Statistics and scaling in one-dimensional disordered systems
K M Slevin; J B Pendry; K M Slevin; Solid State Theory, Blackett Lab., Imperial Coll., London, UK; J B Pendry; Solid State Theory, Blackett Lab., Imperial Coll., London, UK
Журнал:
Journal of Physics: Condensed Matter
Дата:
1990-03-26
Аннотация:
The authors present a new calculation of the statistical cumulants of -ln mod t mod <sup>2</sup> and Theta where t= mod t mod exp(i Theta ) is the transmission of a one-dimensional (1D) disordered system. They find that both variables are normally distributed in the long-length limit, and that in general the distributions obey a two-parameter scaling. However, it does not follow that the distributions of mod t mod <sup>2</sup> or 1/ mod t mod <sup>2</sup> are log-normal. They find that mod t mod <sup>2</sup> is never log-normal while 1/ mod t mod <sup>2</sup> is so only for weak disorder. For the 1D Anderson model they show that there is a crossover to a single-parameter scaling in the weak-disorder limit.
581.6Кб