Products of Random Matrices for Disordered Systems

Abstract

Products of random transfer matrices are applied to low dimensional disordered systems to evaluate numerically extensive quantities such as entropy and overlap probability distribution. The main advantage is the possibility to avoid numerical differentiation. The method works for arbitrary disorder distributions at any temperature.

9 pages + 3 figures TeX dialect (LaTeX + RevTeX 3.0)

References in corpus (1)

• Lack of self-average in weakly disordered one dimensional systems

Cited by in corpus (1)

• A generating function approach to the growth rate of random matrix products