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Statistical dynamics of interacting kinks I

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  • Kawasaki, Kyozi
  • Nagai, Tatsuzo

Abstract

A statistical-mechanical theory is developed for a gas of kinks (or one-dimensional domain walls) interacting with exponential attractive forces, which models long-time behaviors of the bistable TDGL field equation. Employing a factorization approximation in the BBGKY-like hierarchical equations for the size distribution functions of consecutive domains, we obtain a kinetic equation for the size distribution function of a single domain. The scaling solution of thr latter yields the logarithmic growth law of domain sizes with the coefficient related to the width of the size distribution. Scattering structure function is also obtained. The results are compared with those of molecular dynamics and experiments on layered magnets.

Suggested Citation

  • Kawasaki, Kyozi & Nagai, Tatsuzo, 1983. "Statistical dynamics of interacting kinks I," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 121(1), pages 175-206.
    • Handle: RePEc:eee:phsmap:v:121:y:1983:i:1:p:175-206
    DOI: 10.1016/0378-4371(83)90250-9
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    1. Safran, William, 1983. "France in the Giscard Presidency. By J. R. Frears. (Boston: George Allen & Unwin, 1981. Pp. xii + 224. $24.50, cloth; $10.95, paper.)," American Political Science Review, Cambridge University Press, vol. 77(1), pages 235-236, March.
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