Dynamics of The Sine-Gordon Chain: The Kink-Phonon Interaction, Soliton Diffusion and Dynamical Correlations

  • Nikos Theodorakopoulos
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 50)


Recent work on the equilibrium statistical mechanics of nonlinear one dimensional systems1,2 has suggested the existence of two types of elementary excitations: 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 phenomenology3. It implies the existence of non-interacting gases of elementary excitations — with appropriate self energy corrections to account for lowest order interaction effects — and provides us with a correct description of equilibrium properties. To what extent is such a conjecture, however, legitimate when applied to dynamic phenomena? Are we justified in thinking in terms of kinks which move, more or less freely, within the lattice? And, if not, how does one go about calculating such a quantity as the dynamical structure factor?


Elementary Excitation Spatial Shift Dynamical Structure Factor Stochastic Average Equilibrium Statistical Mechanic 
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Copyright information

© Plenum Press, New York 1980

Authors and Affiliations

  • Nikos Theodorakopoulos
    • 1
  1. 1.Fachbereich PhysikUniversität KonstanzKonstanzFederal Republic of Germany

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