Journal ArticleDOI
Mean field and exact results for structural phase transitions in one-dimensional and very anisotropic two-dimensional and three-dimensional systems
A. R. Bishop,J. A. Krumhansl +1 more
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In this paper, structural phase transitions are extended to two-dimensional systems and the model has relevance to transitions in ferroelectrics, to highly anisotropic organic and polymeric materials, and possibly to current discussions of nonlinear quantum field theories.Abstract:
Previous theoretical descriptions of one-dimensional structural phase transitions are extended to two- and three-dimensional systems. The model has relevance to transitions in ferroelectrics, to highly anisotropic organic and polymeric materials, and possibly to current discussions of nonlinear quantum field theories (following from the analogy between functional integral representations of statistical-mechanical partition functions for continuous fields, and Feynman path-integral formulation of quantum mechanics). (auth)read more
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Statistical mechanics of one-dimensional solitary-wave-bearing scalar fields: Exact results and ideal-gas phenomenology
Journal ArticleDOI
Phase transitions and heterophase fluctuations
TL;DR: In this article, a detailed description of quasiequilibrium systems in which phase transitions are accompanied by heterophase fluctuations is given, which lead to the appearance of the so-called pretransitional, or precursor, phenomena.
Journal ArticleDOI
Structural phase transitions III. Critical dynamics and quasi-elastic scattering
Alastair D. Bruce,R. A. Cowley +1 more
TL;DR: The results of scattering experiments revealing this phenomenon are surveyed in detail, and are used in an assessment of current theories, subdivided into three categories: those which seek to describe the phenomenon within an extended phonon-based theory; those which attempt to trace the effect to the formation of long-lived clusters of precursor order; and those which associate the quasi-elastic scattering with crystal imperfections as mentioned in this paper.
Journal ArticleDOI
Reggeon field theory for α(0) > 1
TL;DR: In this article, the authors studied the asymptotic behavior of the scattering amplitude when the pomeron has intercept α (0) larger than one and showed that the spectrum of such a system shows a degenerate ground state for α(0) > α c >~ 1 and a continuum with vanishing excitation gap at α ( 0) = α c.
Journal ArticleDOI
Kink, breather and asymmetric envelope or dark solitons in nonlinear chains. I. Monatomic chain
TL;DR: In this paper, the authors examined and obtained analytic expressions for the basic nonlinear excitations in a monoatomic chain with cubic and quartic interatomic potentials and verified their stability under collision.
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