U. Wieser, U. Kunze, et al.
Physica E: Low-Dimensional Systems and Nanostructures
The long-time behavior of the displacement fluctuations in the sine-Gordon chain is studied in terms of the exponents c and d, characterizing the asymptotic time dependence of the meansquare displacement [Xl(t)-Xl(0)]2tc and of the correlation function {(1N)×l[Xl(t)-Xl(0)]}2td. Invoking the dynamic scaling hypothesis, it is shown that d=2c=2b, and the bounds 12<~1b<~1 are derived for the Hamiltonian case. The relativistic ideal-kink-gas picture leads to 1b=1. For a chain evolving according to a Langevin equation with large damping 1b=12 is obtained. © 1980 The American Physical Society.
U. Wieser, U. Kunze, et al.
Physica E: Low-Dimensional Systems and Nanostructures
Ellen J. Yoffa, David Adler
Physical Review B
T. Schneider, E. Stoll
Physical Review B
S.F. Fan, W.B. Yun, et al.
Proceedings of SPIE 1989