Excitation Dynamics in Random One-Dimensional Systems

@inproceedings{Alexander1981ExcitationDI,
  title={Excitation Dynamics in Random One-Dimensional Systems},
  author={Shlomo Alexander and Jakob Bernasconi and W. R. Schneider and Raymond Lee Orbach},
  year={1981}
}
In a number of recent publications, [1] – [5], we have discussed the asymptotic form of the dynamics of a general type of random one-dimensional chains. The equations we discuss are of the form $${{\rm{C}}_n}\left( {\frac{{{\rm{d}}{{\rm{V}}_n}}}{{{\rm{dt}}}}} \right) = {{\rm{W}}_{n + 1}}\left( {{{\rm{V}}_{n,n + 1}} - {{\rm{V}}_n}} \right) + {{\rm{W}}_{n - 1}}\left( {{{\rm{V}}_{n,n - 1}} - {{\rm{V}}_n}} \right),\,\,\,\,{{\rm{W}}_{n,n + 1}} = {{\rm{W}}_{n,n + 1}},$$ (1) are independent… CONTINUE READING

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