural Phase Transitions
Dynamic Correlations in the Ordered Phase of Perovskites
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amplitude analysis appears approximation becomes behavior boundary calculations compared consider constant convection coordinate correlation corresponding coupling critical crystal defined density dependence described determined diffusion direction discussed dislocation displacive dynamics effect energy equations equilibrium existence experimental experiments fact factor field Figure finite fixed fluctuations fluid frequency function given gives growth heat increases instability intensity interaction interface lattice layer length Lett light limit linear liquid mean measured melting mode motion Note observed obtained occur orientation oscillations parameter particle pattern peak periodic phase Phys Physics position possible potential present problem range Rayleigh recent region respectively rolls scale scattering shown shows solid solution space spectrum stability structure surface temperature term theory thermal tion transition universal vector wave width